Amplitude death in nonlinear oscillators with mixed time-delayed coupling

Wei Zou*, D. V. Senthilkumar, Yang Tang, Ye Wu, Jianquan Lu, Juergen Kurths

*Corresponding author for this work

Research output: Contribution to journalArticle

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Abstract

Amplitude death (AD) is an emergent phenomenon whereby two or more autonomously oscillating systems completely lose their oscillations due to coupling. In this work, we study AD in nonlinear oscillators with mixed time-delayed coupling, which is a combination of instantaneous and time-delayed couplings. We find that the mixed time-delayed coupling favors the onset of AD for a larger set of parameters than in the limiting cases of purely instantaneous or completely time-delayed coupling. Coupled identical oscillators experience AD under instantaneous coupling mixed with a small proportion of time-delayed coupling. Our work gives a deeper understanding of delay-induced AD in coupled nonlinear oscillators.

Original languageEnglish
Article number032916
Number of pages8
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume88
Issue number3
DOIs
Publication statusPublished - 25 Sep 2013

Keywords

  • chemical oscillators
  • stability
  • systems
  • phase
  • pair

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