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

32 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

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