A multi-scroll chaotic system with novel attractors: Dynamics, circuit implementation and synchronization

Abstract

A novel three-dimensional multi-scroll nonlinear model is successfully designed in the short article. Several specific chaotic features of the new model, such as the initial value sensitivity, fractal dimension, Lyapunov exponent, complexity of this novel model are introduced. Moreover, the nonlinear electronic circuit of this system is realized by PSPICE. Finally, the synchronization scheme via chaotic control theory is also designed. And the outcomes of this experiment are in conformance with the corresponding numeric calculation, which verifies the practicability of the new chaotic model.