Measuring phase synchronization in periodically driven Lü oscillator with a phase-incoherent attractor

A signal-based synchronization coefficient is proposed to quantify phase synchronization in the periodically driven Lü system, which is a phase-incoherent chaotic system. Phase synchronization is verified in advance using some traditional methods, and the relevant results are compared with those obt...

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Bibliographic Details
Published in:Nonlinear dynamics 2016-10, Vol.86 (1), p.227-234
Main Authors: Hung, Yao-Chen, Hsu, Tzu-Fang
Format: Article
Language:English
Subjects:
Automotive Engineering
Chaos theory
Classical Mechanics
Coefficients
Control
Dynamical Systems
Engineering
Entropy (Information theory)
Hilbert transformation
Mechanical Engineering
Original Paper
Phase transitions
Synchronism
Vibration
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Summary:A signal-based synchronization coefficient is proposed to quantify phase synchronization in the periodically driven Lü system, which is a phase-incoherent chaotic system. Phase synchronization is verified in advance using some traditional methods, and the relevant results are compared with those obtained using the proposed synchronization coefficient. The coefficient is determined by a series of scenarios, which are signal decomposition based on empirical mode decomposition, phase transformation based on the Hilbert transform, and degree quantification based on Shannon entropy. The route to phase synchronization is demonstrated to be well characterized without prior knowledge of the formulation or the attractor structure of Lü system.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-016-2884-0