Resonance and the Formation of Death-Spot in One-Dimensional FitzHugh-Nagumo Equations

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概要

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• We analyze the effect of periodic forcing on a chain of FitzHugh-Nagumo elements in an excitable regime. The element at the end of chain is coupled unidirectional to a single pacemaker, limit cycle oscillator. With a suitable pacemaker's frequency, we find that the suppression of the pulse propagation occurs in some parameter regime, while the isolated pulse propagates stably in the chain. This propagation failure comes from the formation of the "death-spot", where successive pulses annihilate.

• 理論物理学刊行会の論文
• 2006-04-20

著者

• NISHIURA Yasumasa

  Laboratory of Nonlinear Studies and Computations, Research Institute for Electronic Science, Hokkaid

• Kobayashi Ryo

  Department Of Scientific And Engineering Simulation Graduate School Of Engineering Nagoya Institute

• Kobayashi Ryo

  Department Of Mathematical And Life Sciences Hiroshima University

• Kobayashi Ryo

  Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University

• YANAGITA Tatsuo

  Laboratory of Nonlinear Studies and Computation, Research Institute for Electronic Science, Hokkaido

• Yanagita Tatsuo

  Laboratory Of Nonlinear Studies And Computation Research Institute For Electronic Science Hokkaido U

• Nishiura Yasumasa

  Laboratory Of Nonlinear Studies And Computation Research Institute For Electronic Science Hokkaido U

• NISHIURA Yasumasa

  Laboratory of Nonlinear Studies and Computation, Research Institute for Electronic Science, Hokkaido University

• KOBAYASHI Ryo

  Department of Mathematical and Life Sciences, Hiroshima University

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