NONINVERTIBLE 2-DIMENSIONAL MAPS ARISING IN RADIOPHYSICS

We study a two-parameter family of noninvertible maps modeling a generator which consists of two identical nonlinear amplifiers and two delay circuits. The ratio of the delays determines the dimension of the map and our attention is mainly on the two-dimensional case. The mechanism of transition to chaos appears to be one-dimensional and is realized through a period-doubling cascade. To get a more complete description we suggest the use of so-called triangular maps. Phase portraits are constructed for some types of model triangular maps. Also we get one- and two-dimensional bifurcation diagrams for the maps considered and attractor basins in the case of multistability using computer simulation.