Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (1213 kB) Citations (3)
References:
PDF
HTML
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
\Bibitem{Noa06}
\by A.~I.~Noarov
\paper Numerical stabilization of the Lorenz system by a~small external perturbation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 8
\pages 1415--1422
\mathnet{http://mi.mathnet.ru/zvmmf427}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2287359}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\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}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf427
  • https://www.mathnet.ru/eng/zvmmf/v46/i8/p1415
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:320
    Full-text PDF :132
    References:39
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024