Near strongly resonant periodic orbits in a Hamiltonian system
AUTOR(ES)
Gelfreich, Vassili
FONTE
National Academy of Sciences
RESUMO
We study an analytic Hamiltonian system near a strongly resonant periodic orbit. We introduce a modulus of local analytic classification. We provide asymptotic formulae for the exponentially small splitting of separatrices for bifurcating hyperbolic periodic orbits. These formulae confirm a conjecture formulated by V. I. Arnold in the early 1970s.
ACESSO AO ARTIGO
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=137822Documentos Relacionados
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