Model of Two Current-Source-Coupled Resonant Circuits with Chaotic Behavior

Abstract

This paper deals with hypothetic construction of two resonant circuits which are coupled by controllable current sources with nonlinear transconductance. Analyzed system is based on cross-coupled transistor pair circuit in which the polarity of currents are reversed. Quantifiers of chaotic systems, such as Lyapunov exponents or structural stability of generated attractors, were investigated using numerical analysis. Experimental verification on an flow-equivalent circuit based on integrator synthesis confirmed the existence of chaotic behavior.