The Library
The mechanism of parabolic resonance orbits
Tools
UNSPECIFIED (2005) The mechanism of parabolic resonance orbits. In: International Conference on Differential Equations, Hasselt, BELGIUM, JUL 22-26, 2003. Published in: EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS pp. 738-743. ISBN 981-256-169-2.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Abstract
Parabolic resonance orbits (PROs) axe orbits of n >= 3 d.o.f. near integrable Hamiltonian systems with initial conditions near a resonant normally parabolic (n - I)torus, which is part of a family of bifurcating (n - 1)-tori. Vast numerical evidence indicates that PROs exhibit large instabilities in the slow variables ("actions"). Here the structure and the driving mechanism of PROs are realised, using a specific example as an intuition. Explicit calculations, numerical simulations and some heuristic arguments are enrolled to outline this mechanism and to construct the building blocks for a rigorous proof that PROs exhibit maximal possible instabilities w.r.t. the boundaries of their energy surface.
Item Type: | Conference Item (UNSPECIFIED) | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS | ||||
Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD | ||||
ISBN: | 981-256-169-2 | ||||
Editor: | Dumortier, F and Broer, H and Mawhin, J and Vanderbauwhede, A and Lunel, SV | ||||
Official Date: | 2005 | ||||
Dates: |
|
||||
Number of Pages: | 6 | ||||
Page Range: | pp. 738-743 | ||||
Publication Status: | Published | ||||
Title of Event: | International Conference on Differential Equations | ||||
Location of Event: | Hasselt, BELGIUM | ||||
Date(s) of Event: | JUL 22-26, 2003 |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |