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

Jaume Llibre; Luci Roberto

doi: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

10 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

Access to Document

10.1007/s10509-012-1210-7

Fingerprint Dive into the research topics of 'Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential'. Together they form a unique fingerprint.

Cite this

@article{9c5f5bc89349428fb330cda586815f1e,

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.",

keywords = "Averaging method, Non-integrability, Periodic solution",

author = "Jaume Llibre and Luci Roberto",

year = "2013",

month = jan,

day = "1",

doi = "10.1007/s10509-012-1210-7",

language = "English",

volume = "343",

pages = "69--74",

journal = "Astrophysics and Space Science",

issn = "0004-640X",

number = "1",

}

TY - JOUR

T1 - Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential

AU - Llibre, Jaume

AU - Roberto, Luci

PY - 2013/1/1

Y1 - 2013/1/1

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 - 10.1007/s10509-012-1210-7

DO - 10.1007/s10509-012-1210-7

M3 - Article

VL - 343

SP - 69

EP - 74

JO - Astrophysics and Space Science

JF - Astrophysics and Space Science

SN - 0004-640X

IS - 1

ER -