RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






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


TMF, 2010, Volume 165, Number 1, Pages 177–192 (Mi tmf6570)  

Destruction of dissipative structures under random actions

S. A. Vakulenkoa, M. V. Cherkaib

a St. Petersburg State University for Technology and Design, St. Petersburg, Russia
b Institute for Problems in Mechanical Engineering, RAS, St. Petersburg, Russia

Abstract: We consider random-parameter chemical kinetic systems that are important in numerous physical, chemical, and biological applications. Random parameters describe the action of ambient medium fluctuations on the system. We estimate the probability that the system state remains in a given domain of the phase space during a time interval $[0,T]$ under the condition that the state at the initial instant was in $u_0$, where $u_0$ is the equilibrium solution describing a dissipative structure. We show that in some cases, the problem of maximizing this probability is reducible to the known problem of minimizing the Hopfield Hamiltonian.

Keywords: reaction–diffusion system, random parameter, homeostasis, dissipative structure, spin glass

DOI: https://doi.org/10.4213/tmf6570

Full text: PDF file (503 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 2010, 165:1, 1387–1399

Bibliographic databases:

Document Type: Article
Received: 18.01.2010
Revised: 13.04.2010

Citation: S. A. Vakulenko, M. V. Cherkai, “Destruction of dissipative structures under random actions”, TMF, 165:1 (2010), 177–192; Theoret. and Math. Phys., 165:1 (2010), 1387–1399

Citation in format AMSBIB
\Bibitem{VakChe10}
\by S.~A.~Vakulenko, M.~V.~Cherkai
\paper Destruction of dissipative structures under random actions
\jour TMF
\yr 2010
\vol 165
\issue 1
\pages 177--192
\mathnet{http://mi.mathnet.ru/tmf6570}
\crossref{https://doi.org/10.4213/tmf6570}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2010TMP...165.1387V}
\transl
\jour Theoret. and Math. Phys.
\yr 2010
\vol 165
\issue 1
\pages 1387--1399
\crossref{https://doi.org/10.1007/s11232-010-0116-1}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000286399600011}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78149478694}


Linking options:
  • http://mi.mathnet.ru/eng/tmf6570
  • https://doi.org/10.4213/tmf6570
  • http://mi.mathnet.ru/eng/tmf/v165/i1/p177

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:290
    Full text:67
    References:34
    First page:7

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019