Transition from non-periodic to periodic explosions

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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).

Original languageEnglish
Article number20150114
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume373
Issue number2056
DOIs
StatePublished - 13 Dec 2015
Externally publishedYes

Bibliographical note

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

Keywords

  • Chaos theory
  • Explosive solitons
  • Numerical simulations

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