A novel multi-scroll chaotic generator: Analysis, simulation, and implementation**Project supported by the National Natural Science Foundation of China (Grant Nos. 51377124 and 51521065), the Foundation for the Author of National Excellent Doctoral Dissertation, China (Grant No. 201337), and the New Star of Youth Science and Technology of Shaanxi Province, China (Grant No. 2016KJXX-40).

Abstract

Based on a new three-dimensional autonomous linear system and designing a specific form of saturated function series and a sign function with two variables of system, which are employed to increase saddle-focus equilibrium points with index 2, a novel multi-scroll chaotic system is proposed and its typical dynamical characteristics including bifurcation diagram, Poincare map, and the stability of equilibrium points are analyzed. The hardware circuit is designed and the experimental results are presented for confirmation.