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Suppressing chaos through optimum correction of the control parameters in a duffing-van der pol oscillator

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Abstract

The problem of the parametric suppression of chaos in a dynamical system is solved by methods of the optimum control theory. Based on the proposed method, optimum correcting perturbations are determined for a Duffing-van der Pol oscillator. The results of a numerical experiment are presented, which show that this correction provides stabilization of the optimum limit cycle.

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Authors and Affiliations

  1. Balashov Division, Saratov State University, Balashov, Russia

    Yu. V. Talagaev

  2. Borisoglebsk State Pedagogical Institute, Borisoglebsk, Russia

    A. F. Tarakanov

Authors
  1. Yu. V. Talagaev
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  2. A. F. Tarakanov
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Original Russian Text © Yu.V. Talagaev, A.F. Tarakanov, 2006, published in Pis’ma v Zhurnal Tekhnickeskoĭ Fiziki, 2006, Vol. 32, No. 24, pp. 1–9.

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Talagaev, Y.V., Tarakanov, A.F. Suppressing chaos through optimum correction of the control parameters in a duffing-van der pol oscillator. Tech. Phys. Lett. 32, 1043–1046 (2006). https://doi.org/10.1134/S1063785006120145

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  • DOI: https://doi.org/10.1134/S1063785006120145

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