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Unbounded motions of perturbed isochronous Hamiltonian systems at resonance

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Fabry, Christian [UCL] Fonda, A.

Large amplitude solutions of asymptotically positively homogeneous perturbations of hamiltonian systems at resonance can be unbounded, either in the past, or in the future. We present conditions for boundedness or unboundedness, generalizing in particular the results obtained by Alonso and Ortega [1] for scalar second order equations with asymmetric nonlinearities.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 2005
Language Anglais
Journal information "Advanced Nonlinear Studies" - Vol. 5, no. 3, p. 351-373 (2005)
Peer reviewed yes
Publisher Advanced Nonlinear Studies, Inc (San Antonio)
issn 1536-1365
Publication status Publié
Affiliation UCL - SC/MATH - Département de mathématique
Keywords unbounded solutions ; isochronous hamiltonian systems ; nonlinear resonance
Links
Bibliographic reference Fabry, Christian ; Fonda, A.. Unbounded motions of perturbed isochronous Hamiltonian systems at resonance. In: Advanced Nonlinear Studies, Vol. 5, no. 3, p. 351-373 (2005)
Permanent URL http://hdl.handle.net/2078.1/39218