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Creeping solitons in dissipative systems and their bifurcations

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dc.contributor.authorChang, Wonkeun
dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorAkhmediev, Nail
dc.date.accessioned2009-08-13T02:01:48Zen_US
dc.date.accessioned2010-12-20T06:04:38Z
dc.date.available2009-08-13T02:01:48Zen_US
dc.date.available2010-12-20T06:04:38Z
dc.date.issued2007-07-26en_US
dc.date.updated2015-12-08T08:48:15Z
dc.description.abstractWe present a detailed numerical study of creeping solitons in dissipative systems. A bifurcation diagram has been constructed for the region of transition between solitons and fronts. It shows a rich variety of transitions between various types of localized solutions. For the first time, we have found a sequence of period-doubling bifurcations of creeping solitons, and also a symmetry-breaking instability of creeping solitons. Creeping solitons may involve many frequencies in their dynamics, and this can result, in particular, in a multiplicity of zig-zag motions.
dc.format8 pages
dc.identifier.citationPhysical Review, E, Statistical, Nonlinear and Soft Matter Physics 76.1 (2007): 016607/1-8
dc.identifier.issn1539-3755en_US
dc.identifier.urihttp://hdl.handle.net/10440/690en_US
dc.identifier.urihttp://digitalcollections.anu.edu.au/handle/10440/690
dc.publisherAmerican Physical Society
dc.rightshttp://www.sherpa.ac.uk/romeo/index.php "Author can archive pre-print (ie pre-refereeing) … post-print (ie final draft post-refereeing) … [and] publisher's version/PDF. Link to publisher version … [and] Copyright notice required. Publisher's version/PDF can be used on … employers web site." - from SHERPA/RoMEO site (as at 25/02/10). ©2007 The American Physical Society
dc.sourcePhysical Review E-Statistical, Nonlinear and Soft Matter Physics
dc.source.urihttp://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000076000001016607000001&idtype=cvips&gifs=Yesen_US
dc.subjectKeywords: Bifurcation (mathematics); Creep; Phase diagrams; Phase transitions; Dissipative systems; Multiplicity; Period-doubling bifurcations; Zig-zag motions; Solitons
dc.titleCreeping solitons in dissipative systems and their bifurcations
dc.typeJournal article
local.bibliographicCitation.lastpage8
local.bibliographicCitation.startpage016607 1
local.contributor.affiliationChang, Wonkeun, Graduate Schoolen_US
local.contributor.affiliationAnkiewicz, Adrian, Research School of Physical Sciences and Engineering, Optical Sciences Centreen_US
local.contributor.affiliationAkhmediev, Nail, Research School of Physical Sciences and Engineering, Optical Sciences Centreen_US
local.contributor.authoruidu4241170en_US
local.contributor.authoruidu8204998en_US
local.contributor.authoruidu9111648en_US
local.identifier.absfor020501en_US
local.identifier.ariespublicationu4056230xPUB94en_US
local.identifier.citationvolume76
local.identifier.doi10.1103/PhysRevE.76.016607
local.identifier.scopusID2-s2.0-34547510130
local.type.statusPublished Versionen_US

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