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Dissipative solitons with extreme spikes: Bifurcation diagrams in the anomalous dispersion regime

Description:

Dissipative solitons with extreme spikes (DSESs), previously thought to be rare solutions of the complex cubic–quintic Ginzburg–Landau equation, occupy in fact a significant region in its parameter space. The variation of any of its five parameters results in a rich structure of bifurcations. We have constructed several bifurcation diagrams that reveal periodic and chaotic dynamics of DSESs. There are various routes to the chaotic behavior of DSESs, including a sequence of period-doubling bifurcations. It is well known that the complex cubic–quintic Ginzburg–Landau equation can serve as a master equation for the description of passively mode-locked lasers. Our results may lead to the observation of DSESs in laser systems.

Publication year:    2017
Reference:    Soto-Crespo, J. M.; Devine, N.; Akhmediev, N.; “Dissipative solitons with extreme spikes: Bifurcation diagrams in the anomalous dispersion regime”, Journal of the Optical Society of America B, Vol. 34, 7, pp. 1542-1549 (2017); doi: 10.1364/JOSAB.34.001542
Magazine:    J. Opt. Soc. Am. B
Running:    No.

Investigación financiada por el Ministerio de Ciencia e Innovación y la Agencia Estatal de Investigación

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