Recent New Examples of Hidden Attractors

S. Jafari1, J. C. Sprott2, and F. Nazarimehr1

1 Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran

2 Department of Physics, University of Wisconsin, Madison, WI 53706, USA

Received: 16 March 2015 / Received in final form 20 May 2015 Published online 27 July 2015

ABSTRACT

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 review several types of new rare chaotic flows with hidden attractors. These flows are divided into 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.

Ref: S. Jafari, J. C. Sprott, and F. Nazarimehr, The European Physical Journal Special Topics 224 1469-1476 (2015)

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