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Synchronization in systems with bimodal dynamics |
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| Affiliation: | 1. Department of Otolaryngology Head and Neck Surgery, Beijing Friendship Hospital, Capital Medical University, Beijing 100050, China;2. Department of Otology, Shengjing Hospital of China Medical University, Shenyang 110004, China;1. Department of Neuroscience, City University of Hong Kong, Hong Kong SAR;2. Department of Physiology, Anatomy and Genetics, University of Oxford, Oxford, UK |
| Abstract: | 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 mode-locked 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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