Transition from non-periodic to periodic explosions | Zendy

Carlos Cartes | Zendy; Orazio Descalzi | Zendy

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Transition from non-periodic to periodic explosions

Author(s) -

Carlos Cartes,

Orazio Descalzi

Publication year - 2015

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.074

H-Index - 169

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2015.0114

Subject(s) - nonlinear system , transition (genetics) , quasi periodic , physics , statistical physics , quantum mechanics , chemistry , biochemistry , gene , astrophysics

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).

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