Bifurcation Phenomena from Standing Pulse Solutions in Some Reaction-Diffusion Systems
Bifurcation Phenomena from Standing Pulse Solutions in Some Reaction-Diffusion Systems
复制标题
某些反应扩散系统中驻脉冲解的分岔现象
DOI：
10.1023/a:1009098719440
复制
发表时间：
2000
影响因子：
1.3
通讯作者：
T. Ikeda
中科院分区：
文献类型：
--
作者：
H. Ikeda;T. Ikeda
研究了问题u_t = v_{xx} + f（u，v），v_t = v_{xx} + g（u，v）驻脉冲解的分歧现象，其中ε（>0）是充分小的参数，τ是正的参数.结果表明，当τ减小时，驻脉冲解存在两种失稳形式.一种是通过静态分岔出现行波脉冲解，另一种是通过Hopf分岔出现同相呼吸子。此外，还讨论了分段线性非线性项fandg随τ的减小先发生哪种失稳。
Bifurcation phenomena from standing pulse solutions of the problem $$\varepsilon \tau u_t = \varepsilon ^2 u_{xx} + f(u,v),{\text{ }}v_t = v_{xx} + g(u,v)$$ is considered.ε(>0) is a sufficiently small parameter andτis a positive one. It is shown that there exist two types of destabilization of standing pulse solutions whenτdecreases. One is the appearance of travelling pulse solutions via the static bifurcation and the other is that of in-phase breathers via the Hopf bifurcation. Furthermore which type of destabilization occurs first with decreasingτis discussed for the piecewise linear nonlinearitiesfandg.
影响因子：
2
作者：
NISHIURA, Y;MIMURA, M;FUJII, H
通讯作者：
FUJII, H