Recent New Examples of Hidden Attractors
, J. C.
, and F. Nazarimehr1
Biomedical Engineering Department, Amirkabir
University of Technology, Tehran 15875-4413, Iran
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
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
Ref: S. Jafari, J. C. Sprott, and F.
Nazarimehr, The European Physical Journal Special Topics 224 1469-1476 (2015)
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