https://doi.org/10.1140/epjst/e2015-02472-1
Review
Recent new examples of hidden attractors
1 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: sajadjafari@aut.ac.ir
Received: 16 March 2015
Revised: 20 May 2015
Published online: 27 July 2015
Hidden attractors represent a new interesting topic in the chaos literature. These attractors have a basin of attraction that does not intersect with small neighborhoods of any equilibrium points. Oscillations in dynamical systems can be easily localized numerically if initial conditions from its open neighborhood lead to a long-time oscillation. This paper reviews several types of new rare chaotic flows with hidden attractors. These flows are divided into to three main groups: rare flows with no equilibrium, rare flows with a line of equilibrium points, and rare flows with a stable equilibrium. In addition we describe a novel system containing hidden attractors.
© EDP Sciences, Springer-Verlag, 2015
