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

Orazio Descalzi*, Carlos Cartes, Helmut R. Brand

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article numberL062201
JournalPhysical Review E
Volume105
Issue number5
DOIs
StatePublished - Jun 2022

Bibliographical note

Funding Information:
O.D. and C.C. wish to acknowledge the support of FONDECYT (CL), Grant No. 1200357.

Publisher Copyright:
© 2022 American Physical Society.

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