On dynamics analysis of a novel three-scroll chaotic attractor

This paper reports a novel chaotic member to the three-dimensional smooth autonomous quadratic system family, which is derived from the classical Chen system but exhibits a three-scroll chaotic attractor. The basic dynamical properties, such as Lyapunov exponents, fractal dimension, Poincaré map and chaotic dynamical behaviors of the new chaotic system are studied, either numerically or analytically. Simulation results clearly show that this is a novel chaotic system and deserves further detailed investigation.