Frequency locking by external force from a dynamical system with strange nonchaotic attractor |
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Affiliation: | 1. Temasek Laboratories, National University of Singapore, 5 Sports Drive 2, 117508 Singapore;2. Beijing–Hong Kong–Singapore Joint Center of Nonlinear and Complex Systems (Singapore), National University of Singapore, Singapore;3. Department of Physics, National University of Singapore, 117543 Singapore |
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Abstract: | Usually, phase synchronization is studied in chaotic systems driven by either periodic force or chaotic force. In the present work, we consider frequency locking in chaotic Rössler oscillator by a special driving force from a dynamical system with a strange nonchaotic attractor. In this case, a transition from generalized marginal synchronization to frequency locking is observed. We investigate the bifurcation of the dynamical system and explain why generalized marginal synchronization can occur in this model. |
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