Circle map behaviour of a modulated relaxation oscillator (Q1196059)

Basing on the experimental and numerical previous work by \textit{M. Bauer, U. Krueger} and \textit{W. Martienssen} [Europhys. Lett. 9, 191-196 (1989)], the authors study numerically the inductively shunted Josephson junction as an example for a driven relaxation oscillator. The considered oscillator consists of a Josephson junction shunted by a coil, which supplied with a constant current shows the sharp periodic pulses for the measured junction voltage. The authors show that the dynamics, i.e. periodicity, quasiperiodicity, chaos, of this system can be described by a one-dimensional circle map. Basing on that map they investigate the phase diagram by determining the critical lines (at which the map changes from an invertible into a noninvertible map), by analyzing the dimension of the set of quasiperiodic winding numbers at these critical lines and by investigating the dynamics in the supercritical region.