Numerical stabilization of the Lorenz system by a small external perturbation
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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.
KeywordsLorenz system Fokker-Planck equation stochastic differential equations chaotic dynamics
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