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Creeping solitons in dissipative systems and their bifurcations

AuthorsChang, W.; Ankiewicz, A.; Akhmediev, N. ; Soto Crespo, J. M.
Issue Date2007
PublisherAmerican Physical Society
CitationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics 76: 016607 (2007)
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. © 2007 The American Physical Society.
Identifiersdoi: 10.1103/PhysRevE.76.016607
issn: 1539-3755
Appears in Collections:(CFMAC-IO) Artículos
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