2008年11月
Bifurcation analysis of solitary and synchronized pulses and formation of reentrant waves in laterally coupled excitable fibers
PHYSICAL REVIEW E
- ,
- ,
- 巻
- 78
- 号
- 5
- 開始ページ
- 056208
- 終了ページ
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1103/PhysRevE.78.056208
- 出版者・発行元
- AMER PHYSICAL SOC
We study the dynamics of a reaction-diffusion system comprising two mutually coupled excitable fibers. We consider a case in which the dynamical properties of the two fibers are nonidentical due to the parameter mismatch between them. By using the spatially one-dimensional FitzHugh-Nagumo equations as a model of a single excitable fiber, synchronized pulses are found to be stable in some parameter regime. Furthermore, there exists a critical coupling strength beyond which the synchronized pulses are stable for any amount of parameter mismatch. We show the bifurcation structures of the synchronized and solitary pulses and identify a codimension-2 cusp singularity as the source of the destabilization of synchronized pulses. When stable solitary pulses in both fibers disappear via a saddle-node bifurcation on increasing the coupling strength, a reentrant wave is formed. The parameter region, where a stable reentrant wave is observed in direct numerical simulation, is consistent with that obtained by bifurcation analysis.
- リンク情報
- ID情報
-
- DOI : 10.1103/PhysRevE.78.056208
- ISSN : 1539-3755
- Web of Science ID : WOS:000261213800026