Stability of periodic clusters in globally coupled maps

The phenomenon of partial synchronization, — or clustering, — in a system of globally coupled C 1 - smooth maps is analyzed. We prove stability of equally populated K-clustered states with period-n temporal dynamics, referred to as PnCK-states. For this, we first obtain formulas giving relation b...

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Bibliographic Details
Date:2002
Main Authors: Panchuk, A.A., Maistrenko, Y.L.
Format: Article
Language:English
Published: Інститут математики НАН України 2002
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/175837
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Stability of periodic clusters in globally coupled maps / A.A. Panchuk, Y.L. Maistrenko // Нелінійні коливання. — 2002. — Т. 5, № 3. — С. 334-345. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine