Role of the Absorbing Area in Chaotic Synchronization

Yu.L. Maistrenko; V.L. Maistrenko; A. Popovich; Erik Mosekilde

doi:10.1103/PhysRevLett.80.1638

Role of the Absorbing Area in Chaotic Synchronization

Yu.L. Maistrenko, V.L. Maistrenko, A. Popovich, Erik Mosekilde

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Abstract

When two identical chaotic oscillators interact, one or more intervals of coupling parameters generally exist in which the synchronized state is weakly stable, and its basin of attraction is riddled with holes that are repelled from it. The paper discusses the role of the absorbing area for the emergence of local vs global riddling and for controlling the dynamics, once synchronization breaks down.

Original language	English
Journal	Physical Review Letters
Volume	80
Issue number	8
Pages (from-to)	1638-1641
ISSN	0031-9007
DOIs	https://doi.org/10.1103/PhysRevLett.80.1638
Publication status	Published - 1998

Bibliographical note

Copyright (1998) by the American Physical Society.

Keywords

ORBITS
SYSTEMS
ATTRACTOR
INTERMITTENCY
RIDDLED BASINS

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10.1103/PhysRevLett.80.1638

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