Source:http://linkedlifedata.com/resource/pubmed/id/19905195
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rdf:type | |
lifeskim:mentions | |
pubmed:issue |
3 Pt 2
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pubmed:dateCreated |
2009-11-12
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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.
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pubmed:language |
eng
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pubmed:journal | |
pubmed:citationSubset |
IM
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pubmed:status |
MEDLINE
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pubmed:month |
Sep
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pubmed:issn |
1550-2376
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pubmed:author | |
pubmed:issnType |
Electronic
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pubmed:volume |
80
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pubmed:owner |
NLM
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pubmed:authorsComplete |
Y
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pubmed:pagination |
036202
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pubmed:meshHeading | |
pubmed:year |
2009
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pubmed:articleTitle |
Swift-Hohenberg equation with broken reflection symmetry.
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pubmed:affiliation |
Center for BioDynamics, Boston University, Boston, Massachusetts 02215, USA. jb@math.bu.edu
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pubmed:publicationType |
Journal Article,
Research Support, U.S. Gov't, Non-P.H.S.
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