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.
|Number of pages||10|
|Journal||Discrete and Continuous Dynamical Systems - Series S|
|Publication status||Published - 1 Aug 2016|
- Hamiltonian systems
- Moser normal form
- Aperiodic time dependence