On the Canonical Circuit Realizations of Fourth-Order and Fifth-Order Hyperjerk Chaotic Function

Abstract

This brief paper describes design process toward the simplest lumped circuit implementation of the hyper-jerk function. This is single nonlinear ordinary differential equation able to produce a variety of the robust dense chaotic attractors. Designed oscillators can be considered as canonical in the sense of minimum total number of the circuit elements required for construction. Circuit concept can be understood as the looped system of composed by the active nonlinear two-port and fully passive ladder frequency filter. Fingerprints of robust chaos are provided via numerical analysis, computer-aided simulation and experimental measurement.