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Parabolic resonances in 3 degree of freedom near-integrable Hamiltonian systems
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UNSPECIFIED. (2002) Parabolic resonances in 3 degree of freedom near-integrable Hamiltonian systems. PHYSICA D-NONLINEAR PHENOMENA, 164 (3-4). pp. 213-250. ISSN 0167-2789
Full text not available from this repository.Abstract
Perturbing an integrable 3 degree of freedom (d.o.f.) Hamiltonian system containing a normally parabolic 2-torus which is m-resonant (m = 1 or 2) creates a parabolic m-resonance (m-PR). PRs of different types are either persistent or of low co-dimension, hence they appear robustly in many applications. Energy-momenta bifurcation diagram is constructed as a tool for studying the global structure of 3 d.o.f. near-integrable systems. A link between the diagram shape, PR and the resonance structure is found. The differences between the dynamics appearing in 2 and 3 d.o.f. systems exhibiting PRs are studied analytically and numerically. The numerical study demonstrates that PRs are an unavoidable source of large and fast instabilities in typical 3 d.o.f. systems. (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: | 15 April 2002 |
| Volume: | 164 |
| Number: | 3-4 |
| Number of Pages: | 38 |
| Page Range: | pp. 213-250 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/10869 |
Data sourced from Thomson Reuters' Web of Knowledge
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