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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 8, Pages 1415–1422 (Mi zvmmf427)  
This article is cited in 3 scientific papers (total 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
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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.
Key words: Lorenz system, Fokker–Planck equation, stochastic differential equations, chaotic dynamics.
Received: 05.07.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 8, Pages 1341–1348
DOI: https://doi.org/10.1134/S0965542506080069
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: A. I. Noarov, “Numerical stabilization of the Lorenz system by a small external perturbation”, Zh. Vychisl. Mat. Mat. Fiz., 46:8 (2006), 1415–1422; Comput. Math. Math. Phys., 46:8 (2006), 1341–1348
Citation in format AMSBIB
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\by A.~I.~Noarov
\paper Numerical stabilization of the Lorenz system by a~small external perturbation
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\pages 1415--1422
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\transl
\jour Comput. Math. Math. Phys.
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\issue 8
\pages 1341--1348
\crossref{https://doi.org/10.1134/S0965542506080069}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748308832}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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