Equivalent circuit realizations of fourth-order chaotic Hamiltonian system

Abstract

This paper describes various but still flow-equivalent analog realizations of the fourth-order autonomous deterministic system which exhibits the so-called Hamiltonian dynamics. Design process is described in step-by-step manner and supported by a deep experimental measurement. The main motivation of this work is to prove that mathematical model characterized by a state space volume conserving property can be successfully modeled by several lumped electronic circuits; each having cheap and off-the-shelf components but still providing structurally stable strange attractor.