Localization of compact invariant sets of nonlinear time-varying systems

Alexander P. Krishchenko; Konstantin E. Starkov

doi:10.1142/S021812740802121X

Localization of compact invariant sets of nonlinear time-varying systems

Alexander P. Krishchenko, Konstantin E. Starkov

Centro de Investigación y Desarrollo de Tecnología Digital (CITEDI)

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

28 Scopus citations

Abstract

In this paper we examine the localization problem of compact invariant sets of nonlinear time-varying systems with the differentiable right-side. We extend our results respecting the localization problem obtained earlier for time-invariant systems and apply them to a damped driven pendulum and the Vallis model with regard to the seasonal cycle.

Original language	English
Pages (from-to)	1599-1604
Number of pages	6
Journal	International Journal of Bifurcation and Chaos
Volume	18
Issue number	5
DOIs	https://doi.org/10.1142/S021812740802121X
State	Published - May 2008

Keywords

Compact set
Invariant set
Localization
Nonlinear system
Time-varying system

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10.1142/S021812740802121X

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title = "Localization of compact invariant sets of nonlinear time-varying systems",

abstract = "In this paper we examine the localization problem of compact invariant sets of nonlinear time-varying systems with the differentiable right-side. We extend our results respecting the localization problem obtained earlier for time-invariant systems and apply them to a damped driven pendulum and the Vallis model with regard to the seasonal cycle.",

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author = "Krishchenko, {Alexander P.} and Starkov, {Konstantin E.}",

note = "Funding Information: The work of the first author was supported by Grant 05-01-00840 from the Russian Foundation for the Basic Research.",

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AU - Starkov, Konstantin E.

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Y1 - 2008/5

N2 - In this paper we examine the localization problem of compact invariant sets of nonlinear time-varying systems with the differentiable right-side. We extend our results respecting the localization problem obtained earlier for time-invariant systems and apply them to a damped driven pendulum and the Vallis model with regard to the seasonal cycle.

AB - In this paper we examine the localization problem of compact invariant sets of nonlinear time-varying systems with the differentiable right-side. We extend our results respecting the localization problem obtained earlier for time-invariant systems and apply them to a damped driven pendulum and the Vallis model with regard to the seasonal cycle.

KW - Compact set

KW - Invariant set

KW - Localization

KW - Nonlinear system

KW - Time-varying system

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U2 - 10.1142/S021812740802121X

DO - 10.1142/S021812740802121X

M3 - Artículo

SN - 0218-1274

VL - 18

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EP - 1604

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 5

ER -

Localization of compact invariant sets of nonlinear time-varying systems

Abstract

Keywords

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