Investigating chaotic attractor of the simplest chaotic system with a line of equilibria
Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
2 Department of Physics, University of Wisconsin, Madison, WI 53706, USA
a e-mail: firstname.lastname@example.org
Received in final form: 27 October 2019
Published online: 26 March 2020
A new three-dimensional chaotic flow is proposed in this paper. The system is the simplest chaotic flow that has a line of equilibria. The chaotic attractor of the system is very special with two slow and fast parts. In other words, the dynamic of the system is a combination of slow and fast states. The unique chaotic attractor of the system is investigated. Dynamical properties of the system, such as stability of equilibrium points and bifurcation diagrams, are studied. We believe that such a system with these special properties is proposed for the first time in this paper.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020