Noise-enhanced propagation in a dissipative chain of triggers
|
|
- Abel Mills
- 6 years ago
- Views:
Transcription
1 Noise-enhanced propagation in a dissipative chain of triggers S. Morfu.C. Comte.M. Bilbault and P. Marquié Université de Bourgogne, LE2I, (F.R.E.) C.N.R.S BP DION cedex, FRANCE smorfu@u-bourgogne.fr February 24, 2002 Abstract: We study the influence of spatiotemporal noise on the propagation of square waves in an electrical dissipative chain of triggers. By numerical simulation, we show that noise plays an active role to improve signal transmission. Using the Signal to Noise Ratio at each cell, we estimate the propagation length. It appears that there s an optimum amount of noise that maximizes this length. This specific case of stochastic resonance shows that noise enhances propagation. 1 Introduction In linear systems, noise induces negative effects since the output Signal to Noise Ratio (S.N.R.) is a monotonous decreasing function of noise intensity, whereas the behavior is completely different with nonlinear systems. Indeed, in such systems, it has been shown that an appropriate external noise added to a weak signal of information, called subthreshold signal, can enhance the S.N.R. and then the signal detection [Gammaitoni et al., 199]. This effect known as Stochastic Resonance (SR), since its introduction to explain the periodic recurrence of ice ages in climate dynamics [Benzi et al., 191; Benzi et al., 193; Nicolis, 192], has been investigated in many fields [Gammaitoni et al., 199] like visual perception [Simonotto et al., 199; Ditzinger et al., 2000] or biology [Longtin, 1993; Gebeshuber, 2000; Zeng et al., 2000]. This phenomenon has been studied first in unicellular nonlinear systems, like the Schmitt trigger [Fauve & Heslot, 193; Melnikov, 1993; Godivier & Chapeau-Blondeau, 199; Gammaitoni et al., 1999], and more recently, considering lattices of coupled excitable cells [Lindner et al., 1995; Zhang et al., 199; Locher et al., 199; Lindner et al., 199; Chapeau-Blondeau, 1999; Chapeau- Blondeau & Rojas-Varela, 2000]. In particular, Chapeau-Blondeau [Chapeau-Blondeau, 1999] has shown that the propagation of a low amplitude or subthreshold wave in a nonlinear line of two states threshold elements could be assisted by the addition of noise. Considering overthreshold signals in a dissipative lattice, one might wonder if a spatiotemporal noise could also improve their propagation. In this paper, we study the response of a discrete dissipative electrical line to an initial periodic rectangular pulse train in presence of noise. For an appropriate value of the noise amplitude, we show that the propagation length is enhanced, compared to the case without noise. First, we present the discrete electrical transmission line and study the propagation of square pulses without noise. Adding noise and by a measurement of the S.N.R., a stochastic resonant behavior will appear, leading to the enhancement of the propagation length. 1
2 Presentation of the electrical lattice The electrical lattice consists in the succession of elementary cells. Each cell contains an RC low pass filter and a simple comparator with saturation and threshold voltages V OH and U th (figure 1). Figure 1: Schematic representation of the electrical lattice. R and C are linear components, while the comparators present an infinite input impedance and a threshold voltage U th. Applying Kirchoff laws leads to the differential equation between voltages U n 1 and U n, respectively at capacitors n and n 1: τ du n dt + U n = f(u n 1 ), (1) where τ = RC is the time constant of the low pass filters. In eq. (1), the nonlinear function f is the comparator characteristic expressed by: f(u n ) = V n = V OH 2 ( 1+tanh [k(u n U th )] ), (2) where k is the slope of the transfert characteristic. Let us consider, in this section, the response of the system without noise. The signal V 0 (t) launched at the input of the line is a periodic rectangular pulse train of amplitude V OH, period T s = 9τ and width t 0. The low state duration between two successive pulses is sufficient to consider separately each pulse (see figure 2), that is, the capacitors have time enough to be completely discharged (U n (T s ) 0). Let us consider now the case k in the nonlinearity. Then, f tends to an Heaviside function H, and therefore: V n = V OH H(U n U th ). (3) Expressing the charge and discharge of the first capacitor leads straightforwardly to the width t 1 of a pulse after the first comparator: [ ( VOH U th t 1 = t 0 + τ ln 1 exp ( t )] 0 τ ). U th In figure 2 are represented two pulses of the initial voltage signal V 0 (t), and the input and output voltages of the first comparator, respectively U 1 and V 1. Simple calculations allow to determine the recursion expression for the width t n of the resulting rectangular pulse V n (t) at the output of comparator n, that is: [ ( VOH U th t n = t n 1 +τ ln U th τ (4) 0 D 0 1 exp ( t n 1 Figure 2: Propagation of the initial train of pulses V 0 (t) throught the first cell. Voltages U 1 (t) and V 1 (t) represent respectively the voltages at the input and output of the first comparator. )] ). 2
3 & & ' ' ' & % = C A D + A I = N I Figure 3: Propagation of the square wave in the lattice. The solid lines represent, from left to right, one pulse at the output of comparators 1, 12 and 19, the dashed lines the voltages U 1, U 12, U 19 at their input (for a sake of clarity, only one period of each voltage U n (t) and V n (t) is represented). Results have been obtained by direct simulation of equations (1) and (2). The value of the width at the input of the line is t 0 = 3τ, while the other parameters are U th = 0.5 V, V OH = 1 V, k = 100, τ = 1 s. Figure 4: Propagation length n max versus the width of the pulses t 0 at the input: the solid line is the theoretical law obtained by the series (4); crosses are simulation results from equations (1) and (2). Parameters are U th = 0.5 V, V OH = 1 V, k = 100, τ = 1 s. This expression shows that t n decreases versus n, revealing the dissipative effect. As a consequence, there exists a maximal propagation length n max (last cell number for which t n > 0) over which propagation stops (see figure 3 for the special case n max =19). Indeed, the charge of capacitor at cell n = n max + 1 is not sufficient to reach the threshold value U th. The propagation length has been obtained by direct simulation of eqs. (1) and (2) with a fourth order Runge-Kutta algorithm. Figure 4 shows a good agreement between theoretical and simulation results and provides a measurement of the propagation length n max without noise. 3 Noise effects As we have defined the propagation properties in the lattice without noise, we will present, in this section, the results obtained by considering spatiotemporal noise effects. So, spatiotemporal zero mean white noise of amplitude A is added to % & ' &. H A G K A? O 0 Figure 5: Power Spectrum of the cell number 22. Parameters are U th = 0.5 V, V OH = 1 V, k = 100, τ = 1 s, T S = 9τ, t 0 = 3 τ, A = 0.15 V. each voltage U n (t). For a given zero mean uniform noise over [ A, A], one hundred simulations are performed with the same initial condition (periodic square pulse train with period T S = 9τ and width 3τ). We calculate then, for each cell, the Power Spectrum (P.S.) of signal V n (t). Each P.S. consists of an amount of spectral peaks at multiple integers of 1/T s emerging from a 1/f background noise (figure 5). 3
4 & & Using the P.S., the S.N.R. can be defined, at frequency 1/T S, as the ratio between the coherent signal and the background noise powers, respectively ( ) S S.N.R. = 10 log 10. (5) N = N Here, the signal power S is obtained by subtracting the noise background N, estimated around 1/T s, from the total power at the frequency 1/T s [Lindner et al., 199]. On figure 6 is represented the S.N.R. as a function of noise amplitude A for several cell numbers. Two behaviors appear then: (i) Cells 10, 15 and 1 for which n n max = 19, display a monotonous decreasing S.N.R. curve versus noise amplitude. Indeed, the coherent signal can reach these cells in absence of noise, so noise has a negative influence on propagation. (ii) The S.N.R. curves of more distant cells (n > n max ) show that there exists an amount of noise amplitude that maximizes the S.N.R., revealing the S.R. effect. In coupled noisy systems, a standard propagation length n max definition, for a given noise amplitude, 5 * ) Figure : Propagation length n max versus noise amplitude A. Parameters are U th = 0.5 V, V OH = 1 V, k = 100, T S = 9τ, t 0 = 3 τ, τ = 1 s. corresponds to the last cell whose S.N.R. is greater than a reference level, 0 db for instance [Chapeau- Blondeau, 1999]. Under these conditions, figure shows this propagation length with respect to noise amplitude A. There is a range of noise amplitudes, namely 0 < A < 0.35 V, that give a propagation length greater than n max. An optimum appears then for A = allowing the information signal to reach the 31 th cell (instead of the 19 th without noise). In that sense, this increasing of propagation performance shows that noise enhances propagation. Note that, in the case of temporal noise (the same noise is added to each signal U n (t)), a more spectacular enhancement of propagation is obtained with an optimum reached for A = 0.2, giving a propagation length three times greater than without noise. 4 Conclusion ) Figure 6: S.N.R. versus noise amplitude A. From top to bottom cell numbers 10, 15, 1, 22, 23, and 2. Parameters are U th = 0.5 V, V OH = 1 V, k = 100, T S = 9τ, t 0 = 3 τ, τ = 1 s. In this letter, we have considered the propagation of an overthreshold signal through a nonlinear dissipative chain of triggers. We have analytically proved in this exemple that, without noise, the dissipation leads to a maximal distance of propagation n max. Then, adding an appropriate amount of noise enhances propagation, since it allows the information signal to propagate farther in the lat- 4
5 tice (n max > n max ). References Benzi R., Sutera A. & Vulpiani A. [191] The mechanism of stochastic resonance. Phys. A, 14, Benzi R., G. Parisi, A. Sutera, & A. Vulpiani [192] Stochastic resonance in climate changes Tellus, 34, Chapeau-Blondeau F. [1999] Noise-assisted propagation over a nonlinear line of threshold elements Electron. Lett., 13, Chapeau-Blondeau F. & Rojas-Varela. [2000] Nonlinear signal propagation enhanced by noise via stochastic resonance Int.. Bifurcation and Chaos, 10, Ditzinger T., Stadler M., Struber D., & Kelso.A.S. [2000] Noise improves three-dimensional perception: Stochastic resonance and other impacts of noise to the perception of autostereograms Phys. Rev. E, 2, Fauve S. & F. Heslot [193] Stochastic resonance in a bistable system Phys. Lett. A, 9, 5-. Gammaitoni L., Hng P.ung P. & Marchesoni F. [199] Stochastic Resonance Rev. Mod. Phys., 0, Gammaitoni L., Lcher M., Bulsara A., Hnggi P., Neff., Wiesenfeld K., Ditto W. & Inchiosa M. E. [1999] Controlling stochastic resonance Phys. Rev. Lett., 23, Lindner. F., Meadows B. K., Ditto W. L., Inchiosa M. E. & Bulsara A.R. [1995] Array enhanced stochastic resonance and spatiotemporal synchronization Phys. Rev. Lett., 5, 3-6. Lindner. F., Chandramouli S., Bulsara A. R., Lcher M. & Ditto W. L. [199] Noise enhanced propagation Phys. Rev. Lett., 23, Löcher M., Cigna D. & Hunt E. R., [199] Noise substained propagation of a signal in coupled bistable electronic elements Phys. Rev. Lett., 0, Longtin A. [1993] Stochastic resonance in neuron models. Statist. Phys., 0, Melkinov V.I. [1993] Schmitt trigger: a solvable model of stochastic resonance Phys. Rev. E, 4, Nicolis C. [192] Stochastic aspects of climatic transitions-response to periodic forcing Tellus, 34, 1-9. Simonotto E., Riani M., Seife C., Roberts M., Twitty., & Moss F. [199] Visual perception of stochastic resonance Phys. Rev. Lett., 6, Zeng F., Fu Q. & Morse R. [2000] Human hearing enhanced by noise Brain Research, 69, Zhang Y., Hu G., & Gammaitoni L., [199] Signal transmission in one-way coupled bistable systems: Noise effect Phys. Rev. E, 3, Gebeshuber I. C. [2000] The influence of stochastic behavior on the human threshold of hearing Chaos, Solitons and Fractals, 11, Godivier X. & Chapeau-Blondeau F. [199] Noiseassisted signal transmission in a nonlinear electronic comparator: Experiment and theory Signal Processing, 56,
March 9, :18 Int J. Bifurcation and Chaos/INSTRUCTION FILE Morfu2v2 EFFECT OF NOISE AND STRUCTURAL INHOMOGENEITIES IN REACTION DIFFUSION MEDIA
March 9, 2007 10:18 Int J. Bifurcation and Chaos/INSTRUCTION FILE Int J. Bifurcation and Chaos Submission Style EFFECT OF NOISE AND STRUCTURAL INHOMOGENEITIES IN REACTION DIFFUSION MEDIA S. Morfu Laboratoire
More informationarxiv: v1 [nlin.ps] 21 Sep 2008
Stochastic Resonance in the Fermi-Pasta-Ulam Chain George Miloshevich, Ramaz Khomeriki,, Stefano Ruffo () Physics Department, Tbilisi State University, 8 Tbilisi (Georgia) () Max-Planck-Institut fur Physik
More informationarxiv: v1 [nlin.ao] 4 Nov 2009
One-bit stochastic resonance storage device S. A. Ibáñez 1 P. I. Fierens 1 G. A. Patterson 2 R. P. J. Perazzo 1 D. F. Grosz 1,2,3 November 17, 2018 arxiv:0911.0878v1 [nlin.ao] 4 Nov 2009 Abstract The increasing
More informationOrdering periodic spatial structures by non-equilibrium uctuations
Physica A 277 (2000) 327 334 www.elsevier.com/locate/physa Ordering periodic spatial structures by non-equilibrium uctuations J.M.G. Vilar a;, J.M. Rub b a Departament de F sica Fonamental, Facultat de
More informationStochastic resonance of electrochemical aperiodic spike trains
Stochastic resonance of electrochemical aperiodic spike trains P. Parmananda, 1 Gerardo J. Escalera Santos, 1 M. Rivera, 1 and Kenneth Showalter 2 1 Facultad de Ciencias, UAEM, Avenida Universidad 1001,
More informationNonlinear Stochastic Resonance with subthreshold rectangular pulses arxiv:cond-mat/ v1 [cond-mat.stat-mech] 15 Jan 2004.
Nonlinear Stochastic Resonance with subthreshold rectangular pulses arxiv:cond-mat/4163v1 [cond-mat.stat-mech] 15 Jan 4 Jesús Casado-Pascual, José Gómez-Ordóñez, and Manuel Morillo Física Teórica, Universidad
More informationStochastic resonance and the benefit of noise in nonlinear systems
Noise, Oscillators and Algebraic Randomness From Noise in Communication Systems to Number Theory. pp. 137-155 ; M. Planat, ed., Lecture Notes in Physics, Vol. 550, Springer (Berlin) 2000. Stochastic resonance
More informationEnhancing aperiodic stochastic resonance through noise modulation
CHAOS VOLUME 8, NUMBER 3 SEPTEMBER 1998 Enhancing aperiodic stochastic resonance through noise modulation Carson C. Chow Center for BioDynamics and Department of Mathematics, Boston University, Boston,
More informationSignal-to-noise ratio of a dynamical saturating system: Switching from stochastic resonator to signal processor
Physica A 387 (2008) 2394 2402 www.elsevier.com/locate/physa Signal-to-noise ratio of a dynamical saturating system: Switching from stochastic resonator to signal processor François Chapeau-Blondeau a,
More informationAperiodic stochastic resonance and phase synchronization
Physics Letters A 326 (2004) 391 396 www.elsevier.com/locate/pla Aperiodic stochastic resonance and phase synchronization Kwangho Park a, Ying-Cheng Lai a,b,, Zonghua Liu a, Arje Nachman c a Department
More informationarxiv:chao-dyn/ v1 20 May 1994
TNT 94-4 Stochastic Resonance in Deterministic Chaotic Systems A. Crisanti, M. Falcioni arxiv:chao-dyn/9405012v1 20 May 1994 Dipartimento di Fisica, Università La Sapienza, I-00185 Roma, Italy G. Paladin
More informationNOISE ENHANCED ANISOTROPIC DIFFUSION FOR SCALAR IMAGE RESTORATION. 6, avenue du Ponceau Cergy-Pontoise, France.
NOISE ENHANCED ANISOTROPIC DIFFUSION FOR SCALAR IMAGE RESTORATION Aymeric HISTACE 1, David ROUSSEAU 2 1 Equipe en Traitement d'image et du Signal UMR CNRS 8051 6, avenue du Ponceau 95014 Cergy-Pontoise,
More informationSTOCHASTIC RESONANCE IN MONOSTABLE SYSTEMS
Published in J. Phys. A: Mat. Gen. 26, L385-39 (1993). STOCHASTIC RESONANCE IN MONOSTABLE SYSTEMS N G Stocks, N D Stein and P V E McClintock School of Physics and Materials, Lancaster University, Lancaster,
More informationStochastic resonance in a monostable system driven by square-wave signal and dichotomous noise
Stochastic resonance in a monostable system driven by square-wave signal and dichotomous noise Guo Feng( 郭锋 ) a), Luo Xiang-Dong( 罗向东 ) a), Li Shao-Fu( 李少甫 ) a), and Zhou Yu-Rong( 周玉荣 ) b) a) School of
More informationCharacterization of stochastic resonance
EUROPHYSICS LETTERS 15 May 25 Europhys. Lett., 7 (4), pp. 432 438 (25) DOI: 1.129/epl/i25-121-7 Characterization of stochastic resonance K. Park 1 and Y.-C. Lai 2 1 Department of Mathematics, Arizona State
More informationEffects of colored noise on stochastic resonance in a bistable system subject to multiplicative and additive noise
PHYSICAL REVIEW E, VOLUME 63, 031107 Effects of colored noise on stochastic resonance in a bistable system subject to multiplicative and additive noise Ya Jia, 1, * Xiao-ping Zheng, 1 Xiang-ming Hu, 1
More informationStochastic resonance in the absence and presence of external signals for a chemical reaction
JOURNAL OF CHEMICAL PHYSICS VOLUME 110, NUMBER 7 15 FEBRUARY 1999 Stochastic resonance in the absence and presence of external signals for a chemical reaction Lingfa Yang, Zhonghuai Hou, and Houwen Xin
More informationOn the use of multistability for image processing
On the use of multistability for image processing S. Morfu, B. Nofiele, P. Marquié Laboratoire d Electronique, Informatique et Image (LE2i) UMR Cnrs 5158, Aile des Sciences de l Ingénieur, BP 80, 2108
More informationSuprathreshold stochastic resonance and signal-to-noise ratio improvement in arrays of comparators
Physics Letters A 321 (2004) 280 290 www.elsevier.com/locate/pla Suprathreshold stochastic resonance and signal-to-noise ratio improvement in arrays of comparators David Rousseau, François Chapeau-Blondeau
More informationGenetic transcriptional regulatory model driven by the time-correlated noises
Brazilian Journal of Physics, vol. 40, no. 3, September, 010 95 Genetic transcriptional regulatory model driven by the time-correlated noises Xiao-miao Zhang, Bao-quan Ai, and Jian-wen Xiong Laboratory
More informationPacemaker enhanced noise-induced synchrony in cellular arrays
Physics Letters A 353 (2006) 372 377 www.elsevier.com/locate/pla Pacemaker enhanced noise-induced synchrony in cellular arrays Matjaž Perc, Marko Marhl Department of Physics, Faculty of Education, University
More informationApplication of nonlinear systems for designing low-power logic gates based on stochastic resonance
NOLTA, IEICE Paper Application of nonlinear systems for designing low-power logic gates based on stochastic resonance Gonzalez-Carabarin Lizeth 1,TetsuyaAsai 1a), and Masato Motomura 1 1 Graduate School
More informationCoherence and stochastic resonance in a two-state system
PHYSICAL REVIEW E VOLUME 61, NUMBER 6 JUNE 2000 Coherence and stochastic resonance in a two-state system Benjamin Lindner and Lutz Schimansky-Geier Humboldt-University at Berlin, Invalidenstrasse 110,
More informationBill Scheftic Feb 2nd 2008 Atmo595c
Bill Scheftic Feb 2nd 2008 Atmo595c Review: White Noise and Red Noise ` ` Hasselman s noise forced climate External Climate forcings: Insolation Cycles Mechanisms for continuous climate variability Stochastic/Coherence
More informationEffect of common noise on phase synchronization in coupled chaotic oscillators
CHAOS 17, 013105 2007 Effect of common noise on phase synchronization in coupled chaotic oscillators Kwangho Park Department of Electrical Engineering, Arizona State University, Tempe, Arizona 85287 Ying-Cheng
More informationLinear and nonlinear approximations for periodically driven bistable systems
Invited Paper Linear and nonlinear approximations for periodically driven bistable systems Alexander A. Dubkov a, Bernardo Spagnolo b, and Davide Valenti b a Radiophysics Department, Nizhni Novgorod State
More informationA Possible Model of Noise EnhancedVisual Perception in Human Vision
A Possible Model of Noise EnhancedVisual Perception in Human Vision Ajanta Kundu Applied Nuclear Physics Division Saha Institute of Nuclear Physics 1/AF Bidhannagar, Kolkata, India ajanta.kundu@saha.ac.in
More informationPerformance comparison of stochastic resonance receiver with Schmitt trigger, comparator, and three-level device for subthreshold signal reception
NOLTA, IEICE Paper Performance comparison of stochastic resonance receiver with Schmitt trigger, comparator, and three-level device for subthreshold signal reception Hiroya Tanaka 1a), Takaya Yamazato
More informationarxiv: v1 [nlin.ao] 12 Jun 2008
Diversity-induced resonance in a system of globally coupled linear oscillators Raúl Toral 1, Emilio Hernández-García 1, James D. Gunton 2 1- IFISC (Instituto de Física Interdisciplinar y Sistemas Complejos),
More informationCompactlike Kink Solutions in Reaction Diffusion Systems. Abstract
Compactlike Kink Solutions in Reaction Diffusion Systems J.C. Comte Physics Department, University of Crete and Foundation for Research and Technology-Hellas P. O. Box 2208, 71003 Heraklion, Crete, Greece
More informationNoise Induced Phase Transition in a Two-dimensional Coupled Map Lattice
Noise Induced Phase Transition in a Two-dimensional Coupled Map Lattice Valery I. Sbitnev * Department of Condensed State Research, B. P. Konstantinov Petersburg Nuclear Physics Institute, Russian Academy
More informationThe correlation between stochastic resonance and the average phase-synchronization time of a bistable system driven by colour-correlated noises
Chin. Phys. B Vol. 19, No. 1 (010) 01050 The correlation between stochastic resonance and the average phase-synchronization time of a bistable system driven by colour-correlated noises Dong Xiao-Juan(
More informationLecture 4: Importance of Noise and Fluctuations
Lecture 4: Importance of Noise and Fluctuations Jordi Soriano Fradera Dept. Física de la Matèria Condensada, Universitat de Barcelona UB Institute of Complex Systems September 2016 1. Noise in biological
More informationUseful Noise Effect for Nonlinear PDE Based Restoration of Scalar Images
International Journal of Computer Information Systems and Industrial Management Applications. ISSN 25-7988 Volume 4 (22) pp. 4 49 c MIR Labs, www.mirlabs.net/ijcisim/index.html Useful Noise Effect for
More informationOptimal Mean-Square Noise Benefits in Quantizer-Array Linear Estimation Ashok Patel and Bart Kosko
IEEE SIGNAL PROCESSING LETTERS, VOL. 17, NO. 12, DECEMBER 2010 1005 Optimal Mean-Square Noise Benefits in Quantizer-Array Linear Estimation Ashok Patel and Bart Kosko Abstract A new theorem shows that
More informationNonlinear Systems for Image Processing
Nonlinear Systems for Image Processing Saverio Morfu, Patrick Marquié, Brice Nofiele, Dominique Ginhac To cite this version: Saverio Morfu, Patrick Marquié, Brice Nofiele, Dominique Ginhac. Nonlinear Systems
More informationSignal amplification in NbN superconducting resonators via stochastic resonance
Physics Letters A 370 (2007) 449 453 www.elsevier.com/locate/pla Signal amplification in NbN superconducting resonators via stochastic resonance Baleegh Abdo, Eran Segev, Oleg Shtempluck, Eyal Buks Microelectronics
More informationVibrational resonance
Published in J. Phys. A: Math. Gen. 33, L433 L438 (2000). LETTER TO THE EDITOR Vibrational resonance P S Landa andpvemcclintock Department of Physics, Lomonosov Moscow State University, 119899 Moscow,
More informationA short tutorial on optical rogue waves
A short tutorial on optical rogue waves John M Dudley Institut FEMTO-ST CNRS-Université de Franche-Comté Besançon, France Experiments in collaboration with the group of Guy Millot Institut Carnot de Bourgogne
More informationarxiv:nlin/ v1 [nlin.ps] 17 Jun 2005
Stochastic Resonance in Underdamped, Bistable Systems arxiv:nlin/0506039v1 [nlin.ps] 17 Jun 2005 Rajarshi Ray a,b and Supratim Sengupta c,d a Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai
More informationSTOCHASTIC RESONANCE IN THE INFORMATION CAPACITY OF A NONLINEAR DYNAMIC SYSTEM
International Journal of ifurcation and Chaos, Vol. 8, No. 3 (998) 58 589 c World Scientific Publishing Company STOCHSTIC RESONNCE IN THE INFORMTION CPCITY OF NONLINER DYNMIC SYSTEM XVIER GODIVIER and
More informationGroup interactions of dissipative solitons in a laser cavity: the case of 2+1
Group interactions of dissipative solitons in a laser cavity: the case of +1 Philippe Grelu and Nail Akhmediev * Laboratoire de Physique de l Université de Bourgogne, Unité Mixte de Recherche 507 du Centre
More informationarxiv:chao-dyn/ v1 5 Mar 1996
Turbulence in Globally Coupled Maps M. G. Cosenza and A. Parravano Centro de Astrofísica Teórica, Facultad de Ciencias, Universidad de Los Andes, A. Postal 26 La Hechicera, Mérida 5251, Venezuela (To appear,
More informationEffect of Non Gaussian Noises on the Stochastic Resonance-Like Phenomenon in Gated Traps. Abstract
Effect of Non Gaussian Noises on the Stochastic Resonance-Like Phenomenon in Gated Traps Jorge A. Revelli 1 Alejandro D. Sánchez 2, and Horacio S. Wio 1 1) Grupo de Física Estadística Centro Atómico Bariloche
More informationArray enhanced coherence resonance and forced dynamics in. coupled FitzHugh Nagumo neurons with noise
Array enhanced coherence resonance and forced dynamics in coupled FitzHugh Nagumo neurons with noise Yuji Shinohara, Takashi Kanamaru, Hideyuki Suzuki, Takehiko Horita, and Kazuyuki Aihara, Department
More informationRobust stochastic resonance for simple threshold neurons
PHYSICAL REVIEW E 70, 031911 (004) Robust stochastic resonance for simple threshold neurons Bart Kosko 1 and Sanya Mitaim 1 Department of Electrical Engineering, Signal and Image Processing Institute,
More informationSTUDY OF SYNCHRONIZED MOTIONS IN A ONE-DIMENSIONAL ARRAY OF COUPLED CHAOTIC CIRCUITS
International Journal of Bifurcation and Chaos, Vol 9, No 11 (1999) 19 4 c World Scientific Publishing Company STUDY OF SYNCHRONIZED MOTIONS IN A ONE-DIMENSIONAL ARRAY OF COUPLED CHAOTIC CIRCUITS ZBIGNIEW
More informationNoisy dynamics in nanoelectronic systems. Technische Physik, Universität Würzburg, Germany
Noisy dynamics in nanoelectronic systems Lukas Worschech Technische Physik, Universität Würzburg, Germany Team Transport: FH F. Hartmann, SK S. Kremling, S. SGöpfert, L. LGammaitoni i Technology: M. Emmerling,
More informationStochastic resonance Evgeny Bogomolny ID
Non-linear dynamics project Guided by prof. Y.Zarmi Stochastic resonance Evgeny Bogomolny ID 306654559 Preface Stochastic resonance (SR) provides a intriguing example of a noise-induced transition in a
More informationEnergy harvesting in nanoelectronic devices. Technische Physik, Universität Würzburg, Germany
Energy harvesting in nanoelectronic devices Lukas Worschech Technische Physik, Universität Würzburg, Germany Energy harvesting with nanoelectronics Energy harvesting: Energy provider+transducer+rectifier
More informationPersistency of noise-induced spatial periodicity in excitable media
EUROPHYSICS LETTERS 1 December 2005 Europhys. Lett., 72 (5), pp. 712 718 (2005) DOI: 10.1209/epl/i2005-10298-4 Persistency of noise-induced spatial periodicity in excitable media M. Perc Department of
More informationin a Chaotic Neural Network distributed randomness of the input in each neuron or the weight in the
Heterogeneity Enhanced Order in a Chaotic Neural Network Shin Mizutani and Katsunori Shimohara NTT Communication Science Laboratories, 2-4 Hikaridai, Seika-cho, Soraku-gun, Kyoto, 69-237 Japan shin@cslab.kecl.ntt.co.jp
More informationAsynchronous updating of threshold-coupled chaotic neurons
PRAMANA c Indian Academy of Sciences Vol. 70, No. 6 journal of June 2008 physics pp. 1127 1134 Asynchronous updating of threshold-coupled chaotic neurons MANISH DEV SHRIMALI 1,2,3,, SUDESHNA SINHA 4 and
More informationarxiv:cond-mat/ v2 [cond-mat.stat-mech] 6 Sep 1999
Enhanced Pulse Propagation in Non-Linear Arrays of Oscillators arxiv:cond-mat/996438v2 [cond-mat.stat-mech] 6 Sep 1999 Antonio Sarmiento, Ramon Reigada, Aldo H. Romero, and Katja Lindenberg Department
More informationSTOCHASTIC RESONANCE (SR) is a nonlinear physical
3172 IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 55, NO. 7, JULY 2007 Theory of the Stochastic Resonance Effect in Signal Detection: Part I Fixed Detectors Hao Chen, Student Member, IEEE, Pramod K. Varshney,
More informationStochastic Resonance of a Flexible Chain Crossing over a Barrier
arxiv:0911.2825v2 [cond-mat.soft] 17 Nov 2009 Stochastic Resonance of a Flexible Chain Crossing over a Barrier Mesfin Asfaw a and Wokyung Sung b a Asian Pacific Center for Theoretical Physics, Pohang 790-784,
More informationStochastic Oscillator Death in Globally Coupled Neural Systems
Journal of the Korean Physical Society, Vol. 52, No. 6, June 2008, pp. 19131917 Stochastic Oscillator Death in Globally Coupled Neural Systems Woochang Lim and Sang-Yoon Kim y Department of Physics, Kangwon
More informationThis article was originally published in a journal published by Elsevier, and the attached copy is provided by Elsevier for the author s benefit and for the benefit of the author s institution, for non-commercial
More informationWEAK SIGNAL DETECTION BASED ON TWO DIMENSIONAL STOCHASTIC RESONANCE. Leonardo Barbini, Matthew O. T. Cole, Andrew J. Hillis, Jonathan L.
WEAK SIGNAL DETECTION BASED ON TWO DIMENSIONAL STOCHASTIC RESONANCE Leonardo Barbini, Matthew O. T. Cole, Andrew J. Hillis, Jonathan L. du Bois University of Bath Department of Mechanical Engineering Claverton
More informationParameter Diversity Induced Multiple Spatial Coherence Resonances and Spiral Waves in Neuronal Network with and Without Noise
Commun. Theor. Phys. 57 (2012) 817 824 Vol. 57, No. 5, May 15, 2012 Parameter Diversity Induced Multiple Spatial Coherence Resonances and Spiral Waves in Neuronal Network with and Without Noise LI Yu-Ye
More informationBidirectional Coupling of two Duffing-type Circuits
Proceedings of the 7th WSEAS International Conference on Systems Theory and Scientific Computation, Athens, Greece, August 4-6, 7 45 Bidirectional Coupling of two Duffing-type Circuits Ch. K. VOLOS, I.
More informationOptimizing the speckle noise for maximum efficacy of data acquisition in coherent imaging
Chapeau-Blondeau et al. Vol. 25, No. 6/ June 2008/J. Opt. Soc. Am. A 1287 Optimizing the speckle noise for maximum efficacy of data acquisition in coherent imaging François Chapeau-Blondeau, 1 David Rousseau,
More informationStochastic resonance in noisy threshold neurons
Neural Networks 16 (2003) 755 761 2003 Special issue Stochastic resonance in noisy threshold neurons Bart Kosko a, *, Sanya Mitaim b www.elsevier.com/locate/neunet a Department of Electrical Engineering,
More informationTime Varying Circuit Analysis
MAS.836 Sensor Systems for Interactive Environments th Distributed: Tuesday February 16, 2010 Due: Tuesday February 23, 2010 Problem Set # 2 Time Varying Circuit Analysis The purpose of this problem set
More informationANALYTICAL DETERMINATION OF INITIAL CONDITIONS LEADING TO FIRING IN NERVE FIBERS
ANALYTICAL DETERMINATION OF INITIAL CONDITIONS LEADING TO FIRING IN NERVE FIBERS Sabir Jacquir, Stéphane Binczak, Jean-Marie Bilbault To cite this version: Sabir Jacquir, Stéphane Binczak, Jean-Marie Bilbault.
More informationK. Pyragas* Semiconductor Physics Institute, LT-2600 Vilnius, Lithuania Received 19 March 1998
PHYSICAL REVIEW E VOLUME 58, NUMBER 3 SEPTEMBER 998 Synchronization of coupled time-delay systems: Analytical estimations K. Pyragas* Semiconductor Physics Institute, LT-26 Vilnius, Lithuania Received
More informationTime Delay Induced Stochastic Resonance in One Species Competition Ecosystem without a Periodic Signal
Commun. Theor. Phys. 57 (2012) 619 623 Vol. 57, No. 4, April 15, 2012 Time Delay Induced Stochastic Resonance in One Species Competition Ecosystem without a Periodic Signal WANG Xiu-Hua ( ), 1 BAI Li (Ü
More informationRICH VARIETY OF BIFURCATIONS AND CHAOS IN A VARIANT OF MURALI LAKSHMANAN CHUA CIRCUIT
International Journal of Bifurcation and Chaos, Vol. 1, No. 7 (2) 1781 1785 c World Scientific Publishing Company RICH VARIETY O BIURCATIONS AND CHAOS IN A VARIANT O MURALI LAKSHMANAN CHUA CIRCUIT K. THAMILMARAN
More informationEffects of Interactive Function Forms in a Self-Organized Critical Model Based on Neural Networks
Commun. Theor. Phys. (Beijing, China) 40 (2003) pp. 607 613 c International Academic Publishers Vol. 40, No. 5, November 15, 2003 Effects of Interactive Function Forms in a Self-Organized Critical Model
More informationNature-inspired Analog Computing on Silicon
Nature-inspired Analog Computing on Silicon Tetsuya ASAI and Yoshihito AMEMIYA Division of Electronics and Information Engineering Hokkaido University Abstract We propose CMOS analog circuits that emulate
More informationAnalysis of Neural Networks with Chaotic Dynamics
Chaos, Solitonr & Fructals Vol. 3, No. 2, pp. 133-139, 1993 Printed in Great Britain @60-0779/93$6.00 + 40 0 1993 Pergamon Press Ltd Analysis of Neural Networks with Chaotic Dynamics FRANCOIS CHAPEAU-BLONDEAU
More informationEmergence of resonances in neural systems: the interplay between adaptive threshold and short-term synaptic plasticity
Emergence of resonances in neural systems: the interplay between adaptive threshold and short-term synaptic plasticity Jorge F. Mejias 1,2 and Joaquín J. Torres 2 1 Department of Physics and Center for
More informationChapter Three Theoretical Description Of Stochastic Resonance 24
Table of Contents List of Abbreviations and Symbols 5 Chapter One Introduction 8 1.1 The Phenomenon of the Stochastic Resonance 8 1.2 The Purpose of the Study 10 Chapter Two The Experimental Set-up 12
More informationOptimal quantization for energy-efficient information transfer in a population of neuron-like devices
Optimal quantization for energy-efficient information transfer in a population of neuron-like devices Mark D. McDonnell a, Nigel G. Stocks b, Charles E. M. Pearce c, Derek Abbott a a Centre for Biomedical
More informationarxiv: v1 [physics.bio-ph] 2 Jul 2008
Modeling Excitable Systems Jarrett L. Lancaster and Edward H. Hellen University of North Carolina Greensboro, Department of Physics and Astronomy, Greensboro, NC 27402 arxiv:0807.0451v1 [physics.bio-ph]
More informationExperimental and numerical realization of higher order autonomous Van der Pol-Duffing oscillator
Indian Journal of Pure & Applied Physics Vol. 47, November 2009, pp. 823-827 Experimental and numerical realization of higher order autonomous Van der Pol-Duffing oscillator V Balachandran, * & G Kandiban
More informationNeural Excitability in a Subcritical Hopf Oscillator with a Nonlinear Feedback
Neural Excitability in a Subcritical Hopf Oscillator with a Nonlinear Feedback Gautam C Sethia and Abhijit Sen Institute for Plasma Research, Bhat, Gandhinagar 382 428, INDIA Motivation Neural Excitability
More informationStable One-Dimensional Dissipative Solitons in Complex Cubic-Quintic Ginzburg Landau Equation
Vol. 112 (2007) ACTA PHYSICA POLONICA A No. 5 Proceedings of the International School and Conference on Optics and Optical Materials, ISCOM07, Belgrade, Serbia, September 3 7, 2007 Stable One-Dimensional
More informationDemonstration of Chaos
revised 1/27/08 Demonstration of Chaos Advanced Laboratory, Physics 407 University of Wisconsin Madison, Wisconsin 53706 Abstract A simple resonant inductor-resistor-diode series circuit can be used to
More informationSignal Processing and Control in Nonlinear Nanomechanical Systems
Signal Processing and Control in Nonlinear Nanomechanical Systems R. L. Badzey 1, G. Zolfagharkhani 1, S.-B. Shim 1,A.Gaidarzhy 1 and P. Mohanty 1 Department of Physics, Boston University, Boston, MA 2215,
More informationWavelet Spectral Analysis of the Earth s Orbital Variations and Paleoclimatic Cycles
15 JANUARY 1998 LIU AND CHAO 227 Wavelet Spectral Analysis of the Earth s Orbital Variations and Paleoclimatic Cycles HAN-SHOU LIU AND BENJAMIN F. CHAO Geodynamics Branch, NASA/Goddard Space Flight Center,
More informationHSCoPP 2004 dynamics control in plasmas the experimentalist s point de vue
HSCoPP 2004 dynamics control in plasmas the experimentalist s point de vue I. Controlling chaos II. III. Controlling noise Controlling turbulence Thomas Klinger - Max-Planck-Institut für Plasmaphysik Greifswald
More informationStochastic resonance. Luca Gammaitoni. Peter Hänggi. Peter Jung. Fabio Marchesoni
Stochastic resonance Luca Gammaitoni Dipartimento di Fisica, Università di Perugia, and Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, VIRGO-Project, I-06100 Perugia, Italy Peter Hänggi Institut
More informationBreather Modes Induced by Localized RF Radiation: Analytical and Numerical Approaches
Proceedings of the 5th International Conference on Nonlinear Dynamics ND-KhPI2016 September 27-30, 2016, Kharkov, Ukraine Breather Modes Induced by Localized RF Radiation: Analytical and Numerical Approaches
More informationCutoff and leakage properties of bi-soliton and its existent parameter range
Cutoff and leakage properties of bi-soliton and its existent parameter range Akihiro Maruta * and Yoshifumi Asao Graduate School of Engineering, Osaka University - Yamada-oka, Suita, Osaka, 565-87 Japan
More informationAn Introductory Course in Computational Neuroscience
An Introductory Course in Computational Neuroscience Contents Series Foreword Acknowledgments Preface 1 Preliminary Material 1.1. Introduction 1.1.1 The Cell, the Circuit, and the Brain 1.1.2 Physics of
More information(Entropic) Stochastic Resonance in Biological Systems at Mesoscale
(Entropic) Stochastic Resonance in Biological Systems at Mesoscale Wokyung Sung Department of Physics, POSTECH, IBS center for Self-assembly and Complexity, Pohang, 790-784, South Korea As interconnected,
More informationarxiv:cond-mat/ v1 [cond-mat.stat-mech] 5 Oct 2005
Moment Equations for a Spatially Extended System of Two Competing Species arxiv:cond-mat/0510104v1 [cond-mat.stat-mech] 5 Oct 2005 D. Valenti a, L. Schimansky-Geier b, X. Sailer b, and B. Spagnolo a a
More informationStochastic resonance driven by time-modulated correlated white noise sources
PHYSICAL REVIEW E VOLUME 6, NUMBER 4 OCTOBER 000 Stochastic resonance driven by time-modulated correlated white noise sources Claudio J. Tessone, 1, * Horacio S. Wio, 1, and Peter Hänggi, 1 Grupo de Física
More informationOn The Exact Solution of Newell-Whitehead-Segel Equation Using the Homotopy Perturbation Method
On The Exact Solution of Newell-Whitehead-Segel Equation Using the Homotopy Perturbation Method S. Salman Nourazar, Mohsen Soori, Akbar Nazari-Golshan To cite this version: S. Salman Nourazar, Mohsen Soori,
More informationQ. 1 Q. 25 carry one mark each.
GATE 5 SET- ELECTRONICS AND COMMUNICATION ENGINEERING - EC Q. Q. 5 carry one mark each. Q. The bilateral Laplace transform of a function is if a t b f() t = otherwise (A) a b s (B) s e ( a b) s (C) e as
More informationPulsed Lasers Revised: 2/12/14 15: , Henry Zmuda Set 5a Pulsed Lasers
Pulsed Lasers Revised: 2/12/14 15:27 2014, Henry Zmuda Set 5a Pulsed Lasers 1 Laser Dynamics Puled Lasers More efficient pulsing schemes are based on turning the laser itself on and off by means of an
More informationElectronic Implementation of the Mackey-Glass Delayed Model
TRANSACTIONS ON CIRCUITS AND SYSTEMS I, VOL. X, NO. Y, Electronic Implementation of the Mackey-Glass Delayed Model Pablo Amil, Cecilia Cabeza, Arturo C. Martí arxiv:.v [nlin.cd] Aug Abstract The celebrated
More informationEE4512 Analog and Digital Communications Chapter 4. Chapter 4 Receiver Design
Chapter 4 Receiver Design Chapter 4 Receiver Design Probability of Bit Error Pages 124-149 149 Probability of Bit Error The low pass filtered and sampled PAM signal results in an expression for the probability
More informationPHYSICAL REVIEW LETTERS
PHYSICAL REVIEW LETTERS VOLUME 80 1 JUNE 1998 NUMBER 22 Field-Induced Stabilization of Activation Processes N. G. Stocks* and R. Mannella Dipartimento di Fisica, Università di Pisa, and Istituto Nazionale
More informationarxiv: v1 [physics.flu-dyn] 14 Jun 2014
Observation of the Inverse Energy Cascade in the modified Korteweg de Vries Equation D. Dutykh and E. Tobisch LAMA, UMR 5127 CNRS, Université de Savoie, Campus Scientifique, 73376 Le Bourget-du-Lac Cedex,
More informationCHAPTER 14 SIGNAL GENERATORS AND WAVEFORM SHAPING CIRCUITS
CHAPTER 4 SIGNA GENERATORS AND WAEFORM SHAPING CIRCUITS Chapter Outline 4. Basic Principles of Sinusoidal Oscillators 4. Op Amp RC Oscillators 4.3 C and Crystal Oscillators 4.4 Bistable Multivibrators
More informationActivity Driven Adaptive Stochastic. Resonance. Gregor Wenning and Klaus Obermayer. Technical University of Berlin.
Activity Driven Adaptive Stochastic Resonance Gregor Wenning and Klaus Obermayer Department of Electrical Engineering and Computer Science Technical University of Berlin Franklinstr. 8/9, 187 Berlin fgrewe,obyg@cs.tu-berlin.de
More informationLocalization and electron-phonon interactions in disordered systems
EUROPHYSICS LETTERS 20 February 1996 Europhys. Lett., 33 (6), pp. 459-464 (1996) Localization and electron-phonon interactions in disordered systems G. Kopidakis 1, C. M. Soukoulis 1 and E. N. Economou
More informationNoise-assisted spike propagation in myelinated neurons
PHYSICAL REVIEW E 7, Noise-assisted spike propagation in myelinated neurons Anna Ochab-Marcinek,, Gerhard Schmid, Igor Goychuk, and Peter Hänggi Institut für Physik, Universität Augsburg, Universitätsstra
More information