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arXiv · 1503.05134

Normal forms \`a la Moser for aperiodically time-dependent Hamiltonians in the vicinity of a hyperbolic equilibrium

Alessandro Fortunati·Stephen Wiggins
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Abstract

The classical theorem of Moser, on the existence of a normal form in the neighbourhood of a hyperbolic equilibrium, is extended to a class of real-analytic Hamiltonians with aperiodically time-dependent perturbations. A stronger result is obtained in the case in which the perturbing function exhibits a time decay.

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Alessandro Fortunati, Stephen Wiggins. 2015-03-17. Normal forms \`a la Moser for aperiodically time-dependent Hamiltonians in the vicinity of a hyperbolic equilibrium. https://doi.org/10.3934/dcdss.2016044

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