A Class of Piecewise Linear Systems Without Equilibria With 3-D Grid Multiscroll Chaotic Attractors

Abstract

In this brief a new class of piecewise linear dynamical system without equilibria which exhibits a 3-D grid multiscroll chaotic attractor is presented. The number of scrolls of the attractor generated can be easily changed by the number of linear parts of three piecewise constant functions. A particular system with a 3-D grid multiscroll attractor whose scrolls appear in an arrangement of ${3}{\times }{3}{\times }{3}$ is taken as a case study. Moreover, an electronic circuit realization is proposed for the particular system and simulation data as well as experimental data is provided.