Burke, J., Houghton, S.M. and Knobloch, E. (2009) Swift-Hohenberg equation with broken reflection symmetry. Physical Review E, 80 (3). 036202-1. ISSN 1539-3755
This is the latest version of this eprint.
![[img]](http://eprints.whiterose.ac.uk/style/images/fileicons/text.png)
|
Text
broken.pdf Download (1388Kb) |
Abstract
The bistable Swift-Hohenberg equation possesses a variety of time-independent spatially localized solutions organized in the so-called snakes-and-ladders structure. This structure is a consequence of a phenomenon known as homoclinic snaking, and is in turn a consequence of spatial reversibility of the equation. We examine here the consequences of breaking spatial reversibility on the snakes-and-ladders structure. We find that the localized states now drift, and show that the snakes-and-ladders structure breaks up into a stack of isolas. We explore the evolution of this new structure with increasing reversibility breaking and study the dynamics of the system outside of the snaking region using a combination of numerical and analytical techniques.
| Item Type: | Article |
|---|---|
| Copyright, Publisher and Additional Information: | This article has been accepted for publication in 'Physical Review E'. Uploaded in accordance with the publisher's self-archiving policy. |
| Keywords: | Swift-Hohenberg equation, Symmetry breaking |
| Academic Units: | The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
| Depositing User: | Dr S M Houghton |
| Date Deposited: | 17 Sep 2009 09:29 |
| Last Modified: | 08 Feb 2013 16:59 |
| Published Version: | http://dx.doi.org/10.1103/PhysRevE.80.036202 |
| Status: | Published |
| Publisher: | American Physical Society |
| Refereed: | Yes |
| Identification Number: | 10.1103/PhysRevE.80.036202 |
| URI: | http://eprints.whiterose.ac.uk/id/eprint/9293 |
Available Versions of this Item
-
Swift-Hohenberg equation with broken reflection symmetry. (deposited 13 Aug 2009 14:49)
- Swift-Hohenberg equation with broken reflection symmetry. (deposited 17 Sep 2009 09:29) [Currently Displayed]
Actions (login required)
 |
View Item |
