Onset of unidirectional pulse propagation in an excitable medium with asymmetric heterogeneity

• Teramoto, Takashi

• Yuan, Xiaohui

• Bär, Markus

• Nishiura, Yasumasa

抄録

Heterogeneity is one of the most important and ubiquitous types of external perturbations in dissipative systems. To know the behaviors of pulse waves in such media is closely related to studying the collision process between the pulse and the heterogeneity-induced-ordered pattern. In particular, we focus on unidirectional propagation of pulses in a medium with an asymmetric bump heterogeneity. This topic has attracted much interest recently with respect to potential computational aspects of chemical pulse propagation as well as with respect to pulse propagation in biological signal processing. We employ a three-component reaction-diffusion system with one activator and two inhibitor species to illustrate these issues. The reduced dynamics near a drift bifurcation describes the phenomena in the full partial differential equations by ordinary differential equations. Such a reduced dynamics is able to capture unidirectional propagation properties of pulses near an asymmetric heterogeneity in a qualitatively correct way. A remarkable feature is that such unidirectional behavior is linked to the imperfection of global bifurcation structure and the resulting asymmetric locations of critical points.

収録刊行物

• Physical Review E

  Physical Review E 79 (4), 046205-, 2009-04

  American Physical Society

キーワード

• bifurcation
• differential equations
• nonlinear dynamical systems
• reaction-diffusion systems
• transport processes

詳細情報

• CRID: 1050282813977639680
• NII論文ID: 120001342683
• HANDLE: 2115/38556
• ISSN: 15393755
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles
  • KAKEN