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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. 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 |
|---|---|
| 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 |
| Date: | 29 October 2002 |
| Volume: | 99 |
| Number: | 22 |
| Number of Pages: | 5 |
| Page Range: | pp. 13975-13979 |
| Identification Number: | 10.1073/pnas.212116699 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/10435 |
Data sourced from Thomson Reuters' Web of Knowledge
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