Phase synchronization of chaotic oscillations in terms of periodic orbits
- 1 December 1997
- journal article
- research article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 7 (4) , 680-687
- https://doi.org/10.1063/1.166265
Abstract
We consider phase synchronization of chaotic continuous-time oscillator by periodic external force. Phase-locking regions are defined for unstable periodic cycles embedded in chaos, and synchronization is described in terms of these regions. A special flow construction is used to derive a simple discrete-time model of the phenomenon. It allows to describe quantitatively the intermittency at the transition to phase synchronization.Keywords
This publication has 20 references indexed in Scilit:
- Riddling Bifurcation in Chaotic Dynamical SystemsPhysical Review Letters, 1996
- Synchronization in a population of globally coupled chaotic oscillatorsEurophysics Letters, 1996
- Generalized Synchronization, Predictability, and Equivalence of Unidirectionally Coupled Dynamical SystemsPhysical Review Letters, 1996
- Phase Synchronization of Chaotic OscillatorsPhysical Review Letters, 1996
- Generalized synchronization of chaos in directionally coupled chaotic systemsPhysical Review E, 1995
- Symmetry breaking bifurcation for coupled chaotic attractorsJournal of Physics A: General Physics, 1991
- Synchronization in chaotic systemsPhysical Review Letters, 1990
- Quasiperiodically Forced Damped Pendula and Schrödinger Equations with Quasiperiodic Potentials: Implications of Their EquivalencePhysical Review Letters, 1985
- Super persistent chaotic transientsErgodic Theory and Dynamical Systems, 1985
- Fractal Basin Boundaries, Long-Lived Chaotic Transients, and Unstable-Unstable Pair BifurcationPhysical Review Letters, 1983