Adaptive synchronization between chaotic dynamical systems of different order.

Physics

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Rights statement: NOTICE: this is the author’s version of a work that was accepted for publication in Physics Letters A. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physics Letters A, 358, 2, 2006 DOI http://dx.doi.org/10.1016/j.physleta.2006.05.006
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Keywords

Adaptive synchronization, Reduced-order synchronization, Lyapunov stability theory, Matsumoto–Chua–Kobayashi circuit, Chua's circuit

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Adaptive synchronization between chaotic dynamical systems of different order. / Bowong, Samuel; McClintock, Peter V. E.
In: Physics Letters A, Vol. 358, No. 2, 09.10.2006, p. 134-141.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Bibtex

@article{bdf9299cd3d040f6884deabbf167e857,

title = "Adaptive synchronization between chaotic dynamical systems of different order.",

abstract = "This Letter discusses the synchronization between two chaotic dynamical systems of different order, using an adaptive control scheme. The problem is closely related to the synchronization of strictly different chaotic systems. We show that the dynamical evolution of a fourth-order system can be synchronized with the canonical projections of a third-order system. In this sense, it may be said that the synchronization is achieved in reduced order, where by order we means the number of first order differential equations. The mathematical stability analysis is derived from the Lyapunov stability theory. Numerical simulations are presented to show the effectiveness and feasibility of the proposed scheme.",

keywords = "Adaptive synchronization, Reduced-order synchronization, Lyapunov stability theory, Matsumoto–Chua–Kobayashi circuit, Chua's circuit",

author = "Samuel Bowong and McClintock, {Peter V. E.}",

note = "NOTICE: this is the author{\textquoteright}s version of a work that was accepted for publication in Physics Letters A. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physics Letters A, 358, 2, 2006 DOI http://dx.doi.org/10.1016/j.physleta.2006.05.006",

year = "2006",

month = oct,

day = "9",

doi = "10.1016/j.physleta.2006.05.006",

language = "English",

volume = "358",

pages = "134--141",

journal = "Physics Letters A",

issn = "0375-9601",

publisher = "Elsevier",

number = "2",

}

RIS

TY - JOUR

T1 - Adaptive synchronization between chaotic dynamical systems of different order.

AU - Bowong, Samuel

AU - McClintock, Peter V. E.

N1 - NOTICE: this is the author’s version of a work that was accepted for publication in Physics Letters A. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physics Letters A, 358, 2, 2006 DOI http://dx.doi.org/10.1016/j.physleta.2006.05.006

PY - 2006/10/9

Y1 - 2006/10/9

N2 - This Letter discusses the synchronization between two chaotic dynamical systems of different order, using an adaptive control scheme. The problem is closely related to the synchronization of strictly different chaotic systems. We show that the dynamical evolution of a fourth-order system can be synchronized with the canonical projections of a third-order system. In this sense, it may be said that the synchronization is achieved in reduced order, where by order we means the number of first order differential equations. The mathematical stability analysis is derived from the Lyapunov stability theory. Numerical simulations are presented to show the effectiveness and feasibility of the proposed scheme.

AB - This Letter discusses the synchronization between two chaotic dynamical systems of different order, using an adaptive control scheme. The problem is closely related to the synchronization of strictly different chaotic systems. We show that the dynamical evolution of a fourth-order system can be synchronized with the canonical projections of a third-order system. In this sense, it may be said that the synchronization is achieved in reduced order, where by order we means the number of first order differential equations. The mathematical stability analysis is derived from the Lyapunov stability theory. Numerical simulations are presented to show the effectiveness and feasibility of the proposed scheme.

KW - Adaptive synchronization

KW - Reduced-order synchronization

KW - Lyapunov stability theory

KW - Matsumoto–Chua–Kobayashi circuit

KW - Chua's circuit

U2 - 10.1016/j.physleta.2006.05.006

DO - 10.1016/j.physleta.2006.05.006

M3 - Journal article

VL - 358

SP - 134

EP - 141

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 2

ER -

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