n:m phase synchronization with mutual coupling phase signals

Chaos - Tập 12 Số 1 - Trang 100-106 - 2002
Jiale Chen1, Ka Wai Wong1, J. W. Shuai2
1Department of Computer Engineering and Information Technology, City University of Hong Kong, Hong Kong, People’s Republic of China
2Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701

Tóm tắt

We generalize the n:m phase synchronization between two chaotic oscillators by mutual coupling phase signals. To characterize this phenomenon, we use two coupled oscillators to demonstrate their phase synchronization with amplitudes practically noncorrelated. We take the 1:1 phase synchronization as an example to show the properties of mean frequencies, mean phase difference, and Lyapunov exponents at various values of coupling strength. The phase difference increases with 2π phase slips below the transition. The scaling rules of the slip near and away from the transition are studied. Furthermore, we demonstrate the transition to a variety of n:m phase synchronizations and analyze the corresponding coupling dynamics.

Từ khóa


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Chaos

Tập 12 Số 1

100-106

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