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

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

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

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

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.

Original language	English
Title of host publication	Complex Systems II
DOIs	https://doi.org/10.1117/12.761199
Publication status	Published - 2008
Event	Complex Systems II - Canberra, Australia Duration: 5 Dec 2007 → 7 Dec 2007

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	6802
ISSN (Print)	0277-786X

Conference

Conference	Complex Systems II
Country/Territory	Australia
City	Canberra
Period	5/12/07 → 7/12/07

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10.1117/12.761199

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title = "Multiplicity of soliton transformations in the vicinity of the boundaries of their existence",

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.",

keywords = "Bifurcations, Dissipative soliton, Ginzburg-Landau equation",

author = "W. Chang and Soto-Crespo, {J. M.} and A. Ankiewicz and N. Akhmediev",

year = "2008",

doi = "10.1117/12.761199",

language = "English",

isbn = "9780819469731",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

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Multiplicity of soliton transformations in the vicinity of the boundaries of their existence. / Chang, W.; Soto-Crespo, J. M.; Ankiewicz, A. et al.
Complex Systems II. 2008. 68021D (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 6802).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Multiplicity of soliton transformations in the vicinity of the boundaries of their existence

AU - Chang, W.

AU - Soto-Crespo, J. M.

AU - Ankiewicz, A.

AU - Akhmediev, N.

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - Bifurcations

KW - Dissipative soliton

KW - Ginzburg-Landau equation

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U2 - 10.1117/12.761199

DO - 10.1117/12.761199

M3 - Conference contribution

SN - 9780819469731

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - Complex Systems II

T2 - Complex Systems II

Y2 - 5 December 2007 through 7 December 2007

ER -

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

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