Periodic solutions of a galactic potential

Jaume Llibre; Daniel Paşca; Claudià Valls

doi:10.1016/j.chaos.2014.02.005

Periodic solutions of a galactic potential

Jaume Llibre, Daniel Paşca, Claudià Valls

Departament de Matemàtiques

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Resum

We study analytically the periodic solutions of a Hamiltonian in R 6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point. © 2014 Elsevier Ltd. All rights reserved.

Idioma original	Anglès
Pàgines (de-a)	38-43
Revista	Chaos, Solitons and Fractals
Volum	61
DOIs	https://doi.org/10.1016/j.chaos.2014.02.005
Estat de la publicació	Publicada - 1 de gen. 2014

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10.1016/j.chaos.2014.02.005

https://ddd.uab.cat/record/150701

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@article{d92aaf4df2ee4e208d5abc924075d5a3,

title = "Periodic solutions of a galactic potential",

abstract = "We study analytically the periodic solutions of a Hamiltonian in R 6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point. {\textcopyright} 2014 Elsevier Ltd. All rights reserved.",

author = "Jaume Llibre and Daniel Pa{\c s}ca and Claudi{\`a} Valls",

year = "2014",

month = jan,

day = "1",

doi = "10.1016/j.chaos.2014.02.005",

language = "English",

volume = "61",

pages = "38--43",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier Limited",

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TY - JOUR

T1 - Periodic solutions of a galactic potential

AU - Llibre, Jaume

AU - Paşca, Daniel

AU - Valls, Claudià

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We study analytically the periodic solutions of a Hamiltonian in R 6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point. © 2014 Elsevier Ltd. All rights reserved.

AB - We study analytically the periodic solutions of a Hamiltonian in R 6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point. © 2014 Elsevier Ltd. All rights reserved.

U2 - 10.1016/j.chaos.2014.02.005

DO - 10.1016/j.chaos.2014.02.005

M3 - Article

SN - 0960-0779

VL - 61

SP - 38

EP - 43

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

ER -

Periodic solutions of a galactic potential

Resum

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