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Chimera States in Three Populations of Pendulum-Like Elements with Inertia
American Journal of Physics and Applications
Volume 7, Issue 1, January 2019, Pages: 27-33
Received: Jan. 24, 2019; Accepted: Mar. 6, 2019; Published: Mar. 19, 2019
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Hao Yin, School of Science, Xi’an University of Posts and Telecommunications, Xi’an, China
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The aim of this study is to investigate the chimera states in three populations of pendulum-like elements with inertia in varying network topology. Considering the coupling strength between oscillators within each population is stronger than the inter-population coupling, we search for the chimera states in three populations of pendulum-like elements under the ring and the chain structures by adjusting the inertia and the damping parameter. The numerical evidence is presented showing that chimera states exist in a narrow interval of inertia in ring and chain structures. It is found that chimera states cease to exist with the decreasing of damping parameter. Furthermore, it is revealed that there is a linear relationship between the inertia (m) and damping parameter threshold (εth) in the two network structures.
Chimera States, Inertia, Network Topology
To cite this article
Hao Yin, Chimera States in Three Populations of Pendulum-Like Elements with Inertia, American Journal of Physics and Applications. Vol. 7, No. 1, 2019, pp. 27-33. doi: 10.11648/j.ajpa.20190701.15
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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