Modular smoothing and finite perturbation theory
N Buric; I C Percival; N Buric; Sch. of Math. Sci., Queen Mary & Westfield Coll., London Univ., UK; I C Percival; Sch. of Math. Sci., Queen Mary & Westfield Coll., London Univ., UK
Журнал:
Nonlinearity
Дата:
1991-08-01
Аннотация:
A critical function K( nu ) of a two degrees of freedom Hamiltonian system represents a fractal boundary between regular and chaotic motion as a function of frequency. The method of modular smoothing uses the transformation properties of K( nu ) for unit translation and inversion of nu to provide a rapid method of computing K( nu ). The authors demonstrate two unusual properties of the method: it is simpler for continuous time systems than for maps, and for at least one system exact results can be obtained.
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