Identical synchronization of coupled Rossler systems

S. Yanchuk, Y. Maistrenko, Erik Mosekilde

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

Analyzing the transverse stability of low periodic orbits embedded in the synchronized chaotic state for a system of two coupled Rössler oscillators, we obtain the conditions for synchronization and determine the coupling parameters for which riddled basins of attraction may arise. It is shown how the structure of these basins can be explained in terms of the transitivity for the Rössler chaotic attractor.
Original languageEnglish
Title of host publicationProceedings of the 7th International Specialist Workshop on Nonlinear Dynamics of Electronic Systems
PublisherTechnical University of Denmark
Publication date1999
Pages261-264
ISBN (Print)3860052306
Publication statusPublished - 1999
EventProceedings of Nonlinear Dynamics of Electronic Systems 1999. International Specialist Workshop - Rønne, Denmark
Duration: 1 Jan 1999 → …

Conference

ConferenceProceedings of Nonlinear Dynamics of Electronic Systems 1999. International Specialist Workshop
CityRønne, Denmark
Period01/01/1999 → …

Cite this

Yanchuk, S., Maistrenko, Y., & Mosekilde, E. (1999). Identical synchronization of coupled Rossler systems. In Proceedings of the 7th International Specialist Workshop on Nonlinear Dynamics of Electronic Systems (pp. 261-264). Technical University of Denmark.
Yanchuk, S. ; Maistrenko, Y. ; Mosekilde, Erik. / Identical synchronization of coupled Rossler systems. Proceedings of the 7th International Specialist Workshop on Nonlinear Dynamics of Electronic Systems. Technical University of Denmark, 1999. pp. 261-264
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title = "Identical synchronization of coupled Rossler systems",
abstract = "Analyzing the transverse stability of low periodic orbits embedded in the synchronized chaotic state for a system of two coupled R{\"o}ssler oscillators, we obtain the conditions for synchronization and determine the coupling parameters for which riddled basins of attraction may arise. It is shown how the structure of these basins can be explained in terms of the transitivity for the R{\"o}ssler chaotic attractor.",
author = "S. Yanchuk and Y. Maistrenko and Erik Mosekilde",
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Yanchuk, S, Maistrenko, Y & Mosekilde, E 1999, Identical synchronization of coupled Rossler systems. in Proceedings of the 7th International Specialist Workshop on Nonlinear Dynamics of Electronic Systems. Technical University of Denmark, pp. 261-264, Proceedings of Nonlinear Dynamics of Electronic Systems 1999. International Specialist Workshop, Rønne, Denmark, 01/01/1999.

Identical synchronization of coupled Rossler systems. / Yanchuk, S.; Maistrenko, Y.; Mosekilde, Erik.

Proceedings of the 7th International Specialist Workshop on Nonlinear Dynamics of Electronic Systems. Technical University of Denmark, 1999. p. 261-264.

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

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T1 - Identical synchronization of coupled Rossler systems

AU - Yanchuk, S.

AU - Maistrenko, Y.

AU - Mosekilde, Erik

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N2 - Analyzing the transverse stability of low periodic orbits embedded in the synchronized chaotic state for a system of two coupled Rössler oscillators, we obtain the conditions for synchronization and determine the coupling parameters for which riddled basins of attraction may arise. It is shown how the structure of these basins can be explained in terms of the transitivity for the Rössler chaotic attractor.

AB - Analyzing the transverse stability of low periodic orbits embedded in the synchronized chaotic state for a system of two coupled Rössler oscillators, we obtain the conditions for synchronization and determine the coupling parameters for which riddled basins of attraction may arise. It is shown how the structure of these basins can be explained in terms of the transitivity for the Rössler chaotic attractor.

M3 - Article in proceedings

SN - 3860052306

SP - 261

EP - 264

BT - Proceedings of the 7th International Specialist Workshop on Nonlinear Dynamics of Electronic Systems

PB - Technical University of Denmark

ER -

Yanchuk S, Maistrenko Y, Mosekilde E. Identical synchronization of coupled Rossler systems. In Proceedings of the 7th International Specialist Workshop on Nonlinear Dynamics of Electronic Systems. Technical University of Denmark. 1999. p. 261-264