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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2012 Volume 8, Number 3, Pages 461–471 (Mi nd335)

This article is cited 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.

UDC: 517.9

MSC: 37G35

Received: 27.02.2012
Revised: 16.04.2012



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