Guangyun Zhang

On the global boundedness of the Lü system

In this paper, we are concerned with the open problem of the global boundedness of the Lu system based on Lyapunov stability theory, which was proposed by Zhang and Mu (2012). The innovation of the paper is that this paper not only proves the Lu system is global bounded according to dynamical systems theory but also gives the bounds of the Lu system.

Dynamical behavior of a generalized Lorenz system model and its simulation

In this article, the dynamical behavior of a generalized Lorenz system is derived based on stability theory of dynamical systems. The meaningful contribution of this article is that the domain of attraction of the new chaotic system is studied in detailed. Finally, numerical simulations are given to verify the effectiveness and correctness of the obtained results.

Dynamical analysis and numerical simulation of bloch chaotic system

FUCHEN ZHANG, XIAOFENG LIAO, GUANGYUN ZHANG, CHUNLAI MU, AND DA LIN College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, People’s Republic of China; College of Electronic and Information Engineering, Southwest University, Chongqing 400716, People’s Republic of China; International Business School, Chongqing Technology and Business University, Chongqing 400067, People’s Republic of China; College of Mathematics and Statistics, Chongqing University, Chongqing 401331, People’s Republic of China; and School of Automatic and Electronic Information Sichuan University of Science and Engineering, Zigong 643000, People’s Republic of China

Qualitative behavior of the Lorenz‐like chaotic system describing the flow between two concentric rotating spheres

FUCHEN ZHANG, XIAOFENG LIAO, AND GUANGYUN ZHANG College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, People’s Republic of China; College of Electronic and Information Engineering, Southwest University, Chongqing 400716, People’s Republic of China; and International Business School, Chongqing Technology and Business University, Chongqing 400067, People’s Republic of China

Qualitative Study of a 4D Chaos Financial System

Some dynamics of a new 4D chaotic system describing the dynamical behavior of the finance are considered. Ultimate boundedness and global attraction domain are obtained according to Lyapunov stability theory. These results are useful in estimating the Lyapunov dimension of attractors, Hausdorff dimension of attractors, chaos control, and chaos synchronization. We will also present some simulation results. Furthermore, the volumes of the ultimate bound set and the global exponential attractive set are obtained.