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Amplitude death in a ring of nonidentical nonlinear oscillators with unidirectional coupling

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Title
Amplitude death in a ring of nonidentical nonlinear oscillators with unidirectional coupling
Author(s)
Jung-Wan Ryu; Jong-Ho Kim; Woo-Sik Son; Dong-Uk Hwang
Publication Date
2017-08
Journal
CHAOS, v.27, no.8, pp.083119 -
Publisher
AMER INST PHYSICS
Abstract
We study the collective behaviors in a ring of coupled nonidentical nonlinear oscillators with unidirectional coupling, of which natural frequencies are distributed in a random way. We find the amplitude death phenomena in the case of unidirectional couplings and discuss the differences between the cases of bidirectional and unidirectional couplings. There are three main differences; there exists neither partial amplitude death nor local clustering behavior but an oblique line structure which represents directional signal flow on the spatio-temporal patterns in the unidirectional coupling case. The unidirectional coupling has the advantage of easily obtaining global amplitude death in a ring of coupled oscillators with randomly distributed natural frequency. Finally, we explain the results using the eigenvalue analysis of the Jacobian matrix at the origin and also discuss the transition of dynamical behavior coming from connection structure as the coupling strength increases. Published by AIP Publishing.
URI
https://pr.ibs.re.kr/handle/8788114/3644
ISSN
1054-1500
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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