Synchronization of phase slips in chaotic map

Kenichi Arai; Shin Mizutani

doi:10.1117/12.546662

25 May 2004 Synchronization of phase slips in chaotic map

Kenichi Arai, Shin Mizutani

Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004) https://doi.org/10.1117/12.546662
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

Abstract

We show that when paced chaotic oscillators, which can be flows or maps, are coupled appropriately, phase slips produced by each oscillator are synchronized. If a periodically driven chaotic oscillator strays from a phase synchronization region, the phase difference between the oscillator and the pacer jumps intermittently by 2π, which is called a phase slip. When two sinusoidally forced Roessler oscillators are coupled appropriately, phase slips produced by the two oscillators occur simultaneously, that is the phase slips are synchronized. We also show that if the coupled oscillator deviates slightly from the slip synchronization region, a portion of the simultaneous phase slips are desynchronized, namely only one of the two oscillators produces a phase slip. Such phenomena as synchronized phase slips and partially synchronized phase slips can be reproduced by a coupled map system. We investigate some statistical properties and dynamical structures of the phenomena by investigating the coupled map system.

Citation Download Citation

Kenichi Arai and Shin Mizutani "Synchronization of phase slips in chaotic map", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); https://doi.org/10.1117/12.546662

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