Creeping solitons in dissipative systems and their bifurcations

Wonkeun Chang; Adrian Ankiewicz; Nail Akhmediev; J. M. Soto-Crespo

doi:10.1103/PhysRevE.76.016607

Creeping solitons in dissipative systems and their bifurcations

Wonkeun Chang^*, Adrian Ankiewicz, Nail Akhmediev, J. M. Soto-Crespo

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

Abstract

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 dynamics, and this can result, in particular, in a multiplicity of zig-zag motions.

Original language	English
Article number	016607
Journal	Physical Review E
Volume	76
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.76.016607
Publication status	Published - 26 Jul 2007

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10.1103/PhysRevE.76.016607

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AB - 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 dynamics, and this can result, in particular, in a multiplicity of zig-zag motions.

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Creeping solitons in dissipative systems and their bifurcations

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