Xie Fagen, Xie Dongzhu, Weiss James N
Research Department, Kaiser Permanente, 100 S. Los Robles Avenue, Pasadena, CA 91101, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Aug;74(2 Pt 2):026107. doi: 10.1103/PhysRevE.74.026107. Epub 2006 Aug 8.
The breakup of inwardly rotating spiral waves has been investigated in an oscillatory reaction-diffusion system near a Hopf bifurcation point. The breakup first occurred at the region far away from the core area, then gradually involved the whole medium by increasing the diffusion coefficient ratio between the two components of the oscillator system. With the approximation of the Complex-Ginzburg-Landau equation (CGLE), the criteria for the occurrence of the inwardly rotating spiral wave are examined theoretically. The analysis of the stability in the corresponding CGLE revealed that the breakup of the inward spiral wave was related to the Eckhaus instability.
在霍普夫分岔点附近的振荡反应扩散系统中，对内旋螺旋波的破裂进行了研究。破裂首先发生在远离核心区域的地方，然后通过增加振荡器系统两个组分之间的扩散系数比，逐渐波及整个介质。利用复金兹堡-朗道方程（CGLE）的近似，从理论上研究了内旋螺旋波出现的判据。对相应CGLE中的稳定性分析表明，内螺旋波的破裂与埃克豪斯不稳定性有关。
