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arXiv · 1308.5528

Chimera States in a Two-Population Network of Coupled Pendulum-Like Elements

Tassos Bountis·Vasileios G. Kanas·Johanne Hizanidis·Anastasios Bezerianos
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Abstract

More than a decade ago, a surprising coexistence of synchronous and asynchronous behavior called the chimera state was discovered in networks of nonlocally coupled identical phase oscillators. In later years, chimeras were found to occur in a variety of theoretical and experimental studies of chemical and optical systems, as well as models of neuron dynamics. In this work, we study two coupled populations of pendulum-like elements represented by phase oscillators with a second derivative term multiplied by a mass parameter $m$ and treat the first order derivative terms as dissipation with parameter $\epsilon>0$. We first present numerical evidence showing that chimeras do exist in this system for small mass values $0<m<<1$. We then proceed to explain these states by reducing the coherent population to a single damped pendulum equation driven parametrically by oscillating averaged quantities related to the incoherent population.

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Tassos Bountis, Vasileios G. Kanas, Johanne Hizanidis, Anastasios Bezerianos. 2013-08-26. Chimera States in a Two-Population Network of Coupled Pendulum-Like Elements. https://doi.org/10.1140/epjst%2Fe2014-02137-7

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