Simple Chaotic Flows with a Curve of Equilibria
Kosar Barait and Sajad Jafari
Biomedical Engineering Department, Amirkabir University of
Technology,
Tehran 15875-4413, Iran
[email protected]
Julien Clinton Sprott
Department of Physics, University of Wisconsin - Madison,
Madison, WI 53706, USA
Viet-Thanh Pham
School of Electronics and Telecommunications,
Hanoi University of Science and Technology,
01 Dai Co Viet, Hanoi, Vietnam
Received May 14, 2016; Revised July 21, 2016
ABSTRACT
Using a systematic computer search,
four simple chaotic flows with cubic nonlinearities were found
that have the unusual feature of having a curve of equilibria.
Such systems belong to a newly introduced category of chaotic
systems with hidden attractors that are important and
potentially problematic in engineering applications.