Emergence of amplitude and oscillation death in identical coupled oscillators

Wei Zou; D. V. Senthilkumar; Jinqiao Duan; Juergen Kurths

doi:10.1103/PhysRevE.90.032906

Emergence of amplitude and oscillation death in identical coupled oscillators

Wei Zou^*, D. V. Senthilkumar, Jinqiao Duan, Juergen Kurths

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

Abstract

We deduce rigorous conditions for the onset of amplitude death (AD) and oscillation death (OD) in a system of identical coupled paradigmatic Stuart-Landau oscillators. A nonscalar coupling and high frequency are beneficial for the onset of AD. In strong contrast, scalar diffusive coupling and low intrinsic frequency are in favor of the emergence of OD. Our finding contributes to clearly distinguish intrinsic geneses for AD and OD, and further substantially corroborates that AD and OD are indeed two dynamically distinct oscillation quenching phenomena due to distinctly different mechanisms.

Original language	English
Article number	032906
Number of pages	5
Journal	Physical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume	90
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.90.032906
Publication status	Published - 8 Sept 2014

Bibliographical note

This work was supported by the National Natural Science Foundation of China under Grant No. 11202082, the Fundamental Research Funds for the Central Universities of China under Grants No. 2013QN165 and No. 2014QT005, IRTG1740 (DFG-FAPESP), and SERB-DST Fast Track scheme for young scientist under Grant No. ST/FTP/PS-119/2013.

Keywords

limit-cycle oscillators
delay
systems

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10.1103/PhysRevE.90.032906

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title = "Emergence of amplitude and oscillation death in identical coupled oscillators",

abstract = "We deduce rigorous conditions for the onset of amplitude death (AD) and oscillation death (OD) in a system of identical coupled paradigmatic Stuart-Landau oscillators. A nonscalar coupling and high frequency are beneficial for the onset of AD. In strong contrast, scalar diffusive coupling and low intrinsic frequency are in favor of the emergence of OD. Our finding contributes to clearly distinguish intrinsic geneses for AD and OD, and further substantially corroborates that AD and OD are indeed two dynamically distinct oscillation quenching phenomena due to distinctly different mechanisms.",

keywords = "limit-cycle oscillators, delay, systems",

author = "Wei Zou and Senthilkumar, {D. V.} and Jinqiao Duan and Juergen Kurths",

note = "This work was supported by the National Natural Science Foundation of China under Grant No. 11202082, the Fundamental Research Funds for the Central Universities of China under Grants No. 2013QN165 and No. 2014QT005, IRTG1740 (DFG-FAPESP), and SERB-DST Fast Track scheme for young scientist under Grant No. ST/FTP/PS-119/2013.",

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doi = "10.1103/PhysRevE.90.032906",

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T1 - Emergence of amplitude and oscillation death in identical coupled oscillators

AU - Zou, Wei

AU - Senthilkumar, D. V.

AU - Duan, Jinqiao

AU - Kurths, Juergen

N1 - This work was supported by the National Natural Science Foundation of China under Grant No. 11202082, the Fundamental Research Funds for the Central Universities of China under Grants No. 2013QN165 and No. 2014QT005, IRTG1740 (DFG-FAPESP), and SERB-DST Fast Track scheme for young scientist under Grant No. ST/FTP/PS-119/2013.

PY - 2014/9/8

Y1 - 2014/9/8

N2 - We deduce rigorous conditions for the onset of amplitude death (AD) and oscillation death (OD) in a system of identical coupled paradigmatic Stuart-Landau oscillators. A nonscalar coupling and high frequency are beneficial for the onset of AD. In strong contrast, scalar diffusive coupling and low intrinsic frequency are in favor of the emergence of OD. Our finding contributes to clearly distinguish intrinsic geneses for AD and OD, and further substantially corroborates that AD and OD are indeed two dynamically distinct oscillation quenching phenomena due to distinctly different mechanisms.

AB - We deduce rigorous conditions for the onset of amplitude death (AD) and oscillation death (OD) in a system of identical coupled paradigmatic Stuart-Landau oscillators. A nonscalar coupling and high frequency are beneficial for the onset of AD. In strong contrast, scalar diffusive coupling and low intrinsic frequency are in favor of the emergence of OD. Our finding contributes to clearly distinguish intrinsic geneses for AD and OD, and further substantially corroborates that AD and OD are indeed two dynamically distinct oscillation quenching phenomena due to distinctly different mechanisms.

KW - limit-cycle oscillators

KW - delay

KW - systems

U2 - 10.1103/PhysRevE.90.032906

DO - 10.1103/PhysRevE.90.032906

M3 - Article

SN - 1539-3755

VL - 90

JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

IS - 3

M1 - 032906

ER -

Emergence of amplitude and oscillation death in identical coupled oscillators

Abstract

Bibliographical note

Keywords

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