Oscillation death in coupled counter-rotating identical nonlinear oscillators

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Title
Oscillation death in coupled counter-rotating identical nonlinear oscillators
Author(s)
Jung-Wan Ryu; Woo-Sik Son; Dong-Uk Hwang
Publication Date
2019-08
Journal
PHYSICAL REVIEW E, v.100, no.2, pp.022209 -
Publisher
AMERICAN PHYSICAL SOCIETY
Abstract
We study oscillatory and oscillation suppressed phases in coupled counter-rotating nonlinear oscillators. We demonstrate the existence of limit cycle, amplitude death, and oscillation death, and also clarify the Hopf, pitchfork, and infinite period bifurcations between them. Especially, the oscillation death is a new type of oscillation suppressions of which the inhomogeneous steady states are neutrally stable. We discuss the robust neutral stability of the oscillation death in non-conservative systems via the anti-parity-time-symmetric phase transitions at exceptional points in terms of non-Hermitian systems. ©2019 American Physical Society
URI
https://pr.ibs.re.kr/handle/8788114/6127
ISSN
2470-0045
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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