Unbounded motions of perturbed isochronous Hamiltonian systems at resonance

Fabry, Christian;Fonda, A.
(2005) Advanced Nonlinear Studies — Vol. 5, n° 3, p. 351-373 (2005)

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  • Fabry, ChristianUCLouvain
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  • Fonda, A.
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Abstract
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.
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Fabry, C., & Fonda, A. (2005). Unbounded motions of perturbed isochronous Hamiltonian systems at resonance. Advanced Nonlinear Studies, 5(3), 351-373. https://hdl.handle.net/2078.5/42918 (Original work published 2005)