On the integrability of a three-dimensional cored galactic Hamiltonian

Jaume Llibre; Clàudia Valls

doi:https://doi.org/10.1016/j.aml.2014.10.016

On the integrability of a three-dimensional cored galactic Hamiltonian

Jaume Llibre, Clàudia Valls

Department of Mathematics

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

1 Citation (Scopus)

Abstract

© 2014 Published by Elsevier Ltd. We characterize when the three-dimensional cored galactic Hamiltonian system with Hamiltonian H=1/2(px2+py2+pz2/q)+√1+x2+y2+z2/q, is completely meromorphically integrable when q∈[0.36,1]. The key point for this characterization is to transform the non-polynomial cored Hamiltonian system into a polynomial one.

Original language	English
Pages (from-to)	23-27
Journal	Applied Mathematics Letters
Volume	41
DOIs	https://doi.org/10.1016/j.aml.2014.10.016
Publication status	Published - 1 Jan 2015

Keywords

Hamiltonian
Meromorphic first integrals
Three-dimensional cored galactic

Access to Document

https://doi.org/10.1016/j.aml.2014.10.016

https://ddd.uab.cat/record/145338

Cite this

@article{ef6250755fe94dde8853bdf5ea9ac5c1,

title = "On the integrability of a three-dimensional cored galactic Hamiltonian",

abstract = "{\textcopyright} 2014 Published by Elsevier Ltd. We characterize when the three-dimensional cored galactic Hamiltonian system with Hamiltonian H=1/2(px2+py2+pz2/q)+√1+x2+y2+z2/q, is completely meromorphically integrable when q∈[0.36,1]. The key point for this characterization is to transform the non-polynomial cored Hamiltonian system into a polynomial one.",

keywords = "Hamiltonian, Meromorphic first integrals, Three-dimensional cored galactic",

author = "Jaume Llibre and Cl{\`a}udia Valls",

year = "2015",

month = jan,

day = "1",

doi = "https://doi.org/10.1016/j.aml.2014.10.016",

language = "English",

volume = "41",

pages = "23--27",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Limited",

}

TY - JOUR

T1 - On the integrability of a three-dimensional cored galactic Hamiltonian

AU - Llibre, Jaume

AU - Valls, Clàudia

PY - 2015/1/1

Y1 - 2015/1/1

N2 - © 2014 Published by Elsevier Ltd. We characterize when the three-dimensional cored galactic Hamiltonian system with Hamiltonian H=1/2(px2+py2+pz2/q)+√1+x2+y2+z2/q, is completely meromorphically integrable when q∈[0.36,1]. The key point for this characterization is to transform the non-polynomial cored Hamiltonian system into a polynomial one.

AB - © 2014 Published by Elsevier Ltd. We characterize when the three-dimensional cored galactic Hamiltonian system with Hamiltonian H=1/2(px2+py2+pz2/q)+√1+x2+y2+z2/q, is completely meromorphically integrable when q∈[0.36,1]. The key point for this characterization is to transform the non-polynomial cored Hamiltonian system into a polynomial one.

KW - Hamiltonian

KW - Meromorphic first integrals

KW - Three-dimensional cored galactic

U2 - https://doi.org/10.1016/j.aml.2014.10.016

DO - https://doi.org/10.1016/j.aml.2014.10.016

M3 - Article

SN - 0893-9659

VL - 41

SP - 23

EP - 27

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

On the integrability of a three-dimensional cored galactic Hamiltonian

Abstract

Keywords

Access to Document

Fingerprint

Cite this