"WINDOWS OF SYNCHRONIZATION" AND "NON-CHAOTIC WINDOWS"

The dynamic of a chaotic dynamical system changes if it is coupled with another one. The changes depend on the dynamic of the systems and on the way the coupling is made. The strength of the coupling is controlled by the coupling strength constant. For some values of this constant synchronization ma...

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Bibliographic Details
Published inESAIM. Proceedings Vol. 46; p. 163
Main Authors Lopes, Luis Mario, Fernandes, Sara, Gracio, Clara
Format Journal Article
LanguageEnglish
Published 01.11.2014
Subjects
Constants
Couplings
Dynamical systems
Dynamics
Joining
Strength
Synchronism
Synchronization
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Summary:The dynamic of a chaotic dynamical system changes if it is coupled with another one. The changes depend on the dynamic of the systems and on the way the coupling is made. The strength of the coupling is controlled by the coupling strength constant. For some values of this constant synchronization may occur, defining a "window of synchronization". The authors investigate the existence of this "window" for different dynamics and different couplings. The authors verify that other "windows" may occur. They are related to the fact that some couplings seem to confine drastically the chaotic behavior of the dynamical systems. The authors investigate one of these "windows", the fixed point non-chaotic window", for the Symmetric Linear Coupling.
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ISSN:1270-900X
1270-900X