CHUA'S CIRCUIT: A Paradigm for CHAOS. edited by. Rabinder IM. Madan Office of Naval Research Electronics Division Arlington, USA
|
|
|
- Charlene Gordon
- 5 years ago
- Views:
Transcription
1 & WORLD SCIENTIFIC SERIES ON p «_, _... NONLINEAR SCIENCC % senes B vol. 1 Series Editor: Leon O. Chua CHUA'S CIRCUIT: A Paradigm for CHAOS edited by Rabinder IM. Madan Office of Naval Research Electronics Division Arlington, USA ll * World Scientific wl Singapore New Jersey London Hong Kong
2 CONTENTS Preface v Gallery of Attractors from Chua's Oscillator xv 1. PROLOGUE Strange attractors and dynarnical modeis 3 L. P. Shil'nikov A CMOS monolithic Chua's circuit 13 M. Delgado-Resiituio and A. Rodriguez-Vdzquez Dynamics of the Lorenz equation and Chua's equation: A tutorial 25 Lj. Kocarev and T. Roska 2. BIFURCATION PHENOMENA Introduction to experimental chaos using Chua's circuit 59 R. N. Madan and C. W. Wu The theory of confinors in Chua's circuit: Accurate analysis of bifurcations and attractors 90 R. Lozi and S. Ushiki Experimental Observation of antimonotonicity in Chua's circuit 137 Lj. Kocarev, K. S. Halle, K. Eckert, and L. O. Chua On periodic orbits and homoclinic bifurcations in Chua's circuit with a smooth nonlinearity 145 A. I. Khibnik, D. Roose, and L. 0. Chua Chua's oscillator: A zoo of attractors 179 P. Deregel Characterisation of chaos in Chua's oscillator in terms of unstable periodic orbits 230 M. J. Ogorzalek and Z. Galias Boundary surfaces and basin bifurcations in Chua's circuit 249 L. Pivka and V. Spdny 3. RESONANCE, SYNCHRONIZATION, AND WAVES Stochastic resonance in Chua's circuit 281 V. S. Anishchenko, M. A. Safonova, and L. 0. Chua ix
3 x Contents Signal amplification via chaos: Experimental evidence 290 K. S. Halle, L. O. Chua, V. S. Anishchenko, and M. A. Safonova Chaos synchronization in Chua's circuit 309 L. 0. Chua, M. Itoh, Lj. Kocarev, and K. Eckert On chaotic synchronization in a linear array of Chua's circuits 325 V. N. Belykh, N. N. Verichev, Lj. Kocarev, and L. 0. Chua Traveling wave front and its failure in a one-dimensional array of Chua's circuit 336 V. Perez-Munuzuri, V. Perez-Villar, and L. 0. Chua Spatial disorder and wave fronts in a chain of coupled Chua's circuits 351 V. I. Nekorkin and L. 0. Chua 4. APPLICATIONS OF CHUA'S CIRCUIT Experimental demonstration of secure Communications via chaotic synchronization 371 Lj. Kocarev, K. S. Halle, K. Eckert, L. 0. Chua, and U. Parlitz Spread spectrum communication through modulation of chaos in Chua's circuit 379 K. S. Halle, C. W. Wu, M. Höh, and L. O. Chua Transmission of digital signals by chaotic synchronization 395 U. Parlitz, L. O. Chua, Lj. Kocarev, K. S. Halle, and A. Shang Bifurcation analysis of Chua's circuit with applications for low-level visual sensing 404 E. J. Altman Sound and music from Chua's circuit 434 X. Rodet 5. CONTROLLING CHAOS Controlling chaos in Chua's circuit 449 G. A. Johnson, T. E. Tigner, and E. R. Hunt Maintaining stability in Chua's circuit driven into regions of oscillation and chaos 458 G. A. Johnson and E. R. Hunt Controlling of chaos in the driven Chua's circuit 463 K. Murali and M. Lakshmanan Targeting unstable stationary states of Chua's circuit 476 T. Kapitaniak
4 Contents xi Controlling Chua's circuit 481 G. Chen and X. Dong Control of Chua's circuit 492 T. T. Hartley and F. Mossayebi Distortion control of chaotic Systems: The Chua's circuit 514 R. Genesio and A. Tesi A unified method of control and synchronization of chaos 535 Lj. Kocarev, Ä. Shang, and L. O. Chua 6. ONE-DIMENSIONAL POINCARE MAPS FROM CHUA'S CIRCUIT Applications of 1-D map from Chua's circuit: A pictorial guide 545 M. Genot Experimental analysis of 1-D maps from Chua's circuit 580 N. F. Rul'kov and A. R. Volkovskii Two-parameter study of transition to chaos in Chua's circuit: Renormalization group, universality and scaling 591 A. P. Kuznetsov, S. P. Kuznetsov, I. R. Sataev, and L. 0. Chua Chua's circuit with a discontinuous nonlinearity 622 A. I. Mahla and A. G. Badan Palliares From the Chua circuit to the generalized Chua map 629 R. Brown Unimodal interval maps obtained from the modified Chua equations 651 M. Misiurewicz 7. STRANGE ATTRACTORS The double hook attractor in Chua's circuit: Some analytical results 671 C. P. Silva Chua's circuit as a slow-fast autonomous dynamical System 711 B. Rosseiio Global stability and instability of canonical Chua's circuits 725 G. A. Leonov, D. V. Ponomarenko, V. B. Smirnova, and L. 0. Chua A new type of stränge attractor related to the Chua's circuit 740 V. N. Belykh and L. 0. Chua Enigma of the double-scroll Chua's attractor 754 V. S. Afraimovich and L. 0. Chua
5 xii Contents 8. PIECEWISE-LINEAR ANALYSIS Digital signal processor-based investigation of Chua's circuit family 769 M. P. Kennedy, C. W. Wu, S. Pau, and J. Tow Piecewise-linear analysis for Chua's circuit family, including the computation of Lyapunov exponents 793 M. Biey, S. Chialina, M. Hasler, and A. Premoli Modelling and Simulation of Chua's circuit 805 E. Lindberg Maximum dynamic ränge of bifurcations of Chua's circuit 821 A. A. A. Nasser, E. E. Hosny, and M. I. Sobhy The effects of symmetry breaking in Chua's circuit and related piecewise-linear dynamical Systems 832 C. Kahlert Transformations of circuits belonging to Chua's circuit family into nonlinear feedback loops made of passive RC-filter and active memoryless nonlinearity 860 F. Böhme and W. Schwarz 9. TIME SERIES ANALYSIS Chaos-chaos intermittency and 1/f noise in Chua's circuit 879 V. S. Anishchenko, A. B. Neiman, and L. 0. Chua Bispectral analysis of Chua's circuit 892 S. Elgar and M. P. Kennedy Reconstructing the dynamics of Chua's circuit 908 J. Glover and A. Mees Lyapunov exponents from Chua's circuit 922 U. Parlitz 10. GENERALIZATIONS OF CHUA'S CIRCUITc An autonomous chaotic cellular neural network and Chua's circuit 941 F. Zou and J. A. Nossek Chaotic cellular neural networks made of Chua's circuits 952 C. Güzelis Dynamics of Chua's circuit in a Banach space 962 C. M. Bläzquez and E. Tuma High-frequency oscillations from Chua's circuit 976 K. A. Lukin
6 Contents xiii Cycles of chaotic intervals in a time-delayed Chua's circuit 993 Yu. L. Maisirenko, V. L. Maisirenko, and L. 0. Chua Dry turbulence from a time-delayed Chua's circuit 1018 A. N. Sharkovsky, Yu. Maisirenko, P. Deregel, and L. O. Chua Adventures in Bifurcations and Chaos 1042
PROCEEDINGS WORKSHOPS
1993 International Symposium on Nonlinear Theory and its Applications Sheraton Waikiki Hotel, HAWAII December 5-10, 1993 PROCEEDINGS WORKSHOPS # WIG QUALITY mspected 8 Organizers: Research Society of Nonlinear
Majid Sodagar, 1 Patrick Chang, 1 Edward Coyler, 1 and John Parke 1 School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
Experimental Characterization of Chua s Circuit Majid Sodagar, 1 Patrick Chang, 1 Edward Coyler, 1 and John Parke 1 School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA (Dated:
Antimonotonicity in Chua s Canonical Circuit with a Smooth Nonlinearity
Antimonotonicity in Chua s Canonical Circuit with a Smooth Nonlinearity IOANNIS Μ. KYPRIANIDIS & MARIA Ε. FOTIADOU Physics Department Aristotle University of Thessaloniki Thessaloniki, 54124 GREECE Abstract:
Chua circuit - Scholarpedia
Page 1 of 11 Chua circuit From Scholarpedia Leon O. Chua (2007), Scholarpedia, 2(10):1488. revision #37294 [link to/cite this article] Curator: Dr. Leon O. Chua, Dept. of EECS, University of California,
Copyright 1993, by the author(s). All rights reserved.
Copyright 1993, by the author(s). All rights reserved. Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are
SYNCHRONIZING CHAOTIC ATTRACTORS OF CHUA S CANONICAL CIRCUIT. THE CASE OF UNCERTAINTY IN CHAOS SYNCHRONIZATION
International Journal of Bifurcation and Chaos, Vol. 16, No. 7 (2006) 1961 1976 c World Scientific Publishing Company SYNCHRONIZING CHAOTIC ATTRACTORS OF CHUA S CANONICAL CIRCUIT. THE CASE OF UNCERTAINTY
Impulsive Stabilization for Control and Synchronization of Chaotic Systems: Theory and Application to Secure Communication
976 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I: FUNDAMENTAL THEORY AND APPLICATIONS, VOL. 44, NO. 10, OCTOBER 1997 Impulsive Stabilization for Control and Synchronization of Chaotic Systems: Theory and
Dynamical Systems with Applications using Mathematica
Stephen Lynch Dynamical Systems with Applications using Mathematica Birkhäuser Boston Basel Berlin Contents Preface xi 0 A Tutorial Introduction to Mathematica 1 0.1 A Quick Tour of Mathematica 2 0.2 Tutorial
Dynamical Systems with Applications
Stephen Lynch Dynamical Systems with Applications using MATLAB Birkhauser Boston Basel Berlin Preface xi 0 A Tutorial Introduction to MATLAB and the Symbolic Math Toolbox 1 0.1 Tutorial One: The Basics
Dynamics of Two Resistively Coupled Electric Circuits of 4 th Order
Proceedings of the 0th WSEAS International onference on IRUITS, Vouliagmeni, Athens, Greece, July 0-, 006 (pp9-96) Dynamics of Two Resistively oupled Electric ircuits of 4 th Order M. S. PAPADOPOULOU,
SYNCHRONIZATION OF HYPERCHAOTIC CIRCUITS VIA CONTINUOUS FEEDBACK CONTROL WITH APPLICATION TO SECURE COMMUNICATIONS
International Journal of Bifurcation and Chaos, Vol. 8, No. 10 (1998) 2031 2040 c World Scientific Publishing Company SYNCHRONIZATION OF HYPERCHAOTIC CIRCUITS VIA CONTINUOUS FEEDBACK CONTROL WITH APPLICATION
vii Contents 7.5 Mathematica Commands in Text Format 7.6 Exercises
Preface 0. A Tutorial Introduction to Mathematica 0.1 A Quick Tour of Mathematica 0.2 Tutorial 1: The Basics (One Hour) 0.3 Tutorial 2: Plots and Differential Equations (One Hour) 0.4 Mathematica Programs
DIFFERENTIAL EQUATIONS, DYNAMICAL SYSTEMS, AND AN INTRODUCTION TO CHAOS
DIFFERENTIAL EQUATIONS, DYNAMICAL SYSTEMS, AND AN INTRODUCTION TO CHAOS Morris W. Hirsch University of California, Berkeley Stephen Smale University of California, Berkeley Robert L. Devaney Boston University
Synchronization-based parameter estimation from time series
PHYSICAL REVIEW E VOLUME 54, NUMBER 6 DECEMBER 1996 Synchronization-based parameter estimation from time series U. Parlitz and L. Junge Drittes Physikalisches Institut, Universität Göttingen, Bürgerstra
Contents Dynamical Systems Stability of Dynamical Systems: Linear Approach
Contents 1 Dynamical Systems... 1 1.1 Introduction... 1 1.2 DynamicalSystems andmathematical Models... 1 1.3 Kinematic Interpretation of a System of Differential Equations... 3 1.4 Definition of a Dynamical
Homoclinic bifurcations in Chua s circuit
Physica A 262 (1999) 144 152 Homoclinic bifurcations in Chua s circuit Sandra Kahan, Anibal C. Sicardi-Schino Instituto de Fsica, Universidad de la Republica, C.C. 30, C.P. 11 000, Montevideo, Uruguay
A New Circuit for Generating Chaos and Complexity: Analysis of the Beats Phenomenon
A New Circuit for Generating Chaos and Complexity: Analysis of the Beats Phenomenon DONATO CAFAGNA, GIUSEPPE GRASSI Diparnto Ingegneria Innovazione Università di Lecce via Monteroni, 73 Lecce ITALY Abstract:
Chua s Circuit: The Paradigm for Generating Chaotic Attractors
Chua s Circuit: The Paradigm for Generating Chaotic Attractors EE129 Fall 2007 Bharathwaj Muthuswamy NOEL: Nonlinear Electronics Lab 151M Cory Hall Department of EECS University of California, Berkeley
APPLIED SYMBOLIC DYNAMICS AND CHAOS
DIRECTIONS IN CHAOS VOL. 7 APPLIED SYMBOLIC DYNAMICS AND CHAOS Bai-Lin Hao Wei-Mou Zheng The Institute of Theoretical Physics Academia Sinica, China Vfö World Scientific wl Singapore Sinaaoore NewJersev
New communication schemes based on adaptive synchronization
CHAOS 17, 0114 2007 New communication schemes based on adaptive synchronization Wenwu Yu a Department of Mathematics, Southeast University, Nanjing 210096, China, Department of Electrical Engineering,
A New Dynamic Phenomenon in Nonlinear Circuits: State-Space Analysis of Chaotic Beats
A New Dynamic Phenomenon in Nonlinear Circuits: State-Space Analysis of Chaotic Beats DONATO CAFAGNA, GIUSEPPE GRASSI Diparnto Ingegneria Innovazione Università di Lecce via Monteroni, 73 Lecce ITALY giuseppe.grassi}@unile.it
On the Dynamics of a n-d Piecewise Linear Map
EJTP 4, No. 14 2007 1 8 Electronic Journal of Theoretical Physics On the Dynamics of a n-d Piecewise Linear Map Zeraoulia Elhadj Department of Mathematics, University of Tébéssa, 12000, Algeria. Received
CONTROLLING CHAOTIC DYNAMICS USING BACKSTEPPING DESIGN WITH APPLICATION TO THE LORENZ SYSTEM AND CHUA S CIRCUIT
Letters International Journal of Bifurcation and Chaos, Vol. 9, No. 7 (1999) 1425 1434 c World Scientific Publishing Company CONTROLLING CHAOTIC DYNAMICS USING BACKSTEPPING DESIGN WITH APPLICATION TO THE
Max-Planck-Institut fur Mathematik in den Naturwissenschaften Leipzig Synchronized chaos and other coherent states for two coupled neurons by Frank Pasemann Preprint-Nr.: 44 1998 Synchronized Chaos and
Experimental Realization of Binary Signals Transmission Based on Synchronized Lorenz circuits
Experimental Realization of Binary Signals Transmission Based on Synchronized Lorenz circuits Cornelio PosadasCastillo. Faculty of Engineering Mechanic and Electrical (F.I.M.E.), Nuevo León Autonomous
Synchronization and control in small networks of chaotic electronic circuits
Synchronization and control in small networks of chaotic electronic circuits A. Iglesias Dept. of Applied Mathematics and Computational Sciences, Universi~ of Cantabria, Spain Abstract In this paper, a
A SYSTEMATIC PROCEDURE FOR SYNCHRONIZING HYPERCHAOS VIA OBSERVER DESIGN
Journal of Circuits, Systems, and Computers, Vol. 11, No. 1 (22) 1 16 c World Scientific Publishing Company A SYSTEMATIC PROCEDURE FOR SYNCHRONIZING HYPERCHAOS VIA OBSERVER DESIGN GIUSEPPE GRASSI Dipartimento
Chaotic Vibrations. An Introduction for Applied Scientists and Engineers
Chaotic Vibrations An Introduction for Applied Scientists and Engineers FRANCIS C. MOON Theoretical and Applied Mechanics Cornell University Ithaca, New York A WILEY-INTERSCIENCE PUBLICATION JOHN WILEY
DIFFERENTIAL EQUATIONS, DYNAMICAL SYSTEMS, AND AN INTRODUCTION TO CHAOS
DIFFERENTIAL EQUATIONS, DYNAMICAL SYSTEMS, AND AN INTRODUCTION TO CHAOS Morris W. Hirsch University of California, Berkeley Stephen Smale University of California, Berkeley Robert L. Devaney Boston University
Experimental 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
CONTROL SYSTEMS, ROBOTICS AND AUTOMATION CONTENTS VOLUME XIII
CONTENTS VOLUME XIII Nonlinear Output Regulation 1 Alberto Isidori, Dipartimento di Informatica e Sistemistica, Università di Roma La Sapienza" and Department of Systems Science and Mathematics, Washington
A SYSTEMATIC APPROACH TO GENERATING n-scroll ATTRACTORS
International Journal of Bifurcation and Chaos, Vol. 12, No. 12 (22) 297 2915 c World Scientific Publishing Company A SYSTEMATIC APPROACH TO ENERATIN n-scroll ATTRACTORS UO-QUN ZHON, KIM-FUN MAN and UANRON
Simple approach to the creation of a strange nonchaotic attractor in any chaotic system
PHYSICAL REVIEW E VOLUME 59, NUMBER 5 MAY 1999 Simple approach to the creation of a strange nonchaotic attractor in any chaotic system J. W. Shuai 1, * and K. W. Wong 2, 1 Department of Biomedical Engineering,
Chaotic Synchronization in Small Assemblies of Driven Chua s Circuits
644 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I: FUNDAMENTAL THEORY AND APPLICATIONS, VOL. 47, NO. 5, MAY 2000 Chaotic Synchronization in Small Assemblies of Driven Chua s Circuits Esteban Sánchez, Manuel
A simple electronic circuit to demonstrate bifurcation and chaos
A simple electronic circuit to demonstrate bifurcation and chaos P R Hobson and A N Lansbury Brunel University, Middlesex Chaos has generated much interest recently, and many of the important features
SIMPLEST ODE EQUIVALENTS OF CHUA S EQUATIONS
Tutorials and Reviews International Journal of Bifurcation and Chaos, Vol. 10, No. 1 (2000) 1 23 c World Scientific Publishing Company SIMPLEST ODE EQUIVALENTS OF CHUA S EQUATIONS JIŘÍ POSPÍŠIL, ZDENĚK
MODELING BY NONLINEAR DIFFERENTIAL EQUATIONS
MODELING BY NONLINEAR DIFFERENTIAL EQUATIONS Dissipative and Conservative Processes WORLD SCIENTIFIC SERIES ON NONLINEAR SCIENCE Editor: Leon O. Chua University of California, Berkeley Series A. Volume
Experimental Characterization of Nonlinear Dynamics from Chua s Circuit
Experimental Characterization of Nonlinear Dynamics from Chua s Circuit John Parker*, 1 Majid Sodagar, 1 Patrick Chang, 1 and Edward Coyle 1 School of Physics, Georgia Institute of Technology, Atlanta,
AN ELECTRIC circuit containing a switch controlled by
878 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II: ANALOG AND DIGITAL SIGNAL PROCESSING, VOL. 46, NO. 7, JULY 1999 Bifurcation of Switched Nonlinear Dynamical Systems Takuji Kousaka, Member, IEEE, Tetsushi
Chaos in Modified CFOA-Based Inductorless Sinusoidal Oscillators Using a Diode
Chaotic Modeling and Simulation CMSIM) 1: 179-185, 2013 Chaos in Modified CFOA-Based Inductorless Sinusoidal Oscillators Using a iode Buncha Munmuangsaen and Banlue Srisuchinwong Sirindhorn International
I NONLINEAR EWORKBOOK
I NONLINEAR EWORKBOOK Chaos, Fractals, Cellular Automata, Neural Networks, Genetic Algorithms, Gene Expression Programming, Wavelets, Fuzzy Logic with C++, Java and SymbolicC++ Programs Willi-Hans Steeb
K. 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
Dynamical Behavior And Synchronization Of Chaotic Chemical Reactors Model
Iranian Journal of Mathematical Chemistry, Vol. 6, No. 1, March 2015, pp. 81 92 IJMC Dynamical Behavior And Synchronization Of Chaotic Chemical Reactors Model HOSSEIN KHEIRI 1 AND BASHIR NADERI 2 1 Faculty
ADAPTIVE SYNCHRONIZATION FOR RÖSSLER AND CHUA S CIRCUIT SYSTEMS
Letters International Journal of Bifurcation and Chaos, Vol. 12, No. 7 (2002) 1579 1597 c World Scientific Publishing Company ADAPTIVE SYNCHRONIZATION FOR RÖSSLER AND CHUA S CIRCUIT SYSTEMS A. S. HEGAZI,H.N.AGIZA
DESYNCHRONIZATION TRANSITIONS IN RINGS OF COUPLED CHAOTIC OSCILLATORS
Letters International Journal of Bifurcation and Chaos, Vol. 8, No. 8 (1998) 1733 1738 c World Scientific Publishing Company DESYNCHRONIZATION TRANSITIONS IN RINGS OF COUPLED CHAOTIC OSCILLATORS I. P.
STUDY 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
PULSES, FRONTS AND CHAOTIC WAVE TRAINS IN A ONE-DIMENSIONAL CHUA S LATTICE
Papers International Journal of Bifurcation and Chaos, Vol. 7, No. 8 (1997) 1775 1790 c World Scientific Publishing Company PULSES, FRONTS AND CHAOTIC WAVE TRAINS IN A ONE-DIMENSIONAL CHUA S LATTICE V.
The projects listed on the following pages are suitable for MSc/MSci or PhD students. An MSc/MSci project normally requires a review of the
The projects listed on the following pages are suitable for MSc/MSci or PhD students. An MSc/MSci project normally requires a review of the literature and finding recent related results in the existing
A New Chaotic Behavior from Lorenz and Rossler Systems and Its Electronic Circuit Implementation
Circuits and Systems,,, -5 doi:.46/cs..5 Published Online April (http://www.scirp.org/journal/cs) A New Chaotic Behavior from Lorenz and Rossler Systems and Its Electronic Circuit Implementation Abstract
CONTROLLING IN BETWEEN THE LORENZ AND THE CHEN SYSTEMS
International Journal of Bifurcation and Chaos, Vol. 12, No. 6 (22) 1417 1422 c World Scientific Publishing Company CONTROLLING IN BETWEEN THE LORENZ AND THE CHEN SYSTEMS JINHU LÜ Institute of Systems
Experimental mastering of nonlinear dynamics in circuits by sporadic pulses
Available online at www.sciencedirect.com Chaos, Solitons and Fractals 36 (2008) 635 645 www.elsevier.com/locate/chaos Experimental mastering of nonlinear dynamics in circuits by sporadic pulses P. Ruiz
USING DYNAMIC NEURAL NETWORKS TO GENERATE CHAOS: AN INVERSE OPTIMAL CONTROL APPROACH
International Journal of Bifurcation and Chaos, Vol. 11, No. 3 (2001) 857 863 c World Scientific Publishing Company USING DYNAMIC NEURAL NETWORKS TO GENERATE CHAOS: AN INVERSE OPTIMAL CONTROL APPROACH
Observers based synchronization and input recovery for a class of nonlinear chaotic models.
Observers based synchronization and input recovery for a class of nonlinear chaotic models. Estelle Cherrier,, Mohamed Boutayeb, and José Ragot CRAN UMR CNRS 739 INPL 2 Avenue de la Forêt de Haye F-54516
Chaotifying 2-D piecewise linear maps via a piecewise linear controller function
Chaotifying 2-D piecewise linear maps via a piecewise linear controller function Zeraoulia Elhadj 1,J.C.Sprott 2 1 Department of Mathematics, University of Tébéssa, (12000), Algeria. E-mail: zeraoulia@mail.univ-tebessa.dz
CELLULAR neural networks (CNNs) [1] are especially
![CELLULAR neural networks (CNNs) [1] are especially](/thumbs/75/71808953.jpg "CELLULAR neural networks (CNNs) [1] are especially")
440 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II: EXPRESS BRIEFS, VOL. 54, NO. 5, MAY 2007 Cellular Neural Networks With Transient Chaos Lipo Wang, Senior Member, IEEE, Wen Liu, Student Member, IEEE, Haixiang
CHUA S CIRCUIT AND THE QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
Tutorials and Reviews International Journal of Bifurcation and Chaos, Vol. 7, No. 9 (1997) 1911 1916 Visions of Nonlinear Science: Festschrift dedicated to Leon O. Chua c World Scientific Publishing Company
Characteristics and synchronization of time-delay systems driven by a common noise
Eur. Phys. J. Special Topics 87, 87 93 (2) c EDP Sciences, Springer-Verlag 2 DOI:.4/epjst/e2-273-4 THE EUROPEAN PHYSICAL JOURNAL SPECIAL TOPICS Regular Article Characteristics and synchronization of time-delay
ADAPTIVE CONTROL AND SYNCHRONIZATION OF A GENERALIZED LOTKA-VOLTERRA SYSTEM
ADAPTIVE CONTROL AND SYNCHRONIZATION OF A GENERALIZED LOTKA-VOLTERRA SYSTEM Sundarapandian Vaidyanathan 1 1 Research and Development Centre, Vel Tech Dr. RR & Dr. SR Technical University Avadi, Chennai-600
CONTROLLING HYPER CHAOS WITH FEEDBACK OF DYNAMICAL VARIABLES
International Journal of Modern Physics B Vol. 17, Nos. 22, 23 & 24 (2003) 4272 4277 c World Scientific Publishing Company CONTROLLING HYPER CHAOS WITH FEEDBACK OF DYNAMICAL VARIABLES XIAO-SHU LUO Department
SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM
International Journal of Bifurcation and Chaos, Vol. 23, No. 11 (2013) 1350188 (7 pages) c World Scientific Publishing Company DOI: 10.1142/S0218127413501885 SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM
Electronic Circuit Simulation of the Lorenz Model With General Circulation
International Journal of Physics, 2014, Vol. 2, No. 5, 124-128 Available online at http://pubs.sciepub.com/ijp/2/5/1 Science and Education Publishing DOI:10.12691/ijp-2-5-1 Electronic Circuit Simulation
Encrypter Information Software Using Chaotic Generators
Vol:, No:6, 009 Encrypter Information Software Using Chaotic Generators Cardoza-Avendaño L., López-Gutiérrez R.M., Inzunza-González E., Cruz-Hernández C., García-Guerrero E., Spirin V., and Serrano H.
GLOBAL CHAOS SYNCHRONIZATION OF UNCERTAIN SPROTT J AND K SYSTEMS BY ADAPTIVE CONTROL
GLOBAL CHAOS SYNCHRONIZATION OF UNCERTAIN SPROTT J AND K SYSTEMS BY ADAPTIVE CONTROL Sundarapandian Vaidyanathan 1 1 Research and Development Centre, Vel Tech Dr. RR & Dr. SR Technical University Avadi,
COMPLEX DYNAMICS AND CHAOS CONTROL IN DUFFING-VAN DER POL EQUATION WITH TWO EXTERNAL PERIODIC FORCING TERMS
International J. of Math. Sci. & Engg. Appls. (IJMSEA) ISSN 0973-9424, Vol. 9 No. III (September, 2015), pp. 197-210 COMPLEX DYNAMICS AND CHAOS CONTROL IN DUFFING-VAN DER POL EQUATION WITH TWO EXTERNAL
HIGHER-ORDER SPECTRA OF NONLINEAR POLYNOMIAL MODELS FOR CHUA S CIRCUIT
Letters International Journal of Bifurcation and Chaos, Vol. 8, No. 12 (1998) 2425 2431 c World Scientific Publishing Company HIGHER-ORDER SPECTRA OF NONLINEAR POLYNOMIAL MODELS FOR CHUA S CIRCUIT STEVE
ADAPTIVE CHAOS SYNCHRONIZATION OF UNCERTAIN HYPERCHAOTIC LORENZ AND HYPERCHAOTIC LÜ SYSTEMS
ADAPTIVE CHAOS SYNCHRONIZATION OF UNCERTAIN HYPERCHAOTIC LORENZ AND HYPERCHAOTIC LÜ SYSTEMS Sundarapandian Vaidyanathan 1 1 Research and Development Centre, Vel Tech Dr. RR & Dr. SR Technical University
Time-delay feedback control in a delayed dynamical chaos system and its applications
Time-delay feedback control in a delayed dynamical chaos system and its applications Ye Zhi-Yong( ), Yang Guang( ), and Deng Cun-Bing( ) School of Mathematics and Physics, Chongqing University of Technology,
A Non-symmetric Digital Image Secure Communication Scheme Based on Generalized Chaos Synchronization System
Commun. Theor. Phys. (Beijing China) 44 (2005) pp. 1115 1124 c International Academic Publishers Vol. 44 No. 6 December 15 2005 A Non-symmetric Digital Image Secure Communication Scheme Based on Generalized
Function Projective Synchronization of Discrete-Time Chaotic and Hyperchaotic Systems Using Backstepping Method
Commun. Theor. Phys. (Beijing, China) 50 (2008) pp. 111 116 c Chinese Physical Society Vol. 50, No. 1, July 15, 2008 Function Projective Synchronization of Discrete-Time Chaotic and Hyperchaotic Systems
Phase Synchronization of Coupled Rossler Oscillators: Amplitude Effect
Commun. Theor. Phys. (Beijing, China) 47 (2007) pp. 265 269 c International Academic Publishers Vol. 47, No. 2, February 15, 2007 Phase Synchronization of Coupled Rossler Oscillators: Amplitude Effect
Finite-time hybrid synchronization of time-delay hyperchaotic Lorenz system
ISSN 1746-7659 England UK Journal of Information and Computing Science Vol. 10 No. 4 2015 pp. 265-270 Finite-time hybrid synchronization of time-delay hyperchaotic Lorenz system Haijuan Chen 1 * Rui Chen
Accelerator Physics. Tip World Scientific NEW JERSEY LONDON SINGAPORE BEIJING SHANGHAI HONG KONG TAIPEI BANGALORE. Second Edition. S. Y.
Accelerator Physics Second Edition S. Y. Lee Department of Physics, Indiana University Tip World Scientific NEW JERSEY LONDON SINGAPORE BEIJING SHANGHAI HONG KONG TAIPEI BANGALORE Contents Preface Preface
IN THE LAST few years, a great deal of interest has been
486 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I: FUNDAMENTAL THEORY AND APPLICATIONS, VOL. 44, NO. 6, JUNE 1997 Qualitative Analysis of the Dynamics of the Time-Delayed Chua s Circuit Mario Biey, Fabrizio
Multi-Scroll Chaotic Attractors in SC-CNN via Hyperbolic Tangent Function
electronics Article Multi-Scroll Chaotic Attractors in SC-CNN via Hyperbolic Tangent Function Enis Günay, * and Kenan Altun ID Department of Electrical and Electronics Engineering, Erciyes University,
Genesis and Catastrophe of the Chaotic Double-Bell Attractor
Proceedings of the 7th WSEAS International Conference on Systems Theory and Scientific Computation, Athens, Greece, August 24-26, 2007 39 Genesis and Catastrophe of the Chaotic Double-Bell Attractor I.N.
Research Article. The Study of a Nonlinear Duffing Type Oscillator Driven by Two Voltage Sources
Jestr Special Issue on Recent Advances in Nonlinear Circuits: Theory and Applications Research Article JOURNAL OF Engineering Science and Technology Review www.jestr.org The Study of a Nonlinear Duffing
A Novel Three Dimension Autonomous Chaotic System with a Quadratic Exponential Nonlinear Term
ETASR - Engineering, Technology & Applied Science Research Vol., o.,, 9-5 9 A Novel Three Dimension Autonomous Chaotic System with a Quadratic Exponential Nonlinear Term Fei Yu College of Information Science
HYBRID CHAOS SYNCHRONIZATION OF HYPERCHAOTIC LIU AND HYPERCHAOTIC CHEN SYSTEMS BY ACTIVE NONLINEAR CONTROL
HYBRID CHAOS SYNCHRONIZATION OF HYPERCHAOTIC LIU AND HYPERCHAOTIC CHEN SYSTEMS BY ACTIVE NONLINEAR CONTROL Sundarapandian Vaidyanathan 1 1 Research and Development Centre, Vel Tech Dr. RR & Dr. SR Technical
GLOBAL CHAOS SYNCHRONIZATION OF HYPERCHAOTIC QI AND HYPERCHAOTIC JHA SYSTEMS BY ACTIVE NONLINEAR CONTROL
GLOBAL CHAOS SYNCHRONIZATION OF HYPERCHAOTIC QI AND HYPERCHAOTIC JHA SYSTEMS BY ACTIVE NONLINEAR CONTROL Sundarapandian Vaidyanathan 1 1 Research and Development Centre, Vel Tech Dr. RR & Dr. SR Technical
698 Zou Yan-Li et al Vol. 14 and L 2, respectively, V 0 is the forward voltage drop across the diode, and H(u) is the Heaviside function 8 < 0 u < 0;
Vol 14 No 4, April 2005 cfl 2005 Chin. Phys. Soc. 1009-1963/2005/14(04)/0697-06 Chinese Physics and IOP Publishing Ltd Chaotic coupling synchronization of hyperchaotic oscillators * Zou Yan-Li( ΠΛ) a)y,
Applications of Symbolic Dynamics in Chaos Synchronization
1014 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I: FUNDAMENTAL THEORY AND APPLICATIONS, VOL. 44, NO. 10, OCTOBER 1997 [5] T. Kapitaniak, M. Sekieta, and M. Ogorzalek, Monotone synchronization of chaos,
3. Controlling the time delay hyper chaotic Lorenz system via back stepping control
ISSN 1746-7659, England, UK Journal of Information and Computing Science Vol 10, No 2, 2015, pp 148-153 Chaos control of hyper chaotic delay Lorenz system via back stepping method Hanping Chen 1 Xuerong
A New Hyperchaotic Attractor with Complex Patterns
A New Hyperchaotic Attractor with Complex Patterns Safieddine Bouali University of Tunis, Management Institute, Department of Quantitative Methods & Economics, 41, rue de la Liberté, 2000, Le Bardo, Tunisia
The Smallest Transistor-Based Nonautonomous Chaotic Circuit
Downloaded from orbit.dtu.dk on: Jul 14, 2018 The Smallest Transistor-Based Nonautonomous Chaotic Circuit Lindberg, Erik; Murali, K.; Tamasevicius, Arunas ublished in: I E E E Transactions on Circuits
Self-Control of Chaotic Dynamics using LTI Filters
1 arxiv:chao-dyn/9713v1 8 Oct 1997 Self-Control of Chaotic Dynamics using LTI Filters Pabitra Mitra Author is with the Institute for Robotics and Intelligent Systems, Bangalore, India. EMail: pabitra@cair.res.in
Research Article Adaptive Control of Chaos in Chua s Circuit
Mathematical Problems in Engineering Volume 2011, Article ID 620946, 14 pages doi:10.1155/2011/620946 Research Article Adaptive Control of Chaos in Chua s Circuit Weiping Guo and Diantong Liu Institute
ADAPTIVE STABILIZATION AND SYNCHRONIZATION OF HYPERCHAOTIC QI SYSTEM
ADAPTIVE STABILIZATION AND SYNCHRONIZATION OF HYPERCHAOTIC QI SYSTEM Sundarapandian Vaidyanathan 1 1 Research and Development Centre, Vel Tech Dr. RR Dr. SR Technical University Avadi, Chennai-600 062,
Introduction to Applied Nonlinear Dynamical Systems and Chaos
Stephen Wiggins Introduction to Applied Nonlinear Dynamical Systems and Chaos Second Edition With 250 Figures 4jj Springer I Series Preface v L I Preface to the Second Edition vii Introduction 1 1 Equilibrium
RICH 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
FROM EQUILIBRIUM TO CHAOS
FROM EQUILIBRIUM TO CHAOS Practica! Bifurcation and Stability Analysis RÜDIGER SEYDEL Institut für Angewandte Mathematik und Statistik University of Würzburg Würzburg, Federal Republic of Germany ELSEVIER
A Novel Hyperchaotic System and Its Control
1371371371371378 Journal of Uncertain Systems Vol.3, No., pp.137-144, 009 Online at: www.jus.org.uk A Novel Hyperchaotic System and Its Control Jiang Xu, Gouliang Cai, Song Zheng School of Mathematics
Study on Proportional Synchronization of Hyperchaotic Circuit System
Commun. Theor. Phys. (Beijing, China) 43 (25) pp. 671 676 c International Academic Publishers Vol. 43, No. 4, April 15, 25 Study on Proportional Synchronization of Hyperchaotic Circuit System JIANG De-Ping,
ADAPTIVE CONTROL AND SYNCHRONIZATION OF HYPERCHAOTIC NEWTON-LEIPNIK SYSTEM
ADAPTIVE CONTROL AND SYNCHRONIZATION OF HYPERCHAOTIC NEWTON-LEIPNIK SYSTEM Sundarapandian Vaidyanathan 1 1 Research and Development Centre, Vel Tech Dr. RR & Dr. SR Technical University Avadi, Chennai-600
Irregular Attractors
Discrete Dynamics in Nature and Society, Vol. 2, pp. 53-72 Reprints available directly from the publisher Photocopying permitted by license only (C) 1998 OPA (Overseas Publishers Association) N.V. Published
Introducing chaotic circuits in an undergraduate electronic course. Abstract. Introduction
Introducing chaotic circuits in an undergraduate electronic course Cherif Aissi 1 University of ouisiana at afayette, College of Engineering afayette, A 70504, USA Session II.A3 Abstract For decades, the
n:m phase synchronization with mutual coupling phase signals
CHAOS VOLUME 12, NUMBER 1 MARCH 2002 n:m phase synchronization with mutual coupling phase signals J. Y. Chen K. W. Wong Department of Computer Engineering Information Technology, City University of Hong
Multistability in symmetric chaotic systems
Eur. Phys. J. Special Topics 224, 1493 1506 (2015) EDP Sciences, Springer-Verlag 2015 DOI: 10.1140/epjst/e2015-02475-x THE EUROPEAN PHYSICAL JOURNAL SPECIAL TOPICS Regular Article Multistability in symmetric
On the Takens-Bogdanov Bifurcation in the Chua s Equation
1722 PAPER Special Section on Nonlinear Theory and Its Applications On the Takens-Bogdanov Bifurcation in the Chua s Equation Antonio ALGABA, Emilio FREIRE, Estanislao GAMERO, and Alejandro J. RODRÍGUEZ-LUIS,
Simple Chaotic Flows with a Curve of Equilibria
International Journal of Bifurcation and Chaos, Vol. 26, No. 12 (2016) 1630034 (6 pages) c World Scientific Publishing Company DOI: 10.1142/S0218127416300342 Simple Chaotic Flows with a Curve of Equilibria
Master-Slave Synchronization using. Dynamic Output Feedback. Kardinaal Mercierlaan 94, B-3001 Leuven (Heverlee), Belgium
Master-Slave Synchronization using Dynamic Output Feedback J.A.K. Suykens 1, P.F. Curran and L.O. Chua 1 Katholieke Universiteit Leuven, Dept. of Electr. Eng., ESAT-SISTA Kardinaal Mercierlaan 94, B-1