Partial synchronization in oscillator arrays with asymmetric coupling


Hillier D., Gunel S., Suykens J. A. K., Vandewalles J.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, vol.17, no.11, pp.4177-4185, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 11
  • Publication Date: 2007
  • Doi Number: 10.1142/s0218127407019718
  • Journal Name: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4177-4185
  • Keywords: synchronization, cluster, partial, symmetry, asymmetry, CNN, CHAOTIC OSCILLATORS, SYSTEMS, STABILITY, PHASE
  • Dokuz Eylül University Affiliated: Yes

Abstract

A new form of cluster synchronization is explored in cellular arrays of chaotic oscillators. Previously, it was shown in the literature that symmetries of the coupling topology with uniform interaction weights lead to several coexisting clusters of synchronized cells. In this study a new phenomenon is presented where highly asymmetric interaction weights can give rise to cluster synchronization regimes with partial synchronization. In addition, cluster or partial synchronization regimes corresponding to asymmetric interaction patterns can break the underlying symmetries of the network topology and boundary conditions at the expense of some residual synchronization error.