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

Lavrova Sofia; Kudryashov Nikolai

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

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

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摘要

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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来源
《Optical and Quantum Electronics》 |2023年第10期|共5页
作者
Lavrova Sofia; Kudryashov Nikolai;
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作者单位

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute);

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类光学;
关键词
Complex Ginzburg–Landau equation; Melnikov method; Basins of attraction; Chaos control; Parametric excitation;

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

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