Two-mode chaos and its synchronization properties

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

Two-mode chaos and its synchronization properties

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

Renal and Vascular Research

5 Citations (Scopus)

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 (Statistical, Nonlinear, and Soft Matter Physics)
Volume	72
Issue number	5 Pt 2
Pages (from-to)	056208
ISSN	1539-3755
Publication status	Published - 1 Nov 2005

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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.",

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N2 - 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.

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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SP - 056208

JO - Physical Review E

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Two-mode chaos and its synchronization properties

Abstract

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