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.
Unbounded motions of perturbed isochronous hamiltonian systems at resonance
FONDA, ALESSANDRO
2005-01-01
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.File in questo prodotto:
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