Two-mode chaos and its synchronization  properties

D.E. Postnov; A.V. Shishkin; Olga Sosnovtseva; Erik Mosekilde

doi:10.1103/PhysRevE.72.056208

Two-mode chaos and its synchronization properties

D.E. Postnov, A.V. Shishkin, Olga Sosnovtseva, Erik Mosekilde

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Abstract

Using a simple model with bimodal dynamics, we investigate the intra- and inter-system entrainment of the two different time scales involved in the chaotic oscillations. The transition between mode-locked and mode-unlocked chaos is analyzed for a single system. For coupled oscillators, we demonstrate full and partial synchronization patterns depending on the adjustment between the fast and slow time scales and reveal the embedded structure of the corresponding synchronization regions.

Original language	English
Journal	Physical Review E
Volume	72
Issue number	5
Pages (from-to)	056208
ISSN	2470-0045
DOIs	https://doi.org/10.1103/PhysRevE.72.056208
Publication status	Published - 2005

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AB - Using a simple model with bimodal dynamics, we investigate the intra- and inter-system entrainment of the two different time scales involved in the chaotic oscillations. The transition between mode-locked and mode-unlocked chaos is analyzed for a single system. For coupled oscillators, we demonstrate full and partial synchronization patterns depending on the adjustment between the fast and slow time scales and reveal the embedded structure of the corresponding synchronization regions.

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