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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.
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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 | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | PHYSICA D-NONLINEAR PHENOMENA | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0167-2789 | ||||
Official Date: | 1 March 2003 | ||||
Dates: |
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Volume: | 176 | ||||
Number: | 3-4 | ||||
Number of Pages: | 22 | ||||
Page Range: | pp. 125-146 | ||||
Publication Status: | Published |
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