UNSPECIFIED. (2004) On energy surfaces and the resonance web. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 3 (4). pp. 525-573. ISSN 1536-0040

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Abstract

A framework for understanding the global structure of near-integrable n DOF Hamiltonian systems is proposed. To this aim two tools are developed-the energy-momentum bifurcation diagrams and the branched surfaces. Their use is demonstrated on a few near-integrable 3 DOF systems. For these systems possible sources of instabilities are identified in the diagrams, and the corresponding energy surfaces are presented in the frequency space and by the branched surfaces. The main results of this formulation are theorems which describe the connection between changes in the topology of the energy surfaces and the existence of resonant lower dimensional tori.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Journal or Publication Title:	SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
Publisher:	SIAM PUBLICATIONS
ISSN:	1536-0040
Official Date:	2004
Volume:	3
Number:	4
Number of Pages:	49
Page Range:	pp. 525-573
Identification Number:	10.1137/030600106
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/7425

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