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Synchronization in systems with bimodal dynamics

✍ Scribed by A.P. Kuznetsov; E. Mosekilde; L.V. Turukina

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
763 KB
Volume
371
Category
Article
ISSN
0378-4371

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✦ Synopsis

Considering a prototypic model of a bimodal oscillator we investigate the synchronization of the internal time scales for a system with interacting fast and slow oscillatory modes. Particular emphasis is given to the transition between modelocked and mode-unlocked chaos. It is shown that this transition involves a homoclinic bifurcation in which the synchronized chaotic attractor loses its band structure. For two coupled bimodal oscillators we illustrate the presence of separate synchronization regions for the fast and the slow modes. The dependence of these regions on the mismatch and coupling parameters is studied.

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