Polynomial and rational integrability of polynomial hamiltonian systems

Jaume Llibre; Cristina Stoica; Clàudia Valls

Polynomial and rational integrability of polynomial hamiltonian systems

Jaume Llibre, Cristina Stoica, Clàudia Valls

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

5 Citas (Scopus)

Resumen

Within the class of canonical polynomial Hamiltonian systems anti-symmetric under phase-space involutions, we generalize some results on the existence of Darboux polynomial and rational first integrals for "kinetic plus potential" systems to general systems. © 2012 Texas State University - San Marcos.

Idioma original	Inglés
Publicación	Electronic Journal of Differential Equations
Volumen	2012
Estado	Publicada - 26 jun 2012

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title = "Polynomial and rational integrability of polynomial hamiltonian systems",

abstract = "Within the class of canonical polynomial Hamiltonian systems anti-symmetric under phase-space involutions, we generalize some results on the existence of Darboux polynomial and rational first integrals for {"}kinetic plus potential{"} systems to general systems. {\textcopyright} 2012 Texas State University - San Marcos.",

keywords = "Darboux polynomial, Polynomial Hamiltonian systems, Polynomial first integrals, Rational first integrals",

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

year = "2012",

month = jun,

day = "26",

language = "English",

volume = "2012",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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TY - JOUR

T1 - Polynomial and rational integrability of polynomial hamiltonian systems

AU - Llibre, Jaume

AU - Stoica, Cristina

AU - Valls, Clàudia

PY - 2012/6/26

Y1 - 2012/6/26

N2 - Within the class of canonical polynomial Hamiltonian systems anti-symmetric under phase-space involutions, we generalize some results on the existence of Darboux polynomial and rational first integrals for "kinetic plus potential" systems to general systems. © 2012 Texas State University - San Marcos.

AB - Within the class of canonical polynomial Hamiltonian systems anti-symmetric under phase-space involutions, we generalize some results on the existence of Darboux polynomial and rational first integrals for "kinetic plus potential" systems to general systems. © 2012 Texas State University - San Marcos.

KW - Darboux polynomial

KW - Polynomial Hamiltonian systems

KW - Polynomial first integrals

KW - Rational first integrals

M3 - Article

SN - 1072-6691

VL - 2012

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Polynomial and rational integrability of polynomial hamiltonian systems

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