Numerical stabilization of the Lorenz system by a small external perturbation |
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Authors: | A. I. Noarov |
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Affiliation: | (1) Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119992, Russia |
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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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Keywords: | Lorenz system Fokker-Planck equation stochastic differential equations chaotic dynamics |
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