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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 10/2023

01.10.2023

Suppression of chaos in the periodically perturbed generalized complex Ginzburg–Landau equation by means of parametric excitation

verfasst von: Sofia Lavrova, Nikolai Kudryashov

Erschienen in: Optical and Quantum Electronics | Ausgabe 10/2023

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Abstract

The generalized complex Ginzburg–Landau equation is considered. An analytical condition for the existence of horseshoe chaos is obtained for the traveling wave reduction of the investigated equation by using the Melnikov method. A way to control chaos in the dynamical system is proposed. An analytical prediction is tested numerically by plotting attraction basins of attraction of the Poincare section of the studied system.
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Metadaten
Titel
Suppression of chaos in the periodically perturbed generalized complex Ginzburg–Landau equation by means of parametric excitation
verfasst von
Sofia Lavrova
Nikolai Kudryashov
Publikationsdatum
01.10.2023
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 10/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-05194-w

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