Abstract

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
Volume17
DOIs
StatePublished - Feb 18 2015

Fingerprint

synchronism
oscillators
cross coupling
configurations
neurons
direct numerical simulation
predictions
interactions

Keywords

  • dual channel coupling
  • master stability function
  • synchronization

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Complex behavior of chaotic synchronization under dual coupling channels. / Yang, Wenchao; Huang, Zi Gang; Wang, Xingang; Huang, Liang; Yang, Lei; Lai, Ying-Cheng.

In: New Journal of Physics, Vol. 17, 023055, 18.02.2015.

Research output: Contribution to journalArticle

Yang, Wenchao ; Huang, Zi Gang ; Wang, Xingang ; Huang, Liang ; Yang, Lei ; Lai, Ying-Cheng. / Complex behavior of chaotic synchronization under dual coupling channels. In: New Journal of Physics. 2015 ; Vol. 17.
@article{4f52aa7e85414d038dbab1fe92a1aeef,
title = "Complex behavior of chaotic synchronization under dual coupling channels",
abstract = "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 R{\"o}ssler 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.",
keywords = "dual channel coupling, master stability function, synchronization",
author = "Wenchao Yang and Huang, {Zi Gang} and Xingang Wang and Liang Huang and Lei Yang and Ying-Cheng Lai",
year = "2015",
month = "2",
day = "18",
doi = "10.1088/1367-2630/17/2/023055",
language = "English (US)",
volume = "17",
journal = "New Journal of Physics",
issn = "1367-2630",
publisher = "IOP Publishing Ltd.",

}

TY - JOUR

T1 - Complex behavior of chaotic synchronization under dual coupling channels

AU - Yang, Wenchao

AU - Huang, Zi Gang

AU - Wang, Xingang

AU - Huang, Liang

AU - Yang, Lei

AU - Lai, Ying-Cheng

PY - 2015/2/18

Y1 - 2015/2/18

N2 - 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.

AB - 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.

KW - dual channel coupling

KW - master stability function

KW - synchronization

UR - http://www.scopus.com/inward/record.url?scp=84924299907&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84924299907&partnerID=8YFLogxK

U2 - 10.1088/1367-2630/17/2/023055

DO - 10.1088/1367-2630/17/2/023055

M3 - Article

AN - SCOPUS:84924299907

VL - 17

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 023055

ER -