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 journalArticle

26 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 languageEnglish
Article number032906
Number of pages5
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume90
Issue number3
DOIs
Publication statusPublished - 8 Sep 2014

Keywords

  • limit-cycle oscillators
  • delay
  • systems

Cite this

Emergence of amplitude and oscillation death in identical coupled oscillators. / Zou, Wei; Senthilkumar, D. V.; Duan, Jinqiao; Kurths, Juergen.

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 90, No. 3, 032906, 08.09.2014.

Research output: Contribution to journalArticle

Zou, Wei ; Senthilkumar, D. V. ; Duan, Jinqiao ; Kurths, Juergen. / Emergence of amplitude and oscillation death in identical coupled oscillators. In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 2014 ; Vol. 90, No. 3.
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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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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.

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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

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KW - systems

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