Simple Chaotic Flows with a Curve of Equilibria

Kosar Barait and Sajad Jafari
Biomedical Engineering Department, Amirkabir University of Technology,
Tehran 15875-4413, Iran

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

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.

Ref: K. Barati, S. Jafari, J. C. Sprott, and V. -T. Pham, International Journal of Bifurcation and Chaos 26 160034 (2016)

The complete paper is available in PDF format.

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