# name
Integrability: a difficult analytical problem

# metadata.dc.description.abstract[].value
Generically hamiltonian systems are non integrable o However there are few tools in order to prove that a given system is nonintegrableo For two degrees of freedom the usual methods rely upon the appearance of tran~ versal homoclinic or heteroclinic orbitso The transversal character is shown through evaluation of integrals along orbitso Such computation requl res the knowledgement of a one parameter family of periodic orbits and an explicit solution for the unperturbed (integrable) caseo Oue to the dependence of the form exp(-C/epsilon K) of the angle measuring transversality with respect to the perturbation parameter, none of the approximations of pertu~ bation theory is enough to establish nonintegrabilityo

# metadata.dc.relation.ispartof[].value
Publicacions Matemàtiques, 1980, vol. 22, p. 71-80

# metadata.dc.rights[].value
(c) Universitat Autònoma de Barcelona, 1980

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Integrability: a difficult analytical problem