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Synchronization in driven chaotic systems: Diagnostics and bifurcations

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
253
Identifiers
DOI: 10.1016/s0375-9601(99)00023-7
Keywords
  • Nonlinear Science
Disciplines
  • Medicine

Abstract

Abstract We investigate generic aspects of chaos synchronization in an externally forced Rössler system. By comparing different diagnostic methods, we show the existence of a well-defined cut-off of synchronization associated with the transition from weak to fully developed chaos. Chaotic synchronization is found to be lost at this cut-off only after the last band-merging bifurcation has occurred. Everywhere at the boundary of phase synchronization, one of the Lyapunov exponents becomes equal to zero. Two types of chaotic behavior, differing by the number of vanishing Lyapunov exponents, are observed outside the synchronization region.

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