25 May 2004 Noise-induced order in type-I intermittency
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Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004) https://doi.org/10.1117/12.546459
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain
Abstract
We study the dynamics of a pair of two uncoupled identical chaotic elements driven by common noise. When each element exhibits type-I intermittency, we observe that two uncoupled elements synchronize each other after a finite time of interval for a certain range of the noise intensity. In order to clarify the mechanism of this noise-induced synchronization phenomenon, we focus on the effect of external noise on the fluctuation of the local expansion rate of orbits to perturbations of type-I intermittency. It is found that the probability that the finite-time Liapunov exponent (FTLE) takes a negative value may increase due to the introduction of noise, whereas the Liapunov exponent itself remains to be positive. We show that this noise-induced enhancement of fluctuation may cause the synchronization and also discuss the relation between the statistical properties of relaxation process of the synchronization and the fluctuation properties of FTLE in terms of the thermodynamic formalism.
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Hiromichi Suetani, Takehiko Horita, Shin Mizutani, "Noise-induced order in type-I intermittency", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); doi: 10.1117/12.546459; https://doi.org/10.1117/12.546459
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