A Simple Chaotic Flow with a Plane of Equilibria
Sajad Jafari
Biomedical Engineering Department,
Amirkabir University of Technology,
Tehran 15875-4413, Iran
[email protected]
J. C. Sprott
Department of Physics, University of Wisconsin,
Madison, WI 53706, USA
Malihe Molaie
Biomedical Engineering Department,
Amirkabir University of Technology,
Tehran 15875-4413, Iran
Received June 30, 2015; Revised November 5, 2015
ABSTRACT
Using a systematic computer search,
a simple four-dimensional chaotic flow was found that has the
unusual feature of having a plane of equilibria. Such a system
belongs to a newly introduced category of chaotic systems with
hidden attractors that are important and potentially problematic
in engineering applications.