Localization of compact invariant sets of nonlinear systems with applications to the lanford system

Alexander P. Krishchenko; Konstantin E. Starkov

doi:10.1142/S0218127406016768

Localization of compact invariant sets of nonlinear systems with applications to the lanford system

Alexander P. Krishchenko, Konstantin E. Starkov

Centro de Investigación y Desarrollo de Tecnología Digital (CITEDI)

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29 Scopus citations

Abstract

In this paper, we examine the localization problem of compact invariant sets of systems with the differentiable right-side. The localization procedure consists in applying the iterative algorithm based on the first order extremum condition originally proposed by one of authors for periodic orbits. Analysis of a location of compact invariant sets of the Lanford system is realized for all values of its bifurcational parameter.

Original language	English
Pages (from-to)	3249-3256
Number of pages	8
Journal	International Journal of Bifurcation and Chaos
Volume	16
Issue number	11
DOIs	https://doi.org/10.1142/S0218127406016768
State	Published - Nov 2006

Keywords

Compact set
Invariant set
Lanford system
Localization
Nonlinear system

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abstract = "In this paper, we examine the localization problem of compact invariant sets of systems with the differentiable right-side. The localization procedure consists in applying the iterative algorithm based on the first order extremum condition originally proposed by one of authors for periodic orbits. Analysis of a location of compact invariant sets of the Lanford system is realized for all values of its bifurcational parameter.",

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

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N2 - In this paper, we examine the localization problem of compact invariant sets of systems with the differentiable right-side. The localization procedure consists in applying the iterative algorithm based on the first order extremum condition originally proposed by one of authors for periodic orbits. Analysis of a location of compact invariant sets of the Lanford system is realized for all values of its bifurcational parameter.

AB - In this paper, we examine the localization problem of compact invariant sets of systems with the differentiable right-side. The localization procedure consists in applying the iterative algorithm based on the first order extremum condition originally proposed by one of authors for periodic orbits. Analysis of a location of compact invariant sets of the Lanford system is realized for all values of its bifurcational parameter.

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KW - Invariant set

KW - Lanford system

KW - Localization

KW - Nonlinear system

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JO - International Journal of Bifurcation and Chaos

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Localization of compact invariant sets of nonlinear systems with applications to the lanford system

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Keywords

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