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

W. Chang; J. M. Soto-Crespo; A. Ankiewicz; N. Akhmediev

doi:10.1117/12.761199

5 January 2008 Multiplicity of soliton transformations in the vicinity of the boundaries of their existence

W. Chang, J. M. Soto-Crespo, A. Ankiewicz, N. Akhmediev

Proceedings Volume 6802, Complex Systems II; 68021D (2008) https://doi.org/10.1117/12.761199
Event: SPIE Microelectronics, MEMS, and Nanotechnology, 2007, Canberra, ACT, Australia

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.

Citation Download Citation

W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev "Multiplicity of soliton transformations in the vicinity of the boundaries of their existence", Proc. SPIE 6802, Complex Systems II, 68021D (5 January 2008); https://doi.org/10.1117/12.761199

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