Global generalized synchronization in networks of different time-delay systems

D. V. Senthilkumar*, R. Suresh, M. Lakshmanan, J. Kurths

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We show that global generalized synchronization (GS) exists in structurally different time-delay systems, even with different orders, with quite different fractal (Kaplan-Yorke) dimensions, which emerges via partial GS in symmetrically coupled regular networks. We find that there exists a smooth transformation in such systems, which maps them to a common GS manifold as corroborated by their maximal transverse Lyapunov exponent. In addition, an analytical stability condition using the Krasvoskii-Lyapunov theory is deduced. This phenomenon of GS in strongly distinct systems opens a new way for an effective control of pathological synchronous activity by means of extremely small perturbations to appropriate variables in the synchronization manifold. Copyright (C) EPLA, 2013

Original languageEnglish
Article number50010
Number of pages6
JournalEurophysics Letters
Volume103
Issue number5
DOIs
Publication statusPublished - 30 Sep 2013

Keywords

  • coupled chaotic systems
  • phase synchronization

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