TY - JOUR
T1 - Chimera states in a two-population network of coupled pendulum-like elements
AU - Bountis, T.
AU - Kanas, V. G.
AU - Hizanidis, J.
AU - Bezerianos, A.
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2014/4
Y1 - 2014/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84899568314&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84899568314&partnerID=8YFLogxK
U2 - 10.1140/epjst/e2014-02137-7
DO - 10.1140/epjst/e2014-02137-7
M3 - Article
AN - SCOPUS:84899568314
VL - 223
SP - 721
EP - 728
JO - European Physical Journal: Special Topics
JF - European Physical Journal: Special Topics
SN - 1951-6355
IS - 4
ER -