Yang Junzhong, Garfinkel Alan
School of Science, Beijing University of Posts and Telecommunications, Beijing 100088, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Dec;68(6 Pt 2):066312. doi: 10.1103/PhysRevE.68.066312. Epub 2003 Dec 31.
We studied spiral wave dynamics in an oscillatory reaction diffusion system. We find a new phenomenon: without the appearance of any global modulation mode, stable spiral waves break up directly. By investigating the one-dimensional version of the system and the isolated local dynamics, we find that the unstable focus in the local dynamics plays an important role. For different boundary conditions (BCs), we find a transition between spiral waves and traveling waves for periodic BCs and drifting spiral wave for no-flux BC.
我们研究了振荡反应扩散系统中的螺旋波动力学。我们发现了一个新现象:在没有任何全局调制模式出现的情况下,稳定的螺旋波会直接破裂。通过研究该系统的一维版本和孤立的局部动力学,我们发现局部动力学中的不稳定焦点起着重要作用。对于不同的边界条件,我们发现对于周期性边界条件,螺旋波和行波之间存在转变,而对于无通量边界条件,则存在漂移螺旋波。