双曲平衡点附近非周期性不定常含时哈密顿量的Normal forms à la Moser
Normal forms à la Moser for aperiodically time-dependent Hamiltonians in the vicinity of a hyperbolic equilibrium
摘要:
将Moser关于双曲平衡点附近正规形存在性的经典定理推广到一类具有非周期性不定常扰动的实解析Hamilton算子.在扰动函数具有时间衰减的情况下,得到了更强的结果。
英文摘要:
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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