Regular and Chaotic Dynamics
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



Regul. Chaotic Dyn.:
Year:
Volume:
Issue:
Page:
Find






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


Regular and Chaotic Dynamics, 2006, Volume 11, Issue 2, Pages 247–258
DOI: https://doi.org/10.1070/RD2006v011n02ABEH000348
(Mi rcd671)
 

This article is cited in 11 scientific papers (total in 11 papers)

On the 70th birthday of L.P. Shilnikov

Hard bifurcations in dynamical systems with bounded random perturbations

A. J. Homburga, T. Youngb

a KdV Institute for Mathematics, University of Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands
b Department of Mathematics, Ohio University, Athens, OH 45701
Citations (11)
Abstract: We study bifurcations in dynamical systems with bounded random perturbations. Such systems, which arise quite naturally, have been nearly ignored in the literature, despite a rich body of work on systems with unbounded, usually normally distributed, noise. In systems with bounded random perturbations, new kinds of bifurcations that we call 'hard' may happen and in fact do occur in many situations when the unperturbed deterministic systems experience elementary, codimension-one bifurcations such as saddle-node and homoclinic bifurcations. A hard bifurcation is defined as discontinuous change in the density function or support of a stationary measure of the system.
Keywords: bifurcations, random perturbations.
Received: 03.10.2005
Accepted: 11.12.2005
Bibliographic databases:
Document Type: Article
MSC: 34F05, 37H20
Language: English
Citation: A. J. Homburg, T. Young, “Hard bifurcations in dynamical systems with bounded random perturbations”, Regul. Chaotic Dyn., 11:2 (2006), 247–258
Citation in format AMSBIB
\Bibitem{HomYou06}
\by A. J. Homburg, T.~Young
\paper Hard bifurcations in dynamical systems with bounded random perturbations
\jour Regul. Chaotic Dyn.
\yr 2006
\vol 11
\issue 2
\pages 247--258
\mathnet{http://mi.mathnet.ru/rcd671}
\crossref{https://doi.org/10.1070/RD2006v011n02ABEH000348}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2245080}
\zmath{https://zbmath.org/?q=an:1164.34402}
Linking options:
  • https://www.mathnet.ru/eng/rcd671
  • https://www.mathnet.ru/eng/rcd/v11/i2/p247
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:78
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024