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Proceedings Paper

Multiplicity of soliton transformations in the vicinity of the boundaries of their existence
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Paper Abstract

The region of transition between solitons and fronts in dissipative systems governed by the complex Ginzburg- Landau equation is rich with bifurcations. We found that the number of transitions between various types of localized structures is enormous. 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 resulting, in particular, in a variety of zig-zag motions.

Paper Details

Date Published: 5 January 2008
PDF: 7 pages
Proc. SPIE 6802, Complex Systems II, 68021D (5 January 2008); doi: 10.1117/12.761199
Show Author Affiliations
W. Chang, The Australian National Univ. (Australia)
J. M. Soto-Crespo, Instituto de Óptica, C.S.I.C. (Spain)
A. Ankiewicz, The Australian National Univ. (Australia)
N. Akhmediev, The Australian National Univ. (Australia)

Published in SPIE Proceedings Vol. 6802:
Complex Systems II
Derek Abbott; Tomaso Aste; Murray Batchelor; Robert Dewar; Tiziana Di Matteo; Tony Guttmann, Editor(s)

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