Geodesic
Universal two-dimensional map and its radiophysical realization
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 461-471

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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, phenomena of quasiperiodicity.
Mots-clés : bifurcations 
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     title = {Universal two-dimensional map and its radiophysical realization},
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Alexander P. Kuznetsov; Sergey P. Kuznetsov; Mikhail V. Pozdnyakov; Julia V. Sedova. Universal two-dimensional map and its radiophysical realization. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 461-471. http://geodesic.mathdoc.fr/item/ND_2012_8_3_a1/