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Long-periodic orbits and invariant tori in a singularly perturbed Hamiltonian system
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UNSPECIFIED (2003) Long-periodic orbits and invariant tori in a singularly perturbed Hamiltonian system. PHYSICA D-NONLINEAR PHENOMENA, 176 (3-4). pp. 125-146. ISSN 0167-2789
Full text not available from this repository.Abstract
In this paper, we study a singularly perturbed, two-degree-of-freedom Hamiltonian system with a normally elliptic slow manifold. We prove that the slow manifold persists but can have a large number (similar toepsilon(-1)) of exponentially small (less than or equal toe(-c/epsilon)) gaps. We demonstrate the existence of KAM tori in a neighborhood of the slow manifold. In addition, we investigate a bifurcation which describes the creation of a gap in the slow manifold and derive its normal form. (C) 2002 Elsevier Science B.V. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Journal or Publication Title: | PHYSICA D-NONLINEAR PHENOMENA |
| Publisher: | ELSEVIER SCIENCE BV |
| ISSN: | 0167-2789 |
| Date: | 1 March 2003 |
| Volume: | 176 |
| Number: | 3-4 |
| Number of Pages: | 22 |
| Page Range: | pp. 125-146 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/9975 |
Data sourced from Thomson Reuters' Web of Knowledge
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