Journal
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Volume 223, Issue 4, Pages 721-728Publisher
SPRINGER HEIDELBERG
DOI: 10.1140/epjst/e2014-02137-7
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Funding
- European Union (European Social Fund ESF)
- Greek national funds through the Operational Program Education and Lifelong Learning of the National Strategic Reference Framework (NSRF) - Research Funding Program: Thales
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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 aS > 0. We first present numerical evidence showing that chimeras do exist in this system for small mass values 0 < m a parts per thousand(a) 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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