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Near strongly resonant periodic orbits in a Hamiltonian system
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UNSPECIFIED (2002) Near strongly resonant periodic orbits in a Hamiltonian system. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 99 (22). pp. 13975-13979. doi:10.1073/pnas.212116699 ISSN 0027-8424.
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Official URL: http://dx.doi.org/10.1073/pnas.212116699
Abstract
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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science | ||||
Journal or Publication Title: | PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | ||||
Publisher: | NATL ACAD SCIENCES | ||||
ISSN: | 0027-8424 | ||||
Official Date: | 29 October 2002 | ||||
Dates: |
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Volume: | 99 | ||||
Number: | 22 | ||||
Number of Pages: | 5 | ||||
Page Range: | pp. 13975-13979 | ||||
DOI: | 10.1073/pnas.212116699 | ||||
Publication Status: | Published |
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