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

40 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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10.1103/PhysRevE.72.036206

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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.",

author = "Choe, \{Chol Ung\} and Klaus H{\"o}hne and Hartmut Benner and Kivshar, \{Yuri S.\}",

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AU - Choe, Chol Ung

AU - Höhne, Klaus

AU - Benner, Hartmut

AU - Kivshar, Yuri S.

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Y1 - 2005/9

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AB - 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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U2 - 10.1103/PhysRevE.72.036206

DO - 10.1103/PhysRevE.72.036206

M3 - Article

SN - 2470-0045

VL - 72

JO - Physical Review E

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Chaos suppression in the parametrically driven Lorenz system

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