This article is cited in 3 papers

Numerical stabilization of the Lorenz system by a small external perturbation

A. I. Noarov

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

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.

Key words: Lorenz system, Fokker–Planck equation, stochastic differential equations, chaotic dynamics.

UDC: 519.62

Received: 05.07.2005

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:8, 1341–1348

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