Chimera states in a two-population network of coupled pendulum-like elements

T. Bountis, V. G. Kanas, J. Hizanidis, A. Bezerianos

Research output: Contribution to journalArticle

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 {small element of} > 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.

Original languageEnglish (US)
Pages (from-to)721-728
Number of pages8
JournalEuropean Physical Journal: Special Topics
Volume223
Issue number4
DOIs
StatePublished - Apr 2014

ASJC Scopus subject areas

  • Materials Science(all)
  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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