Complex behavior of chaotic synchronization under dual coupling channels

Wenchao Yang, Zi Gang Huang, Xingang Wang, Liang Huang, Lei Yang, Ying-Cheng Lai

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


Most previous works on complete synchronization of chaotic oscillators focused on the one-channel interaction scheme where the oscillators are coupled through only one variable or a symmetric set of variables. Using the standard framework of master-stability function (MSF), we investigate the emergence of complex synchronization behaviors under all possible configurations of two-channel coupling, which include, for example, all possible cross coupling schemes among the dynamical variables. Utilizing the classic Rössler and Lorenz oscillators, we find a rich variety of synchronization phenomena not present in any previously extensively studied, single-channel coupling configurations. For example, in many cases two coupling channels can enhance or even generate synchronization where there is only weak or no synchronization under only one coupling channel, which has been verified in a coupled neuron system. There are also cases where the oscillators are originally synchronized under one coupling channel, but an additional synchronizable coupling channel can, however, destroy synchronization. Direct numerical simulations of actual synchronization dynamics verify the MSF-based predictions. Our extensive computation and heuristic analysis provide an atlas for synchronization of chaotic oscillators coupled through two channels, which can be used as a systematic reference to facilitate further research in this area.

Original languageEnglish (US)
Article number023055
JournalNew Journal of Physics
StatePublished - Feb 18 2015


  • dual channel coupling
  • master stability function
  • synchronization

ASJC Scopus subject areas

  • General Physics and Astronomy


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