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Title: ”Windows of Synchronization” and ”Non-chaotic Windows”
Authors: Lopes, Luís Mário
Fernandes, Sara
Grácio, Clara
Editors: Jarczyk, Witol
Fournier-Prunaret, Daniele
Gonçalves Cabral, João Manuel
Keywords: Couplings of chaotic dynamical systems
Complete synchronization
Delayed synchronization
Windows of synchronization
Non-chaotic windows
Issue Date: Dec-2014
Publisher: ESAIM: Proceedings and Surveys
Citation: Luís Mário Lopes, Sara Fernandes, Clara Grácio, ”Windows of Synchronization” and ”Non-chaotic Windows”, ESAIM: Proc. 46 163-176 (2014).
Abstract: The dynamic of a chaotic dynamical system changes if we couple it together 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”. We investigate the existence of this “window” for di↵erent dynamics and di↵erent couplings. We 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. We investigate one of these “windows”, the “fixed point non-chaotic window”, for the Symmetric Linear Coupling.
Type: article
Appears in Collections:MAT - Artigos em Livros de Actas/Proceedings

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