Universal two-dimensional map and its radiophysical realization
Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 3, pp. 461-471
pdf (637.32 Kb)
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.
maps, bifurcations, phenomena of quasiperiodicity
Kuznetsov A. P., Kuznetsov S. P., Pozdnyakov M. V., Sedova Y. V., Universal two-dimensional map and its radiophysical realization, Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 3, pp. 461-471