Geodesic
Numerical stabilization of the Lorenz system by a small external perturbation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1415-1422

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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. 
@article{ZVMMF_2006_46_8_a5,
     author = {A. I. Noarov},
     title = {Numerical stabilization of the {Lorenz} system by a~small external perturbation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1415--1422},
     publisher = {mathdoc},
     volume = {46},
     number = {8},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a5/}
}
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A. I. Noarov. Numerical stabilization of the Lorenz system by a small external perturbation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1415-1422. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a5/