Delay-induced synchrony in complex networks with conjugate coupling

M. Manju Shrii, D. V. Senthilkumar, and J. Kurths
Phys. Rev. E 85, 057203 – Published 22 May 2012

Abstract

We demonstrate stable synchronous chaos in a delay coupled network of time continuous dynamical system using the framework of master stability formalism (MSF). It is further shown that conjugate coupling, i.e., coupling using dissimilar variables, can substitute delay coupling of similar variables in retrieving delay-induced phenomena. By exploiting the MSF, we show that delayed conjugate coupling in an arbitrary network is capable of both inducing synchronization where there is no synchronization at all and enhancing synchronization to a large parameter space, which even the conjugate coupling without delay is incapable of. The above results are demonstrated using the paradigmatic Rössler system and Hindmarsh-Rose neuron.

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  • Received 8 December 2011

DOI:https://doi.org/10.1103/PhysRevE.85.057203

©2012 American Physical Society

Authors & Affiliations

M. Manju Shrii1,2, D. V. Senthilkumar2, and J. Kurths1,2,3

  • 1Institute for Physics, Humboldt University, 12489 Berlin, Germany
  • 2Potsdam Institute for Climate Impact Research, 14473 Potsdam, Germany
  • 3Institute for Complex Systems and Mathematical Biology, University of Aberdeen, United Kingdom

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Issue

Vol. 85, Iss. 5 — May 2012

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