Impact of pulse exposure on chimera state in ensemble of FitzHugh-Nagumo systems

Elena Rybalova, Nadezhda Semenova
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Abstract

In this article we consider the influence of a periodic sequence of Gaussian pulses on a chimera state in a ring of coupled FitzHugh-Nagumo systems. We found that on the way to complete spatial synchronization one can observe a number of variations of chimera states that are not typical for the parameter range under consideration. For example, the following modes were found: breathing chimera, chimera with intermittency in the incoherent part, traveling chimera with strong intermittency, and others. For comparison, here we also consider the impact of a harmonic influence on the same chimera, and to preserve the generality of the conclusions, we compare the regimes caused by both a purely positive harmonic influence and a positive-negative one.
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脉冲暴露对 FitzHugh-Nagumo 系统集合中嵌合体状态的影响
在这篇文章中,我们考虑了高斯脉冲周期序列对耦合菲茨休-纳古莫系统环中嵌合态的影响。我们发现,在实现完全空间同步的过程中,我们可以观察到一些奇美拉状态的变化,这些变化在所考虑的参数范围内并不典型。例如,我们发现了以下模式:呼吸嵌合、不连贯部分间歇嵌合、具有强间歇性的行进嵌合等。为了进行比较,我们还考虑了谐波影响对同一嵌合体的影响,并且为了保留结论的普遍性,我们比较了纯正谐波影响和正负谐波影响所造成的状态。
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