%0 Book Section %1 statphys23_0785 %A Suetani, H. %A Yanagita, T. %A Aihara, K. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K chaos coupled dynamics excitability pulse reaction-diffusion spatio-temporal statphys23 synchronization systems topic-4 %T A Variety of Patterns and Spatio-Temporal Chaos in Coupled Excitable Media %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=785 %X It is widely observed that there are inter-media interactions among spatially localized patterns in multi-layered excitable media. For example, in the olfactory nerves and the hippocampus, huge nerve axons are arranged in a densely packed bundles so that neighboring neurons can electrically communicate each other. \ In this paper, we study the dynamics of propagating pulses in a reaction-diffusion system composed of two mutually coupled excitable fibers, especially focusing on the situation in which dynamical properties of two fibers are not identical due to the parameter difference between the fibers. \ Using the spatially one-dimensional FitzHugh-Nagumo (FHN) equations as a mathematical model of single excitable fibers, we discuss the stability problem of the synchronized propagating pulses against the change of the control parameters and barriers, and show that the system exhibits a rich variety of dynamical behaviors such as recombination of a solitary pulse and synchronized pulses, and overtaking of a slow-moving solitary pulse by fast-moving synchronized pulses. We also report that when the Jacobi matrix of the FHN kinetics at the resting point has complex eigenvalues, the system exhibits spatio-temporal chaos via a torus-breakdown route.

@incollection{statphys23_0785, abstract = {It is widely observed that there are inter-media interactions among spatially localized patterns in multi-layered excitable media. For example, in the olfactory nerves and the hippocampus, huge nerve axons are arranged in a densely packed bundles so that neighboring neurons can electrically communicate each other. \ In this paper, we study the dynamics of propagating pulses in a reaction-diffusion system composed of two mutually coupled excitable fibers, especially focusing on the situation in which dynamical properties of two fibers are not identical due to the parameter difference between the fibers. \ Using the spatially one-dimensional FitzHugh-Nagumo (FHN) equations as a mathematical model of single excitable fibers, we discuss the stability problem of the synchronized propagating pulses against the change of the control parameters and barriers, and show that the system exhibits a rich variety of dynamical behaviors such as recombination of a solitary pulse and synchronized pulses, and overtaking of a slow-moving solitary pulse by fast-moving synchronized pulses. We also report that when the Jacobi matrix of the FHN kinetics at the resting point has complex eigenvalues, the system exhibits spatio-temporal chaos via a torus-breakdown route.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Suetani, H. and Yanagita, T. and Aihara, K.}, biburl = {https://www.bibsonomy.org/bibtex/257934bc3cfe351930a09cbb04bfff9b2/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {8e7ac6f330a6a5f83985b4c232a0471c}, intrahash = {57934bc3cfe351930a09cbb04bfff9b2}, keywords = {chaos coupled dynamics excitability pulse reaction-diffusion spatio-temporal statphys23 synchronization systems topic-4}, month = {9-13 July}, timestamp = {2007-06-20T10:16:29.000+0200}, title = {A Variety of Patterns and Spatio-Temporal Chaos in Coupled Excitable Media}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=785}, year = 2007 }