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. 2015 Dec 13;373(2056):20150114.
doi: 10.1098/rsta.2015.0114.

Transition from non-periodic to periodic explosions

Carlos Cartes  1 , Orazio Descalzi  2
Affiliations

Transition from non-periodic to periodic explosions

Carlos Cartes et al. Philos Trans A Math Phys Eng Sci. .

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 period-doubling bifurcations (or intermittency) leading to chaos (non-periodic explosions).

Keywords: chaos theory; explosive solitons; numerical simulations.

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