A new three-dimensional chaotic flow with one stable equilibrium: dynamical properties and complexity analysis
Khalaf Abdul Jalil M.,
Kapitaniak Tomasz,
Rajagopal Karthikeyan,
Alsaedi Ahmed,
Hayat Tasawar,
Pham Viet–Thanh
Affiliations
Khalaf Abdul Jalil M.
Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Najaf, Iraq
Kapitaniak Tomasz
Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924, Lodz, Poland
Rajagopal Karthikeyan
Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia
Alsaedi Ahmed
NAAM Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
Hayat Tasawar
NAAM Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
Pham Viet–Thanh
Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
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.
