On the piecewise-linear approximation of the polynomial chaotic dynamics

Abstract

This paper briefly shows the influence of handmade picewise-linear approximation on the global dynamics on the selected third-order systems with the quadratic vector fields. These effects are demonstrated using concept of the Ljapunov exponents calculation. The approximated systems are verified by means of the real electronic circuits derived using integrator synthesis and time-domain analysis in Oread Pspice simulator. The universality of the proposed method is discussed and future perspectives are provided.