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



Nelin. Dinam.:
Year:
Volume:
Issue:
Page:
Find






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


Nelin. Dinam., 2017, Volume 13, Number 3, Pages 303–315 (Mi nd567)  

Original papers

Chaos generator with the Smale–Williams attractor based on oscillation death

V. M. Doroshenkoa, V. P. Kruglovb, S. P. Kuznetsovb

a Saratov State University, ul. Astrahanskaya 83, Saratov, 410012, Russia
b Saratov Branch of Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, ul. Zelenaya 38, Saratov, 410019, Russia

Abstract: A nonautonomous system with a uniformly hyperbolic attractor of Smale–Williams type in a Poincaré cross-section is proposed with generation implemented on the basis of the effect of oscillation death. The results of a numerical study of the system are presented: iteration diagrams for phases and portraits of the attractor in the stroboscopic Poincaré cross-section, power density spectra, Lyapunov exponents and their dependence on parameters, and the atlas of regimes. The hyperbolicity of the attractor is verified using the criterion of angles.

Keywords: uniformly hyperbolic attractor, Smale–Williams solenoid, Bernoulli map, oscillation death, Lyapunov exponents

Funding Agency Grant Number
Russian Foundation for Basic Research 16-32-00449
Russian Science Foundation 17-12-01008


DOI: https://doi.org/10.20537/nd1703001

Full text: PDF file (6128 kB)
References: PDF file   HTML file

UDC: 517.9
MSC: 37D20, 37D45, 34C15, 34D08
Received: 21.07.2017
Accepted:31.08.2017

Citation: V. M. Doroshenko, V. P. Kruglov, S. P. Kuznetsov, “Chaos generator with the Smale–Williams attractor based on oscillation death”, Nelin. Dinam., 13:3 (2017), 303–315

Citation in format AMSBIB
\Bibitem{DorKruKuz17}
\by V.~M.~Doroshenko, V.~P.~Kruglov, S.~P.~Kuznetsov
\paper Chaos generator with the Smale–Williams attractor based on oscillation death
\jour Nelin. Dinam.
\yr 2017
\vol 13
\issue 3
\pages 303--315
\mathnet{http://mi.mathnet.ru/nd567}
\crossref{https://doi.org/10.20537/nd1703001}
\elib{http://elibrary.ru/item.asp?id=29993262}


Linking options:
  • http://mi.mathnet.ru/eng/nd567
  • http://mi.mathnet.ru/eng/nd/v13/i3/p303

    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
  • Íĺëčíĺéíŕ˙ äčíŕěčęŕ
    Number of views:
    This page:121
    Full text:40
    References:16

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020