Darboux integrability of 2-dimensional Hamiltonian systems with homogenous potentials of degree 3

Jaume Llibre; Claudia Valls

doi:10.1063/1.4868701

Darboux integrability of 2-dimensional Hamiltonian systems with homogenous potentials of degree 3

Jaume Llibre, Claudia Valls

Departament de Matemàtiques

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

6 Cites (Scopus)

Resum

We provide a characterization of all Hamiltonian systems of the form H = (p21 + p22)/2 + V(q1, q2), where V is a homogenous polynomial of degree 3 which are completely integrable with Darboux first integrals. © 2014 AIP Publishing LLC.

Idioma original	Anglès
Número d’article	033507
Revista	Journal of Mathematical Physics
Volum	55
Número	3
DOIs	https://doi.org/10.1063/1.4868701
Estat de la publicació	Publicada - 21 de març 2014

Accés al document

10.1063/1.4868701

https://ddd.uab.cat/record/150711

Altres arxius i enllaços

https://www.scopus.com/pages/publications/84902281734

Com citar-ho

@article{6e9c0cc205da42fd996fef6e0ccb41f2,

title = "Darboux integrability of 2-dimensional Hamiltonian systems with homogenous potentials of degree 3",

abstract = "We provide a characterization of all Hamiltonian systems of the form H = (p21 + p22)/2 + V(q1, q2), where V is a homogenous polynomial of degree 3 which are completely integrable with Darboux first integrals. {\textcopyright} 2014 AIP Publishing LLC.",

author = "Jaume Llibre and Claudia Valls",

year = "2014",

month = mar,

day = "21",

doi = "10.1063/1.4868701",

language = "English",

volume = "55",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "3",

}

TY - JOUR

T1 - Darboux integrability of 2-dimensional Hamiltonian systems with homogenous potentials of degree 3

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2014/3/21

Y1 - 2014/3/21

N2 - We provide a characterization of all Hamiltonian systems of the form H = (p21 + p22)/2 + V(q1, q2), where V is a homogenous polynomial of degree 3 which are completely integrable with Darboux first integrals. © 2014 AIP Publishing LLC.

AB - We provide a characterization of all Hamiltonian systems of the form H = (p21 + p22)/2 + V(q1, q2), where V is a homogenous polynomial of degree 3 which are completely integrable with Darboux first integrals. © 2014 AIP Publishing LLC.

UR - https://www.scopus.com/pages/publications/84902281734

U2 - 10.1063/1.4868701

DO - 10.1063/1.4868701

M3 - Article

SN - 0022-2488

VL - 55

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 3

M1 - 033507

ER -

Darboux integrability of 2-dimensional Hamiltonian systems with homogenous potentials of degree 3

Resum

Accés al document

Altres arxius i enllaços

Fingerprint

Com citar-ho