Dynamics analysis and numerical simulations of a new 5D Lorenz-type chaos dynamical system

The Journal of Nonlinear Sciences and its Applications

ChunlaiMu¹  FuchenZhang²  XiaominLi³  GuangyunZhang⁴  XiaofengLiao⁴ 

[1] College of Electronic and Information Engineering, Southwest University, Chongqing 400715, People'College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, People'College of Mathematics and Statistics, Chongqing University, Chongqing 401331, People's Republic of China

关键词: Lorenz-type system;    Lyapunov exponents;    Lyapunov stability;    chaotic attractor;    ultimate bound estimation;   

DOI  :  10.22436/jnsa.010.11.34

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

Ultimate bound sets of chaotic systems have important applications in chaos control and chaos synchronization. Ultimate bound sets can also be applied in estimating the dimensions of chaotic attractors. However, it is often a difficult work to obtain the bounds of high-order chaotic systems due to complex algebraic structure of high-order chaotic systems. In this paper, a new 5D autonomous quadratic chaotic system which is different from the Lorenz chaotic system is proposed and analyzed. Ultimate bound sets and globally exponential attractive sets of this system are studied by introducing the Lyapunov-like functions. To validate the ultimate bound estimation, numerical simulations are also investigated.

【 授权许可】

Unknown