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Numerical stabilization of the Lorenz system by a small external perturbation

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Abstract

The Lorenz system perturbed by noise and its invariant measure whose density obeys the stationary Fokker-Planck equation are analyzed numerically. A linear functional of the invariant measure is considered, and its variation caused by a variation in the right-hand side of the Lorenz system is calculated. A small (in modulus) external perturbation is calculated under which the strange attractor of the Lorenz system degenerates into a stable fixed point.

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Authors and Affiliations

  1. Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119992, Russia

    A. I. Noarov

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  1. A. I. Noarov
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Original Russian Text © A.I. Noarov, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 8, pp. 1415–1422.

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Noarov, A.I. Numerical stabilization of the Lorenz system by a small external perturbation. Comput. Math. and Math. Phys. 46, 1341–1348 (2006). https://doi.org/10.1134/S0965542506080069

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  • DOI: https://doi.org/10.1134/S0965542506080069

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