Transition from non-periodic to periodic explosions

Carlos Cartes; Orazio Descalzi

doi:10.1098/rsta.2015.0114

Transition from non-periodic to periodic explosions

Carlos Cartes, Orazio Descalzi^*

^*Autor correspondiente de este trabajo

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7 Citas (Scopus)

Resumen

We show the existence of periodic exploding dissipative solitons. These non-chaotic explosions appear when higher-order nonlinear and dispersive effects are added to the complex cubic quintic Ginzburg Landau equation modelling soliton transmission lines. This counterintuitive phenomenon is the result of period-halving bifurcations leading to order (periodic explosions), followed by perioddoubling bifurcations (or intermittency) leading to chaos (non-periodic explosions).

Idioma original	Inglés
Número de artículo	20150114
Publicación	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volumen	373
N.º	2056
DOI	https://doi.org/10.1098/rsta.2015.0114
Estado	Publicada - 13 dic. 2015
Publicado de forma externa	Sí

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© 2015 The Author(s) Published by the Royal Society. All rights reserved.

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title = "Transition from non-periodic to periodic explosions",

abstract = "We show the existence of periodic exploding dissipative solitons. These non-chaotic explosions appear when higher-order nonlinear and dispersive effects are added to the complex cubic quintic Ginzburg Landau equation modelling soliton transmission lines. This counterintuitive phenomenon is the result of period-halving bifurcations leading to order (periodic explosions), followed by perioddoubling bifurcations (or intermittency) leading to chaos (non-periodic explosions).",

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AB - We show the existence of periodic exploding dissipative solitons. These non-chaotic explosions appear when higher-order nonlinear and dispersive effects are added to the complex cubic quintic Ginzburg Landau equation modelling soliton transmission lines. This counterintuitive phenomenon is the result of period-halving bifurcations leading to order (periodic explosions), followed by perioddoubling bifurcations (or intermittency) leading to chaos (non-periodic explosions).

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KW - Explosive solitons

KW - Numerical simulations

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Transition from non-periodic to periodic explosions

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