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7 p, 639.3 KB Polynomial and rational integrability of polynomial Hamiltonian systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Stoica, Cristina (Wilfrid Laurier University. Department of Mathematics) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matematica)
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
Electronic journal of differential equations, Vol. 2012 Núm. 108 (2012) , p. 1-6  
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