Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential

Jaume Llibre; Luci Roberto

doi:https://doi.org/10.1007/s10509-012-1210-7

Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential

Jaume Llibre, Luci Roberto

Department of Mathematics

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

12 Citations (Scopus)

Abstract

In this paper we study the periodic orbits of the Hamiltonian system with the Armburster-Guckenheimer-Kim potential and its C1 non-integrability in the sense of Liouville-Arnold. © 2012 Springer Science+Business Media B.V.

Original language	English
Pages (from-to)	69-74
Journal	Astrophysics and Space Science
Volume	343
Issue number	1
DOIs	https://doi.org/10.1007/s10509-012-1210-7
Publication status	Published - 1 Jan 2013

Keywords

Averaging method
Non-integrability
Periodic solution

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https://ddd.uab.cat/record/150657

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title = "Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential",

abstract = "In this paper we study the periodic orbits of the Hamiltonian system with the Armburster-Guckenheimer-Kim potential and its C1 non-integrability in the sense of Liouville-Arnold. {\textcopyright} 2012 Springer Science+Business Media B.V.",

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AU - Roberto, Luci

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N2 - In this paper we study the periodic orbits of the Hamiltonian system with the Armburster-Guckenheimer-Kim potential and its C1 non-integrability in the sense of Liouville-Arnold. © 2012 Springer Science+Business Media B.V.

AB - In this paper we study the periodic orbits of the Hamiltonian system with the Armburster-Guckenheimer-Kim potential and its C1 non-integrability in the sense of Liouville-Arnold. © 2012 Springer Science+Business Media B.V.

KW - Averaging method

KW - Non-integrability

KW - Periodic solution

U2 - https://doi.org/10.1007/s10509-012-1210-7

DO - https://doi.org/10.1007/s10509-012-1210-7

M3 - Article

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JO - Astrophysics and Space Science

JF - Astrophysics and Space Science

SN - 0004-640X

IS - 1

ER -

Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential

Abstract

Keywords

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