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Homoclinic orbits of a Hamiltonian system

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Ding, YH Willem, Michel [UCL]

We establish existence results of homoclinic orbits of the first order time-dependent Hamiltonian system (z)over dot = JH(z) (t, z), where H(t, z) depends periodically on t, H(t, z) = (1)/(2)zL(t)z + W(t , z), L(t) is a symmetric matrix valued function and W(t, z) satisfies certain global superquadratic condition. We relax partly the assumption often used before: L is independent of t and sp(JL)boolean AND iR = phi.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 1999
Language Anglais
Journal information "Zeitschrift fuer Angewandte Mathematik und Physik" - Vol. 50, no. 5, p. 759-778 (1999)
Peer reviewed yes
Publisher Birkhauser Verlag Ag (Basel)
issn 0044-2275
e-issn 1420-9039
Publication status Publié
Affiliation UCL - SC/MATH - Département de mathématique
Keywords homoclinic orbits ; Hamiltonian systems ; linking theorem ; concentation-compactness
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Bibliographic reference Ding, YH ; Willem, Michel. Homoclinic orbits of a Hamiltonian system. In: Zeitschrift fuer Angewandte Mathematik und Physik, Vol. 50, no. 5, p. 759-778 (1999)
Permanent URL http://hdl.handle.net/2078.1/44117