Novel circuit implementation of the Nóse-Hoover thermostated dynamic system

Abstract

It came as a surprise to most scientists when Lorenz in 1963 discovered chaos in a simple system of three autonomous ordinary differential equations with two quadratic nonlinearities. This paper reviews the numerical analysis, simulation and circuit implementation of conservative chaotic oscillator. There is reason to believe that the algebraically simplest examples of chaotic flows with quadratic and piecewise linear nonlinearities have now been identified. A special case of the simple Nóse-Hoover system where the chaotic attractor can be observed without the need to set parameters of the system (or all are equal to one) is described.