Analog Electronic Implementation of a Class of Hybrid Dissipative Dynamical System

Abstract

An analog electronic implementation by means of operational amplifiers of a class of hybrid dissipative systems in [Formula: see text] is presented. The switching systems have two unstable hyperbolic focus-saddle equilibria with the same stability index, a positive real eigenvalue and a pair of complex conjugated eigenvalues with negative real part. The analog circuit generates signals that oscillate in an attractor located between the two unstable equilibria, and may present saturation states at the moment of energizing it, i.e. if the initial voltage on the capacitors do not belong to the basin of attraction the circuit will end on a saturation state.