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 journalArticlepeer-review

35 Citations (Scopus)


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
Issue number3
Publication statusPublished - 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.


  • limit-cycle oscillators
  • delay
  • systems


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