On a polytope containing all compact invariant sets for a class of natural polynomial Hamiltonian systems

Konstantin E. Starkov

doi:10.1142/S0218127411029550

On a polytope containing all compact invariant sets for a class of natural polynomial Hamiltonian systems

Konstantin E. Starkov

Centro de Investigación y Desarrollo de Tecnología Digital (CITEDI)

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

Abstract

In this paper we give sufficient conditions under which there exists a polytope containing all compact invariant sets for one class of natural polynomial Hamiltonian systems. As an example, we compute bounds of a polytope with this property for a class of natural polynomial Hamiltonian systems with a cubic potential and two degrees of freedom.

Original language	English
Pages (from-to)	1953-1958
Number of pages	6
Journal	International Journal of Bifurcation and Chaos
Volume	21
Issue number	7
DOIs	https://doi.org/10.1142/S0218127411029550
State	Published - Jul 2011

Keywords

Compact invariant set
Hamiltonian system
localization
polynomial

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10.1142/S0218127411029550

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abstract = "In this paper we give sufficient conditions under which there exists a polytope containing all compact invariant sets for one class of natural polynomial Hamiltonian systems. As an example, we compute bounds of a polytope with this property for a class of natural polynomial Hamiltonian systems with a cubic potential and two degrees of freedom.",

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AB - In this paper we give sufficient conditions under which there exists a polytope containing all compact invariant sets for one class of natural polynomial Hamiltonian systems. As an example, we compute bounds of a polytope with this property for a class of natural polynomial Hamiltonian systems with a cubic potential and two degrees of freedom.

KW - Compact invariant set

KW - Hamiltonian system

KW - localization

KW - polynomial

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JO - International Journal of Bifurcation and Chaos

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On a polytope containing all compact invariant sets for a class of natural polynomial Hamiltonian systems

Abstract

Keywords

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