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Diverse coherence-resonance chimeras in coupled type-I excitable systems
arXiv - PHYS - Disordered Systems and Neural Networks Pub Date : 2022-09-09 , DOI: arxiv-2209.04233
Taniya Khatun, Biswabibek Bandyopadhyay, Tanmoy Banerjee

Coherence-resonance chimera was discovered in [Phys. Rev. Lett. 117, 014102 (2016)], which combines the effect of coherence resonance and classical chimeras in the presence of noise in a network of type-II excitable systems. However, the same in a network of type-I excitable units has not been observed yet. In this paper, for the first time, we report the occurrence of coherence-resonance chimera in coupled type-I excitable systems. We consider a paradigmatic model of type-I excitability, namely the saddle-node infinite period model and show that the coherence-resonance chimera appears over an optimum range of noise intensity. Moreover, we discover a unique chimera pattern that is a mixture of classical chimera and the coherence-resonance chimera. We support our results using quantitative measures and map them in parameter space. This study reveals that the coherence-resonance chimera is a general chimera pattern and thus it deepens our understanding of role of noise in coupled excitable systems.

中文翻译:

耦合 I 型可激发系统中的不同相干共振嵌合体

相干共振嵌合体在 [Phys. 牧师莱特。117, 014102 (2016)],它结合了 II 型可激发系统网络中存在噪声的相干共振和经典嵌合体的影响。然而,在 I 型可兴奋单元网络中尚未观察到相同的情况。在本文中,我们首次报道了耦合 I 型可激发系统中相干共振嵌合体的发生。我们考虑了 I 型兴奋性的典型模型,即鞍节点无限周期模型,并表明相干共振嵌合体出现在噪声强度的最佳范围内。此外,我们发现了一种独特的嵌合体模式,它是经典嵌合体和相干共振嵌合体的混合体。我们使用定量测量来支持我们的结果,并将它们映射到参数空间中。
更新日期:2022-09-12
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