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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 3, Pages 461–471
(Mi nd335)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/nd335 https://www.mathnet.ru/eng/nd/v8/i3/p461
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Abstract page: | 304 | Full-text PDF : | 161 | References: | 56 | First page: | 1 |
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