Four-wing hyperchaotic attractor generated from a new 4D system with one equilibrium and its fractional-order form |
| |
Authors: | Sara Dadras Hamid Reza Momeni Guoyuan Qi Zhong-lin Wang |
| |
Institution: | 1. Automation and Instruments Lab, Electrical Engineering Department, Tarbiat Modares University, P.O. Box 14115-143, Tehran, Iran 2. Department of Electrical Engineering, Tshwane University of Technology, Pretoria, 0001, South Africa 3. Department of Physics and Electronics, Binzhou University, Binzhou, 256603, Shandong, China
|
| |
Abstract: | In this paper, a new simple 4D smooth autonomous system is proposed, which illustrates two interesting rare phenomena: first,
this system can generate a four-wing hyperchaotic and a four-wing chaotic attractor and second, this generation occurs under
condition that the system has only one equilibrium point at the origin. The dynamic analysis approach in the paper involves
time series, phase portraits, Lyapunov exponents, bifurcation diagram, and Poincaré maps, to investigate some basic dynamical
behaviors of the proposed 4D system. The physical existence of the four-wing hyperchaotic attractor is verified by an electronic
circuit. Finally, it is shown that the fractional-order form of the system can also generate a chaotic four-wing attractor. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|