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ESAIM: Proceedings and Surveys
Article . 2014 . Peer-reviewed
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ESAIM: Proceedings and Surveys
Article . 2014
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”Windows of Synchronization” and ”Non-chaotic Windows”

Authors: Lopes Luís Mário; Fernandes Sara; Grácio Clara;

”Windows of Synchronization” and ”Non-chaotic Windows”

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 different dynamics and different 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.

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Keywords

non-chaotic windows, delayed synchronization, T57-57.97, Applied mathematics. Quantitative methods, windows of synchronization, QA1-939, complete synchronization, Mathematics, couplings of chaotic dynamical systems

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Published in a Diamond OA journal