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Creeping solitons in dissipative systems and their bifurcations

Chang, Wonkeun; Ankiewicz, Adrian; Akhmediev, Nail


We 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...[Show more]

CollectionsANU Research Publications
Date published: 2007-07-26
Type: Journal article
Source: Physical Review E-Statistical, Nonlinear and Soft Matter Physics
DOI: 10.1103/PhysRevE.76.016607


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