Hopf Bifurcation of Travelling Pulses in Some Bistable Reaction-Diffusion Systems
Hopf Bifurcation of Travelling Pulses in Some Bistable Reaction-Diffusion Systems
复制标题
一些双稳态反应扩散系统中行进脉冲的 Hopf 分岔
DOI：
10.4310/maa.2000.v7.n1.a8
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发表时间：
2000
影响因子：
0.3
通讯作者：
M. Mimura
中科院分区：
文献类型：
--
作者：
Tsumosu Ikeda;H. Ikeda;M. Mimura
本文致力于研究参数 e > 0 足够小的双稳态反应扩散系统行进脉冲解的全局结构。分段线性非线性的简化使我们能够揭示行进脉冲解的全局分支。使用 e 40 的奇异极限分析，显示了分支上 Hopf 分岔点的外观，从中产生了具有振荡层（移动呼吸器）的传播脉冲解的数值。
The present paper is devoted to the study of the global structure of travelling pulse solutions of a bistable reaction-diffusion system with a sufficiently small parameter e > 0. The simplification of piecewise-linear nonlinearity enables us to reveal the global branch of travelling pulse solutions. Using the singular limit analysis as e 40, the appearance of the Hopf bifurcation point on the branch is shown, from which propagating pulse solutions with oscillating layers (travelling breathers) arise numerically.
影响因子：
2
作者：
NISHIURA, Y;MIMURA, M;FUJII, H
通讯作者：
FUJII, H