Asymptotic theory of chaotic synchronization for dissipative-coupled dynamical systems

Nikolai N.  Verichev; Stanislav N.  Verichev; Marian Wiercigroch

doi:10.1016/j.chaos.2008.03.007

Asymptotic theory of chaotic synchronization for dissipative-coupled dynamical systems

Nikolai N. Verichev
, Stanislav N. Verichev
, Marian Wiercigroch

Delft University of Technology
Russian Academy of Sciences

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

6 Citations (Scopus)

Abstract

In this paper, a general asymptotic theory of synchronization of the chaotic oscillations for non-identical dissipative-coupled dynamical systems is proposed. The theory is based on the general definition of synchronization and on the method of integral manifolds. A number of different cases of non-identical dynamical systems and their couplings when the synchronization is asymptotically close to the identical one have been considered. This theory is mutually valid for the master and slave in synchronization of dynamical systems including the systems with slowly varying parameters. Theoretical findings are supported by the results of numerical simulation.

Original language	English
Pages (from-to)	752–763
Number of pages	12
Journal	Chaos, Solitons & Fractals
Volume	41
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2008.03.007
Publication status	Published - 30 Jul 2009

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title = "Asymptotic theory of chaotic synchronization for dissipative-coupled dynamical systems",

abstract = "In this paper, a general asymptotic theory of synchronization of the chaotic oscillations for non-identical dissipative-coupled dynamical systems is proposed. The theory is based on the general definition of synchronization and on the method of integral manifolds. A number of different cases of non-identical dynamical systems and their couplings when the synchronization is asymptotically close to the identical one have been considered. This theory is mutually valid for the master and slave in synchronization of dynamical systems including the systems with slowly varying parameters. Theoretical findings are supported by the results of numerical simulation.",

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AU - Verichev, Nikolai N.

AU - Verichev, Stanislav N.

AU - Wiercigroch, Marian

PY - 2009/7/30

Y1 - 2009/7/30

N2 - In this paper, a general asymptotic theory of synchronization of the chaotic oscillations for non-identical dissipative-coupled dynamical systems is proposed. The theory is based on the general definition of synchronization and on the method of integral manifolds. A number of different cases of non-identical dynamical systems and their couplings when the synchronization is asymptotically close to the identical one have been considered. This theory is mutually valid for the master and slave in synchronization of dynamical systems including the systems with slowly varying parameters. Theoretical findings are supported by the results of numerical simulation.

AB - In this paper, a general asymptotic theory of synchronization of the chaotic oscillations for non-identical dissipative-coupled dynamical systems is proposed. The theory is based on the general definition of synchronization and on the method of integral manifolds. A number of different cases of non-identical dynamical systems and their couplings when the synchronization is asymptotically close to the identical one have been considered. This theory is mutually valid for the master and slave in synchronization of dynamical systems including the systems with slowly varying parameters. Theoretical findings are supported by the results of numerical simulation.

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DO - 10.1016/j.chaos.2008.03.007

M3 - Article

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SP - 752

EP - 763

JO - Chaos, Solitons & Fractals

JF - Chaos, Solitons & Fractals

IS - 2

ER -

Asymptotic theory of chaotic synchronization for dissipative-coupled dynamical systems

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