On the numerical optimization of KAM estimates by classical perturbation theory View Full Text


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Article Info

DATE

1988-09

AUTHORS

Alessandra Celletti, Antonio Giorgilli

ABSTRACT

A recently proposed algorithm for the estimate of the threshold above which a certain torus disappears, which combines classical Birkhoff normalization procedure with KAM theory, is reconsidered and improved. This is done by studying the particular case of the forced pendulum Hamiltonian, and considering the golden torus. We find that there exists an optimal orderN of normalization, and the ratio between the estimate thus obtained and the experimental value turns out to be ∼19. A possible explanation of such result is also suggested. More... »

PAGES

743-747

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf00948734

DOI

http://dx.doi.org/10.1007/bf00948734

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1050663556


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