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Chaos suppression in the parametrically driven Lorenz system

Chol-Ung Choe·Hartmut Benner·Yuri S. Kivshar
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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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Chol-Ung Choe, Hartmut Benner, Yuri S. Kivshar. 2004-11-09. Chaos suppression in the parametrically driven Lorenz system. https://doi.org/10.1103/physreve.72.036206

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