A general multiscroll Lorenz system family and its realization via digital signal processors

Abstract

This paper proposes a general multiscroll Lorenz system family by introducing a novel parameterized $n$ th-order polynomial transformation. Some basic dynamical behaviors of this general multiscroll Lorenz system family are then investigated, including bifurcations, maximum Lyapunov exponents, and parameters regions. Furthermore, the general multiscroll Lorenz attractors are physically verified by using digital signal processors.