Source:http://linkedlifedata.com/resource/pubmed/id/11461377
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| Predicate | Object |
|---|---|
| rdf:type | |
| lifeskim:mentions | |
| pubmed:issue |
1 Pt 2
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| pubmed:dateCreated |
2001-7-19
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| pubmed:abstractText |
The onset of generalized synchronization of chaos in directionally coupled systems corresponds to the formation of a continuous mapping that enables one to persistently define the state of the response system from the trajectory of the drive system. A recently developed theory of generalized synchronization of chaos deals only with the case where this synchronization mapping is a single-valued function. In this paper, we explore generalized synchronization in a regime where the synchronization mapping can become a multivalued function. Specifically, we study the properties of the multivalued mapping that occurs between the drive and response systems when the systems are synchronized with a frequency ratio other than one-to-one, and address the issues of the existence and continuity of such mappings. The basic theoretical framework underlying the considered synchronization regimes is then developed.
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| pubmed:language |
eng
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| pubmed:journal | |
| pubmed:status |
PubMed-not-MEDLINE
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| pubmed:month |
Jul
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| pubmed:issn |
1539-3755
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| pubmed:author | |
| pubmed:issnType |
Print
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| pubmed:volume |
64
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| pubmed:owner |
NLM
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| pubmed:authorsComplete |
Y
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| pubmed:pagination |
016217
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| pubmed:year |
2001
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| pubmed:articleTitle |
Multivalued mappings in generalized chaos synchronization.
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| pubmed:affiliation |
Institute for Nonlinear Science, University of California, San Diego, La Jolla, California 92093-0402, USA.
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| pubmed:publicationType |
Journal Article
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