A new three-dimensional chaotic system: Dynamical properties and simulation

摘要

This paper recomends a new three-dimensional autonomous chaotic system with six terms including three multipliers, which is different from the Lorenz system and other existing systems. Basic dynamical characteristics of this new system are analyzed via equilibria, Lyapunov exponent spectrum, a dissipative system, phase portraits, the Poincare map, bifurcation diagrams and Hopf bifurcation. The compound structures of this new system are also investigated. Analysis of the results show that this chaotic attractor has complex dynamics with some interesting characteristics. (C) 2017 The Physical Society of the Republic of China (Taiwan). Published by Elsevier B.V. All rights reserved.