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Bifurcation delay, travelling waves and chimera-like states in a network of coupled oscillators
The European Physical Journal Special Topics ( IF 2.6 ) Pub Date : 2020-09-28 , DOI: 10.1140/epjst/e2020-900192-x
Vaibhav Varshney , Suresh Kumarasamy , Bibhu Biswal , Awadhesh Prasad

We report novel bifurcation delays and chimera-like states in a network of driven FitzHugh-Nagumo (FHN) oscillators, where each oscillator can rotate either clockwise or anticlockwise. Slow variation of the time-dependent parameter of FHN oscillator near the bifurcation point leads to a delay in the bifurcation. The time delay in the bifurcation is independent of the direction of rotation of the system (clockwise or anticlockwise rotation). When the FHN oscillators are coupled via dissimilar variables, then bifurcation delay in the anticlockwise rotating oscillator changes, creating chimera-like structures and also travelling waves at certain coupling strength. Bifurcation preponement is also observed for other range of coupling strengths. Similar results are also observed in networks of van der Pol and Landau-Stuart oscillators suggesting that the phenomenon is general rather than specific to coupled FHN systems.



中文翻译:

耦合振荡器网络中的分叉延迟,行波和类似嵌合态

我们在驱动FitzHugh-Nagumo(FHN)振荡器的网络中报告了新颖的分叉延迟和类似嵌合状态,其中每个振荡器都可以顺时针或逆时针旋转。FHN振荡器的时间相关参数在分叉点附近的缓慢变化会导致分叉延迟。分叉中的时间延迟与系统的旋转方向(顺时针或逆时针旋转)无关。当FHN振荡器通过不同的变量耦合时,逆时针旋转振荡器的分叉延迟会改变,从而产生类似嵌合体的结构,并且还会以一定的耦合强度传播波。对于其他范围的耦合强度,也观察到分叉倾向。

更新日期:2020-10-06
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