The Library
Slow manifolds in a singularly perturbed Hamiltonian system
Tools
Tools
Tools
UNSPECIFIED (2005) Slow manifolds in a singularly perturbed Hamiltonian system. In: International Conference on Differential Equations, Hasselt, BELGIUM, JUL 22-26, 2003. Published in: EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS pp. 889-894. 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
Assume that a Hamiltonian system looses some of its degrees of freedom in the following way: the motion in the slow component stops in the limit epsilon -> 0. In this case, the small parameter enters the dynamics through the corresponding symplectic form instead of the Hamiltonian function. The slow manifold can be defined in the usual way, but unlike the general dissipative case the slow manifold may be normally elliptic even for a generic Hamiltonian. We study a mechanism, which destroys the normally elliptic slow manifold and use a specially developed averaging technique to study the dynamics nearby.
| 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. 889-894 | ||||
| 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 |
