Dynamics of travelling breathers arising in reaction-diffusion systems --ODE modelling approach--
Dynamics of travelling breathers arising in reaction-diffusion systems --ODE modelling approach--
复制标题
反应扩散系统中产生的移动呼吸动力学--ODE建模方法--
DOI：
10.32917/hmj/1206124685
复制
发表时间：
2000
影响因子：
0.2
通讯作者：
T. Ikeda
中科院分区：
文献类型：
--
作者：
M. Mimura;M. Nagayama;H. Ikeda;T. Ikeda
.本文研究了一类具有小层参数ε的双组分扩散反应扩散系统中的带有呼吸运动的振荡脉冲，称之为呼吸子。应用界面动力学方法ε j 0，我们将系统简化为一个四维常微分方程组来描述脉冲前后界面的运动.这种简化使我们能够揭示驻脉冲和行波脉冲以及行波呼吸子的全局结构，由此可以讨论行波呼吸子的定性性质。
. We consider oscillatory travelling pulses with breathing motion, which are called travelling breathers, arising in a two-component bistable reaction-diffusion system with a small layer-parameter ε. Applying the interfacial dynamics procedure as ε j 0, we reduce the system to a 4-dimensional system of ODEs to describe the motion of front and back interfaces of the pulse. This reduction enables us to reveal the global structure of standing and travelling pulses as well as travelling breathers, by which qualitative properties of travelling breathers can be discussed.