Nelineinaya Dinamika [Russian Journal of Nonlinear 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


Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find




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

Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2017, Volume 13, Number 3, Pages 303–315
DOI: https://doi.org/10.20537/nd1703001 (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
Full-text PDF (6128 kB)
References:
PDF
HTML
DOI: https://doi.org/10.20537/nd1703001
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
Received: 21.07.2017
Accepted: 31.08.2017
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 37D20, 37D45, 34C15, 34D08
Language: Russian
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{https://elibrary.ru/item.asp?id=29993262}
Linking options:
  • https://www.mathnet.ru/eng/nd567
  • https://www.mathnet.ru/eng/nd/v13/i3/p303
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Íåëèíåéíàÿ äèíàìèêà
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024