Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 3, Pages 461–471 (Mi nd335)  

This article is cited in 7 scientific papers (total in 7 papers)

Universal two-dimensional map and its radiophysical realization

Alexander P. Kuznetsova, Sergey P. Kuznetsova, Mikhail V. Pozdnyakovb, Julia V. Sedovaa

a Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch Zelenaya 38, Saratov, 410019 Russia
b Saratov State Technical University Polytechnicheskaya 77, Saratov, 410054, Russia
Full-text PDF (637 kB) Citations (7)
References:
Abstract: We suggest a simple two-dimensional map, parameters of which are the trace and Jacobian of the perturbation matrix of the fixed point. On the parameters plane it demonstrates the main universal bifurcation scenarios: the threshold to chaos via period-doublings, the situation of quasiperiodic oscillations and Arnold tongues. We demonstrate the possibility of implementation of such map in radiophysical device.
Keywords: maps, bifurcations, phenomena of quasiperiodicity.
Received: 27.02.2012
Revised: 16.04.2012
Document Type: Article
UDC: 517.9
MSC: 37G35
Language: Russian
Citation: Alexander P. Kuznetsov, Sergey P. Kuznetsov, Mikhail V. Pozdnyakov, Julia V. Sedova, “Universal two-dimensional map and its radiophysical realization”, Nelin. Dinam., 8:3 (2012), 461–471
Citation in format AMSBIB
\Bibitem{KuzKuzPoz12}
\by Alexander~P.~Kuznetsov, Sergey~P.~Kuznetsov, Mikhail~V.~Pozdnyakov, Julia~V.~Sedova
\paper Universal two-dimensional map and its radiophysical realization
\jour Nelin. Dinam.
\yr 2012
\vol 8
\issue 3
\pages 461--471
\mathnet{http://mi.mathnet.ru/nd335}
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  • https://www.mathnet.ru/eng/nd/v8/i3/p461
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Нелинейная динамика
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    References:56
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