Mathematical Models of the Twin-T, Wien-bridgeand Family of Minimum Component Electronic ChaosGenerators with Demonstrative Recurrence Plots

Mathematical models describing the chaotic behaviours in the recently reportedTwin-T, Wien-bridge and family of minimum component electronic chaos generators are derived.Nonideal effects of the active element in these circuits are integrated into analysis where necessarywhile a two segment piece-wise-linear approximation of the passive nonlinear voltage controlledresistor characteristics is adopted. The chaotic behaviour is shown to extend to the case where anactive nonlinear resistor with odd symmetrical characteristics is used. Three dimensional chaoticattractors obtained from numerical integrations of the proposed mathematical models areconstructed. Demonstrative recurrence plots are included.