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Chaos : Complete periodic synchronization in coupled systems

By Wei Zou and Meng Zhan

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Book Id: WPLBN0002169297
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 17 November 2008

Title: Chaos : Complete periodic synchronization in coupled systems  
Author: Wei Zou and Meng Zhan
Volume: Issue : November 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Chaos Collection
Publication Date:
Publisher: American Institute of Physics


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And Meng Zhan, W. Z. (n.d.). Chaos : Complete periodic synchronization in coupled systems. Retrieved from

Description: Recently, complete chaotic synchronization in coupled systems has been well studied. In this paper, we study complete synchronization in coupled periodic oscillators with diffusive and gradient couplings. Eight typical types of critical curve for the transverse Lyapunov exponent of standard mode, which give rise to different synchronization-desynchronization patterns, are classified. All possible desynchronous behaviors including steady state, periodic state, quasiperiodic state, low-dimensional chaotic state, and two types of high-dimensional chaotic state are identified, and two classical synchronization-desynchronizaiton bifurcations—the shortest wavelength bifurcation and Hopf bifurcation from synchronous periodic state—are classified.


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