Literature DB >> 26527807

Transition from non-periodic to periodic explosions.

Carlos Cartes1, Orazio Descalzi2.   

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).
© 2015 The Author(s).

Keywords:  chaos theory; explosive solitons; numerical simulations

Year:  2015        PMID: 26527807     DOI: 10.1098/rsta.2015.0114

Source DB:  PubMed          Journal:  Philos Trans A Math Phys Eng Sci        ISSN: 1364-503X            Impact factor:   4.226


  1 in total

1.  Topics on non-equilibrium statistical mechanics and nonlinear physics (II).

Authors:  Osvaldo A Rosso; Orazio Descalzi; Alejandro C Frery; Marcelo L Lyra
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2015-12-13       Impact factor: 4.226

  1 in total

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