A new three-dimensional chaotic flow with one stable equilibrium: dynamical properties and complexity analysis

Open Physics

Rajagopal Karthikeyan¹  Khalaf Abdul Jalil M.²  Kapitaniak Tomasz³  Pham Viet–Thanh⁴  Hayat Tasawar⁵  Alsaedi Ahmed⁵ 

[1] Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia;Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Najaf, Iraq;Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924, Lodz, Poland;Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam;NAAM Research Group, King Abdulaziz University, Jeddah, Saudi Arabia;

关键词: chaotic flow;    stable equilibrium;    hidden attractor;    basin of attraction;    entropy;    complexity;    05.45.ac;    05.45.pq;   

DOI  :  10.1515/phys-2018-0037

来源: DOAJ

【 摘 要 】

This paper proposes a new three-dimensional chaotic flow with one stable equilibrium. Dynamical properties of this system are investigated. The system has a chaotic attractor coexisting with a stable equilibrium. Thus the chaotic attractor is hidden. Basin of attractions shows the tangle of different attractors. Also, some complexity measures of the system such as Lyapunov exponent and entropy will are analyzed. We show that the Kolmogorov-Sinai Entropy shows more accurate results in comparison with Shanon Entropy.

【 授权许可】

Unknown