Universal two-dimensional map and its radiophysical realization

Kuznetsov A. P.; Kuznetsov S. P.; Pozdnyakov M. V.; Sedova Y. V.

Universal two-dimensional map and its radiophysical realization

2012, Vol. 8, No. 3, pp. 461-471

Author(s): Kuznetsov A. P., Kuznetsov S. P., Pozdnyakov M. V., Sedova Y. V.

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

Citation: Kuznetsov A. P., Kuznetsov S. P., Pozdnyakov M. V., Sedova Y. V., Universal two-dimensional map and its radiophysical realization, Rus. J. Nonlin. Dyn., 2012, Vol. 8, No. 3, pp. 461-471

DOI:10.20537/nd1203002

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