Chaos suppression in the parametrically driven Lorenz system

Chol Ung Choe; Klaus Höhne; Hartmut Benner; Yuri S. Kivshar

doi:10.1103/PhysRevE.72.036206

Chaos suppression in the parametrically driven Lorenz system

Chol Ung Choe^*, Klaus Höhne, Hartmut Benner, Yuri S. Kivshar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

39 Citations (Scopus)

Abstract

We predict theoretically and verify experimentally the suppression of chaos in the Lorenz system driven by a high-frequency periodic or stochastic parametric force. We derive the theoretical criteria for chaos suppression and verify that they are in a good agreement with the results of numerical simulations and the experimental data obtained for an analog electronic circuit.

Original language	English
Article number	036206
Journal	Physical Review E
Volume	72
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.72.036206
Publication status	Published - Sept 2005

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title = "Chaos suppression in the parametrically driven Lorenz system",

abstract = "We predict theoretically and verify experimentally the suppression of chaos in the Lorenz system driven by a high-frequency periodic or stochastic parametric force. We derive the theoretical criteria for chaos suppression and verify that they are in a good agreement with the results of numerical simulations and the experimental data obtained for an analog electronic circuit.",

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Chaos suppression in the parametrically driven Lorenz system

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