Characteristics of phase slips near phase synchronization in coupled chaotic systems

Kim, Chil-Min; Kye, Won-Ho; Kim, In-Bo; Park, Young-Jai
February 2000
AIP Conference Proceedings;2000, Vol. 501 Issue 1, p181
Academic Journal
Near a phase synchronization region, the phase difference of two coupled chaotic oscillators exhibits phase jumps. For an example, the coupled Ro¨ssler oscillators exhibit 2π jumps, which is explained by using a potential shape of the phase related with type-I intermittency in the presence of noise. But, in our study, the two coupled hyperRo¨ssler oscillators exhibit ±2π jumps, which can not be explained in the previous way. So we suggest a general method to analyze the phenomenon which uses the return map of the phase equation and present the scaling relation of the phase jumps by using the scaling properties of the laminar length of intermittency in the presence of noise. © 2000 American Institute of Physics.


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