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Self-induced slow-fast dynamics and swept bifurcation diagrams in weakly desynchronized systems.

Authors
  • Zaks, Michael A
  • Park, Eun-Hyoung
  • Kurths, Jürgen
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Feb 01, 2002
Volume
65
Issue
2 Pt 2
Pages
26212–26212
Identifiers
PMID: 11863637
Source
Medline
License
Unknown

Abstract

In systems close to the state of phase synchronization, the fast timescale of oscillations interacts with the slow timescale of the phase drift. As a result, "fast" dynamics is subjected to a slow modulation, due to which an autonomous system under fixed parameter values can imitate repeated bifurcational transitions. We demonstrate the action of this general mechanism for a set of two coupled autonomous chaotic oscillators and for a chaotic system perturbed by a periodic external force. In both cases, the Poincaré sections of phase portraits resemble bifurcation diagram of a logistic mapping with time-dependent parameter.

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