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  • Letter

Oscillatory dissipative solitons stabilized by nonlinear gradient terms: The transition to localized spatiotemporal disorder

Orazio Descalzi1,2,*, Carlos Cartes1, and Helmut R. Brand2

  • 1Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Chile
  • 2Department of Physics, University of Bayreuth, 95440 Bayreuth, Germany

  • *Corresponding author: odescalzi@miuandes.cl
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Phys. Rev. E 105, L062201 – Published 8 June, 2022

DOI: https://doi.org/10.1103/PhysRevE.105.L062201

Abstract

We investigate properties of oscillatory dissipative solitons (DSs) in a cubic complex Ginzburg-Landau equation stabilized by nonlinear gradient terms. As a main result we find a transition to dissipative solitons with spatiotemporal disorder as a function of the diffusion coefficient. This transition proceeds via quasiperiodicity and shows incommensurate satellites next to the fundamental frequency and its harmonics indicating a possible route to localized spatiotemporal chaos. The transition back to oscillatory DSs follows a similar scenario.

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Phys. Rev. E 105, L062201– Published 8 June, 2022
  • Received 5 January 2022
  • Accepted 24 May 2022
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