M. Brøns and R. Kaasen. Canards and mixed-mode oscillations in a forest pest model. Theoretical Population Biology, 77: , 2010.
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1 May 11, 2010 PUBLICATIONS BY MORTEN BRØNS Papers in refereed journals M. Brøns and R. Kaasen. Canards and mixed-mode oscillations in a forest pest model. Theoretical Population Biology, 77: , M. Brøns and A. V. Bisgaard. Topology of vortex creation in the cylinder wake. Theoretical and Computational Fluid Dynamics, 24: , A. Beltrán, E. Ramos, S. Cuevas, and M. Brøns. Bifurcation analysis in a vortex flow generated by an oscillatory magnetic obstacle. Physical Review E, 81:036309, D. Lo Jacono, M. Nazarinia, and M. Brøns. Experimental vortex breakdown topology in a cylinder with a free surface. Physics of Fluids, 11:111704, M. Brøns, M. C. Thompson, and K. Hourigan. Dye visualization near a 3D stagnation point: Application to the vortex breakdown bubble. Journal of Fluid Mechanics, 622: , D. Blackmore, M. Brøns, and A. Goullet. A coaxial vortex ring model for vortex breakdown. Physica D, 237: , M. Brøns, T. J. Kaper, and H. G. Rotstein. Introduction to focus issue: Mixed mode oscillations: Theory, computation and analysis. Chaos, 18(1):015191, M. Brøns, B. Jakobsen, K. Niss, A. V. Bisgaard, and L. K. Voigt. Streamline topology in the near-wake of a circular cylinder at moderate Reynolds numbers. Journal of Fluid Mechanics, 584:23 43, M. Brøns, W. Z. Shen, J. N. Sørensen, and W. J. Zhu. The influence of imperfections on the flow structure of steady vortex breakdown bubbles. Journal of Fluid Mechanics, 578: , M. Brøns. Streamline topology: Patterns in fluid flows and their bifurcations. Advances in Applied Mechanics, 41:1 42, M. Brøns and A. V. Bisgaard. Bifurcation of vortex breakdown patterns in a circular cylinder with two rotating covers. Journal of Fluid Mechanics, 568: , A. V. Bisgaard, M. Brøns, and J. N. Sørensen. Vortex breakdown generated by off-axis bifurcation in a circular cylinder with rotating covers. Acta Mechanica, 187:75 83, L. Tophøj, S. Møller, and M. Brøns. Streamline patterns and their bifurcations near a wall with Navier slip boundary conditions. Physics of Fluids, 18:083102, M. Brøns. Relaxation oscillations and canards in a nonlinear model of discontinuous plastic deformation in metals at very low temperatures. Proceedings of the Royal Society of London Series A, 461: , B. H. Jørgensen, J. N. Sørensen, and M. Brøns. Low-dimensional modelling of a driven cavity flow with two free parameters. Theoretical and Computational Fluid Mechanics, 16(4): ,
2 M. Brøns and J. Sturis. Explosion of limit cycles and chaotic waves in a simple nonlinear chemical system. Physical Review E, 64:026209, M. Brøns, L. K. Voigt, and J. N. Sørensen. Topology of vortex breakdown bubbles in a cylinder with rotating bottom and free surface. Journal of Fluid Mechanics, 428: , E. A. Christensen, M. Brøns, and J. N. Sørensen. Evaluation of POD-based decomposition techniques applied to parameter-dependent non-turbulent flows. SIAM Journal on Scientific Computing, 21(4): , M. Brøns, L. K. Voigt, and J. N. Sørensen. Streamline topology of steady axisymmetric vortex breakdown in a cylinder with co- and counter-rotating end-covers. Journal of Fluid Mechanics, 401: , M. Brøns and J. N. Hartnack. Streamline topologies near simple degenerate critical points in twodimensional flow away from boundaries. Physics of Fluids, 11(2): , H. Aref and M. Brøns. On stagnation points and streamline topology in vortex flows. Journal of Fluid Mechanics, 370:1 27, M. Brøns, P. Gross, and K. Bar-Eli. Circle maps and the Devil s staircase in a chemical oscillator. International Journal of Bifurcation and Chaos, 7(11): , J. Sturis and M. Brøns. Local and global bifurcations at infinity in models of glycolytic oscillations. Journal of Mathematical Biology, 36(2): , M. Brøns, P. Hjorth, and W. Kliem. Coriolis effects in the dynamics of a rotating elastic structure. Acta Mechanica, 116: , J. Sturis and M. Brøns. Chaos and chaotic transients in a forced model of the economic long wave: The role of homoclinic bifurcation to infinity. International Journal of Bifurcation and Chaos, 5(3): , M. Brøns. Topological fluid dynamics of interfacial flows. Physics of Fluids, 6(8): , M. Brøns and W. Kliem. Nonlinear analysis of the buckling and vibration of a rotating elasticum. International Journal of Mechanical Sciences, 36(7): , M. Brøns and K. Bar-Eli. Asymptotic analysis of canards in the EOE equations and the role of the inflection line. Proceedings of the Royal Society of London Series A, 445: , E. A. Christensen, J. N. Sørensen, M. Brøns, and P. L. Christiansen. Low dimensional representations of early transition in rotating fluid flow. Theoretical and Computational Fluid Dynamics, 5: , M. Brøns and J. Sturis. Homoclinic bifurcation to infinity in a model of the economic long wave. International Journal of Bifurcation and Chaos, 2(1): , M. Brøns, W. Kliem, and S. Markvorsen. Nonlinear models of a vibrating elasticum. Journal of Sound and Vibration, 258(1):35 43, M. Brøns and J. Sturis. Local and global bifurcations in a model of the economic long wave. System Dynamics Review, 7(1):41 60,
3 M. Brøns and K. Bar-Eli. Canard explosion and excitation in chemical systems. Journal of Physical Chemistry, 95: , A. Hunding and M. Brøns. Bifurcation in a spherical reaction-diffusion system with imposed gradient. Physica D, 44: , K. Bar-Eli and M. Brøns. On period lengthening near the end of oscillations in chemical systems. Journal of Physical Chemistry, 94: , M. Brøns. Bifurcations and instabilities in the Greitzer model for compressor system surge. Mathematical Engineering in Industry, 2(1):51 63, Collections P. Z. Bar-Yoseph, M. Brøns, K. A. Cliffe, A. Gelfgat, and A. Oron, editors. Proceedings of the Third International Symposium on Instability and Bifurcations in Fluid Dynamics, volume 216 of Journal of Physics: Conference Series M. Brøns, T. J. Kaper, and H. G. Rotstein, editors. Focus Issue on Mixed Mode Oscillations, volume 18(1) of Chaos P. Z. Bar-Yoseph, M. Brøns, A. Gelfgat, and J. N. Sørensen, editors. Proceedings of the Second International Symposium on Instability and Bifurcations in Fluid Dynamics, volume 64 of Journal of Physics: Conference Series M. Brøns, M. P. Bendsøe, and M. P. Sørensen, editors. Progress in Industrial Mathematics at ECMI 96. B. G. Teubner, Stuttgart, Chapters in books M. Brøns and B. S. Jensen. Hopf bifurcation, trends, cycles, square waves, and chaos in economic growth models with time delays. In B. S. Jensen and T. Palokangas, editors, Stochastic Economic Dynamics, pages CBS Press, Copenhagen, M. Brøns, M. Krupa, and M. Wechselberger. Mixed mode oscillations due to the generalized canard phenomenon. In W. Nagata and N. Sri Namachchivaya, editors, Bifurcation Theory and Spatio-Temporal Pattern Formation, volume 49 of Fields Institute Communications, pages American Mathematical Society, M. Brøns. Streamline patterns and their bifurcations using methods from dynamical systems. In R. L. Ricca, editor, An Introduction to the Geometry and Topology of Fluid Flows, pages Kluwer, M. Brøns. Topological fluid mechanics of axisymmetric flows. In J. N. Sørensen, E. J. Hopfinger, and N. Aubry, editors, Simulation and Identification of Organized Structures in Flows, pages Kluwer,
4 Papers in proceedings D. Blackmore, A. Goullet, and M. Brøns. Two-vortex model for vortex breakdown. In Proceedings of DSCC 2008, ASME 2008 Dynamic Systems and Control Conference. ASME, Paper DSCC M. A. Stremler and M. Brøns. Point vortex models of bluff body wakes. Proccedings in Applied Mathematics and Mechanics, 7: , H. Aref, M. Brøns, and M. A. Stremler. Bifurcation and instability problems in vortex wakes. In Proceedings of the Second International Symposium on Instability and Bifurcations in Fluid Dynamics, volume 64 of Journal of Physics: Conference Series, page M. Brøns and A. Bisgaard. Bifurcation of vortex breakdown patterns. In S. N. Atluri and A. J. B. Tadeu, editors, Proceedings of the 2004 International Conference on Computational & Experimental Engineering & Sciences, pages Tech Science Press, Georgia, USA, G. Goranović, M. P. Sørensen, M. Brøns, and H. Bruus. Electrohydrodynamic stability of two-phase microflows. In Proceedings of microtas 2004, volume 1, pages ISBN M. Brøns. Canard explosion in a model for discontinuous plastic deformation at very low temperatures. In J. Awrejcewicz, A. Owczarek, and J. Mrozowski, editors, Proceedings of the 7th Conference on Dynamical Systems Theory and Applications, pages Department of Automatics and Biomechanics, Technical University of Łódź, Łódź, L. K. Voigt, J. N. Sørensen, J. M. Pedersen, and M. Brøns. Review of four turbulence models using topology. In Proceedings of the Eighth International IBPSA Conference, pages Eindhoven, Netherlands, M. Brøns, P. Hjorth, and W. Kliem. Dynamics of a simple rotating structure. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), 76 suppl. 5:75 76, M. Brøns. Topological fluid mechanics with applications to free surfaces and axisymmetric flows. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), 76 suppl. 5:73 74, M. Brøns and P. Gross. Nonlinear analysis of a compressor with active stabilization. In M. Heiliö, editor, Procedings of the Fifth European Conference on Mathematics in Industry, pages Klüwer Academic Publishers, Amsterdam, M. Brøns. A model for compressor flow instability with mode shifting. Mathematical and Computer Modelling, 14: , M. Brøns. Excitation and annihilation in the FitzHugh-Nagumo equations. IMACS Transactions on Scientific Computing, 1.1: , M. Brøns. Bifurcations and instabilities in compressor systems. In Proceedings of the 29th meeting of the Scandinavian Simulation Society. SIMS, Sønderborg, C. Kaas-Petersen and M. Brøns. A computational method for the canard explosion. In B. Wahlström, editor, Proceedings of the 11th IMACS World Conference, volume 4, pages IMACS, Oslo,
5 Other papers J. N. Hartnack, M. Brøns, and A. Spohn. The role of asymmetric perturbations in steady vortex breakdown bubbles. DCAMM Report 628, Technical University of Denmark, V. Andreasen and M. Brøns. Kaos er ikke holisme. Naturkampen, 51:27 31, In Danish. M. Brøns. Canards and excitation in Liénard equations. MAT-REPORT , Mathematical Institute, Technical University of Denmark, Work in progress G. Chamoun, F. Schilder, and M. Brøns. Stabilization of vortices in the wake of a circular cylinder using harmonic forcing, Submitted for publication. M. Brøns and M. Krupa. Mixed mode oscillations in the Olsen model of the peroxidase reaction. In preparation. M. Brøns, M. A. Stremler, and H. Aref. Streamline topology of vortex streets. In preparation. 5
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