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Backfiring and nonannihilation collisions in the Belousov-Zhabotinsky medium

机译:Belousov-Zhabotinsky介质中的反火和非an灭碰撞

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摘要

In this paper pattern formation and interactions in a spatially extended Belousov-Zhabotinsky reaction medium are investigated numberically.Backfiring,nonannihilation collisions and reflections at nonflux boundaries have been observed in the vicinity of three types of bifurcations including supercritical and subcritical Hopf-bifurcations and the Canard bifurcation.In the vicinity of a supercritical Hopf-Bifurcation,Backfiring and collision-stable behavior do not appear until the system exhibits small amplitude oscillations.In complement to earlier investgations,this study illustrates that the collision-stable behavior also exists under the dynamics where the system has only one stable attractor.The influence of relative molecular diffusivities on the backfiring and which shows that increasing the relative diffusivity of the activator favors the appearance of the above complex behavior.The transition from a supercritical Hopf-bifurcation to a Canard bifurcation has also been investigated.
机译:本文对空间扩展的Belousov-Zhabotinsky反应介质中的模式形成和相互作用进行了数值研究。在超临界和亚临界Hopf分支和Canard三种类型的分支附近,观察到了反射,非an灭碰撞和非通量边界处的反射。在超临界Hopf分叉附近,直到系统出现小幅振幅振荡后,才会出现反向点火和碰撞稳定行为。作为对早期研究的补充,本研究表明,在动力学条件下,碰撞稳定行为也存在。该系统只有一个稳定的吸引子。相对分子扩散性对反向发射的影响表明增加活化剂的相对扩散性有利于上述复杂行为的出现。从超临界霍普夫分叉到Canard分叉的转变具有也被调查了d。

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