Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
3 Pt 2
pubmed:dateCreated
2009-11-12
pubmed:abstractText
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.
pubmed:language
eng
pubmed:journal
pubmed:citationSubset
IM
pubmed:status
MEDLINE
pubmed:month
Sep
pubmed:issn
1550-2376
pubmed:author
pubmed:issnType
Electronic
pubmed:volume
80
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
036202
pubmed:meshHeading
pubmed:year
2009
pubmed:articleTitle
Swift-Hohenberg equation with broken reflection symmetry.
pubmed:affiliation
Center for BioDynamics, Boston University, Boston, Massachusetts 02215, USA. jb@math.bu.edu
pubmed:publicationType
Journal Article, Research Support, U.S. Gov't, Non-P.H.S.