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.
Download File PDF, 637.32 Kb |

This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License