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Generalized synchronization of complex networks

Yun Shang1, Maoyin Chen2, and Jürgen Kurths3

  • 1Institute of Mathematics, AMSS, Academia Sinica, Beijing 100080, China
  • 2Department of Automation, TNlist, Tsinghua University, Beijing 100084, China
  • 3Institute of Physics, Humboldt University, 10099 Berlin, Germany

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Phys. Rev. E 80, 027201 – Published 12 August, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.027201

Abstract

We consider generalized synchronization of complex networks, which are unidirectionally coupled in the drive-response configuration. The drive network consists of linearly and diffusively coupled identical chaotic systems. By choosing suitable driving signals, we can construct the response network to generally synchronize the drive network in a predefined functional relationship. This extends both generalized synchronization of chaotic systems and synchronization inside a network. Theoretical analysis and numerical simulations fully verify our main results.

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Phys. Rev. E 80, 027201– Published 12 August, 2009
  • Received 16 April 2009

© 2009 American Physical Society

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