Complex Dynamics in Hysteretic Nonlinear Oscillator Circuit

The present paper introduces a new, fourth order, analogue chaos generator, aiming at noise, random pulse and spread spectrum signal applications. The proposed system has a simpler implementation compared to other circuits reported in the literature, using only one nonlinear element, namely a Schmitt trigger type hysteretic block, and leading to a uniform circuit structure. The analysis of the system dynamics shows richer behavior than previously reported ones, including two single scroll and one double scroll strange attractors, as well as several limit cycles with period multiplicity, obtained for different ranges of coefficients values. Furthermore, we designed and measured the circuit implementation of our system, obtaining results in good accordance with the theoretical and simulation results.