Are Perpetual Points Sufficient for Locating Hidden Attractors?

Fahimeh Nazarimehr, Batool Saedi, and Sajad Jafari
Biomedical Engineering Department,
Amirkabir University of Technology,
Tehran 15875-4413, Iran

J. C. Sprott
Department of Physics,
University of Wisconsin - Madison,

Madison, WI 53706, USA

Received July  20, 2016; Revised November 13, 2016


Perpetual Points (PPs) have been introduced as an interesting new topic in nonlinear dynamics, and there is a conjecture that these points can be used to find hidden attractors. This note demonstrates some examples where PPs cannot locate their hidden attractors..

Ref: F. Nazarimehr, B. Saedi, S. Jafari, and J. C. Sprott, International Journal of Bifurcation and Chaos 27 1750037 (2017)

The complete paper is available in PDF format.

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