Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree -2

Jaume Llibre; Adam Mahdi; Claudia Valls

doi:10.1016/j.physleta.2011.03.042

Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree -2

Jaume Llibre, Adam Mahdi, Claudia Valls

Department of Mathematics

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

3 Citations (Scopus)

Abstract

Original language	English
Pages (from-to)	1845-1849
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	375
Issue number	18
DOIs	https://doi.org/10.1016/j.physleta.2011.03.042
Publication status	Published - 2 May 2011

Keywords

Homogeneous polynomial potential
Natural Hamiltonian systems with 2-degrees of freedom

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10.1016/j.physleta.2011.03.042

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Llibre, J., Mahdi, A., & Valls, C. (2011). Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree -2. Physics Letters, Section A: General, Atomic and Solid State Physics, 375(18), 1845-1849. https://doi.org/10.1016/j.physleta.2011.03.042

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title = "Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree -2",

abstract = "We characterize the analytic integrability of Hamiltonian systems with Hamiltonian H=1/2Σi=12pi2+V(q1,q2), having homogeneous potential V(q1,q2) of degree -2. {\textcopyright} 2011 Elsevier B.V. All rights reserved.",

keywords = "Homogeneous polynomial potential, Natural Hamiltonian systems with 2-degrees of freedom",

author = "Jaume Llibre and Adam Mahdi and Claudia Valls",

year = "2011",

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doi = "10.1016/j.physleta.2011.03.042",

language = "English",

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journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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T1 - Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree -2

AU - Llibre, Jaume

AU - Mahdi, Adam

AU - Valls, Claudia

PY - 2011/5/2

Y1 - 2011/5/2

N2 - We characterize the analytic integrability of Hamiltonian systems with Hamiltonian H=1/2Σi=12pi2+V(q1,q2), having homogeneous potential V(q1,q2) of degree -2. © 2011 Elsevier B.V. All rights reserved.

AB - We characterize the analytic integrability of Hamiltonian systems with Hamiltonian H=1/2Σi=12pi2+V(q1,q2), having homogeneous potential V(q1,q2) of degree -2. © 2011 Elsevier B.V. All rights reserved.

KW - Homogeneous polynomial potential

KW - Natural Hamiltonian systems with 2-degrees of freedom

U2 - 10.1016/j.physleta.2011.03.042

DO - 10.1016/j.physleta.2011.03.042

M3 - Article

VL - 375

SP - 1845

EP - 1849

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 18

ER -