Multivalued mappings in generalized chaos synchronization

Nikolai F. Rulkov; Valentin S. Afraimovich; Clifford Tureman Lewis; Jean Rene Chazottes; Albert Cordonet

doi:10.1103/PhysRevE.64.016217

Multivalued mappings in generalized chaos synchronization

Nikolai F. Rulkov, Valentin S. Afraimovich, Clifford Tureman Lewis, Jean Rene Chazottes, Albert Cordonet

Research output: Contribution to journal › Article › peer-review

Abstract

The issue of generalized synchronization arising in studies of chaos synchronization with a frequency ratio other than 1:1 is addressed. It is shown how the theory of continuous functions can be extended to cases of chaos synchrony with frequency ratio other than 1:1, where the synchronization mapping can become multivalued.

Original language	English
Article number	016217
Pages (from-to)	1-11
Number of pages	11
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	64
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.64.016217
Publication status	Published - 1 Jan 2001
Externally published	Yes

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10.1103/PhysRevE.64.016217

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title = "Multivalued mappings in generalized chaos synchronization",

abstract = "The issue of generalized synchronization arising in studies of chaos synchronization with a frequency ratio other than 1:1 is addressed. It is shown how the theory of continuous functions can be extended to cases of chaos synchrony with frequency ratio other than 1:1, where the synchronization mapping can become multivalued.",

author = "Rulkov, \{Nikolai F.\} and Afraimovich, \{Valentin S.\} and Lewis, \{Clifford Tureman\} and Chazottes, \{Jean Rene\} and Albert Cordonet",

year = "2001",

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doi = "10.1103/PhysRevE.64.016217",

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AU - Rulkov, Nikolai F.

AU - Afraimovich, Valentin S.

AU - Lewis, Clifford Tureman

AU - Chazottes, Jean Rene

AU - Cordonet, Albert

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AB - The issue of generalized synchronization arising in studies of chaos synchronization with a frequency ratio other than 1:1 is addressed. It is shown how the theory of continuous functions can be extended to cases of chaos synchrony with frequency ratio other than 1:1, where the synchronization mapping can become multivalued.

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DO - 10.1103/PhysRevE.64.016217

M3 - Article

AN - SCOPUS:84983708345

SN - 1539-3755

VL - 64

SP - 1

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JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 1

M1 - 016217

ER -

Multivalued mappings in generalized chaos synchronization

Abstract

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