Wavy fronts and speed bifurcation in excitable systems with cross diffusion.
Wavy fronts and speed bifurcation in excitable systems with cross diffusion.
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具有交叉扩散的可兴奋系统中的波峰和速度分叉。
DOI：
10.1103/physreve.77.036219
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
M. Hauser
中科院分区：
文献类型：
--
作者：
E. Zemskov;K. Kassner;M. Hauser
在激活剂-抑制剂型双组分反应-扩散体系中，发现了交叉扩散引起的激励前沿分岔现象。这种分岔类似于非平衡态的Ising-Bloch分岔。与这种分岔有关的是另一种锋面，其空间轮廓以振荡尾为特征。这些前沿用分段线性反应扩散方程的精确解析解来描述。
A bifurcation of excitation fronts induced by cross diffusion in two-component bistable reaction-diffusion systems of activator-inhibitor type is discovered. This bifurcation is similar to the nonequilibrium Ising-Bloch bifurcation. A different type of fronts, whose spatial profiles are characterized by oscillating tails, are associated with this bifurcation. These fronts are described using exact analytical solutions of piecewise linear reaction-diffusion equations.