Near strongly resonant periodic orbits in a Hamiltonian system
نویسندگان
چکیده
منابع مشابه
Near strongly resonant periodic orbits in a Hamiltonian system.
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.
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2002
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.212116699