Chaos suppression in the parametrically driven Lorenz system.

Phys Rev E Stat Nonlin Soft Matter Phys

Institut für Festkörperphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany.

Published: September 2005

AI Article Synopsis

  • Researchers predict and experimentally confirm a way to reduce chaos in the Lorenz system using a strong, fast-acting periodic or random force.
  • They establish theoretical criteria that explain how and why this chaos suppression works.
  • The findings align well with both numerical simulations and actual experiments conducted using an electronic circuit model.

Article 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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http://dx.doi.org/10.1103/PhysRevE.72.036206DOI Listing

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