Nonlinearity of local dynamics promotes multi-chimeras

Nonlinearity of local dynamics promotes multi-chimeras
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DOI:
10.1063/1.4927829
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发表时间:
2015-08-01
期刊:
影响因子:
2.9
通讯作者:
Schoell, Eckehard
Schoell, Eckehard
中科院分区:
数学2区
文献类型:
--
作者:
Omelchenko, Iryna;Zakharova, Anna;Schoell, Eckehard

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嵌合态是一种复杂的时空模式,其中同步和异步动力学域在耦合的振子系统中共存。通过研究非局域耦合Van der Pol振子网络,我们考察了单个元素的性质如何影响嵌合体状态。改变Van der Pol系统的分叉参数,我们可以在规则正弦和强非线性弛豫振荡之间进行内插,并证明了更显著的非线性会导致具有多个非相干域的多嵌合态。结果表明,随着非线性的增强,多嵌合态的稳定区和振子的平均相速度分布发生了显著的变化。此外,我们还揭示了时间延迟对嵌合体模式的影响。(C)2015 AIP出版有限责任公司。
Chimera states are complex spatio-temporal patterns in which domains of synchronous and asynchronous dynamics coexist in coupled systems of oscillators. We examine how the character of the individual elements influences chimera states by studying networks of nonlocally coupled Van der Pol oscillators. Varying the bifurcation parameter of the Van der Pol system, we can interpolate between regular sinusoidal and strongly nonlinear relaxation oscillations and demonstrate that more pronounced nonlinearity induces multi-chimera states with multiple incoherent domains. We show that the stability regimes for multi-chimera states and the mean phase velocity profiles of the oscillators change significantly as the nonlinearity becomes stronger. Furthermore, we reveal the influence of time delay on chimera patterns. (C) 2015 AIP Publishing LLC.