PMID: 11308748Apr 20, 2001Paper

Phase signal coupling induced n:m phase synchronization in drive-response oscillators

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
J Y ChenJ W Shuai

Abstract

We have studied phase synchronization between two identical Rössler oscillators connected in the drive-response configuration by a single phase signal. Before the transition to phase synchronization, the distribution of the time interval between consecutive 2pi jumps shows several sharp peaks. With a strong phase signal coupling, the n:m phase synchronization between the oscillators can be achieved. For the n (not equal) m phase synchronizing state, some values of coupling strength result in a phenomenon characterized by a reduction in the mean amplitude of the response termed amplitude reduction. In these regions, the mean rotation speed of the response remains approximately constant while the locking ratio n:m varies.

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Citations

Jun 5, 2003·Chaos·J. Y. ChenJ. W. Shuai
Apr 5, 2003·Chaos·Margaret Beck, Kresimir Josić
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jack Waddell, Michal Zochowski
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J Y ChenJ W Shuai
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Johannes SchumacherGordon Pipa

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