Nonannihilation dynamics in an exothermic reaction-diffusion system with mono-stable excitability.
Nonannihilation dynamics in an exothermic reaction-diffusion system with mono-stable excitability.
复制标题
具有单稳态兴奋性的放热反应扩散系统中的非湮灭动力学。
作者：
M. Mimura;M. Nagayama
我们考虑一个描述简单放热反应过程的二组分可激发扩散系统。在一定的参数范围内，系统的行波脉冲具有两个特征：（1）行波脉冲是平面不稳定的;（2）当两个行波脉冲接近时，它们不会相互湮灭，而是像弹性物体一样相互排斥。在这种情况下，它示出的环图案分解成复杂的图案在2维，这是完全不同的，在著名的可激发和扩散系统与FitzHugh-Nagumo非线性。(c)1997年美国物理学会。
We consider a 2-component excitable and diffusive system which describes a simple exothermic reaction process. In some parameter regime, there are two characteristics of travelling pulses of the system: (i) travelling pulses are planarly unstable; (ii) when two travelling pulses approach closely, they do not annihilate each other and repel like elastic objects. Under this situation, it is shown that ring patterns break down into complex patterns in 2-dimensions, which are totally different from those arising in the well-known excitable and diffusive system with the FitzHugh-Nagumo nonlinearity. (c) 1997 American Institute of Physics.