Characteristic Relations of Type-I Intermittency in the Presence of Noise

Abstract

Near the point of tangent bifurcation, the scaling properties of the laminar length of type-I intermittency are investigated in the presence of noise. Based on analytic and numerical studies, we show that the scaling relation of the laminar length is dramatically deformed from $\frac{1}{\sqrt{\epsilon }}$ for $\epsilon >0$ to $\exp \{\frac{1}{D}|\epsilon {|}^{3/2}\}$ for $\epsilon <0$ as $\epsilon$ passes the bifurcation point $(\epsilon =0)$. The results explain why two coupled Rössler oscillators exhibit deformation of the scaling relation of the synchronous length in the nearly synchronous regime.

4 pages, 4 figures

References in corpus (1)

• Characteristic Relations of Type-III Intermittency in an Electronic Circuit

Cited by in corpus (8)

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• Periodic Phase Synchronization in coupled chaotic oscillators
• Phase Synchronization with Type-II Intermittency in Chaotic Oscillators
• Generalized Phase Synchronization in unidirectionally coupled chaotic oscillators
• Origin of the Transition Inside the Desynchronized State in Coupled Chaotic Oscillators