Some practical experiments with simple driven dynamical systems

Abstract

A subclass of the second-order driven chaotic systems have been verified and this brief paper brings some results. In this work a harmonic signal is supposed to be a driving force. By considering its frequency to be the natural bifurcation parameter the associated spectrum of the Lyapunov exponents are repeatedly calculated by using Mathcad. The generated signals in the time domain are presented as the selected oscilloscope screenshots as well as the associated plane projections.