The Library
Generalized exchange lemmas and orbits heteroclinic to invariant manifolds
Tools
Tin, Siu-Kei and Jones, C. K. R. T. (Christopher K. R. T.) (2009) Generalized exchange lemmas and orbits heteroclinic to invariant manifolds. Discrete and Continuous Dynamical Systems - Series S, vol.2 (No.4). pp. 967-1023. doi:10.3934/dcdss.2009.2.967 ISSN 1937-1632.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.3934/dcdss.2009.2.967
Abstract
The construction of orbits with specific asymptotic properties, such as orbits that are heteroclinic or homoclinic to certain invariant sets, involves tracking stable and unstable manifolds around the system's phase space. This work addresses how, in some generality, the tracking can be achieved during the passage near a distinguished invariant manifold in the phase space. This leads to a very general form of the Exchange Lemma and it is further shown how the lemma can be used in the construction of distinguished homoclinic and heteroclinic orbits.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Discrete and Continuous Dynamical Systems - Series S | ||||
Publisher: | American Institute of Mathematical Sciences | ||||
ISSN: | 1937-1632 | ||||
Official Date: | 2009 | ||||
Dates: |
|
||||
Volume: | vol.2 | ||||
Number: | No.4 | ||||
Page Range: | pp. 967-1023 | ||||
DOI: | 10.3934/dcdss.2009.2.967 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |