SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM

MALIHE MOLAIE and SAJAD JAFARI
Department of Biomedical Engineering,
Amirkabir University of Technology, 424 Hafez Ave.,
Tehran 15875-4413, Iran

JULIEN CLINTON SPROTT
Department of Physics, University of Wisconsin,
Madison, WI 53706, USA

S. MOHAMMAD REZA HASHEMI GOLPAYEGANI
Department of Biomedical Engineering,
Amirkabir University of Technology, 424 Hafez Ave.,
Tehran 15875-4413, Iran

Received May 3, 2013

ABSTRACT

Using the Routh-Hurwitz stability criterion and a systematic computer search, 23 simple chaotic flows with quadratic nonlinearities were found that have the unusual feature of having a coexisting stable equilibrium point. Such systems belong to a newly introduced category of chaotic systems with hidden attractors that are important and potentially problematic in engineering applications.

Ref: M. Molaie, S. Jafari, J. C. Sprott, and S. M. R. H. Golpayegani, International Journal of Bifurcation and Chaos 23, 1350188 (2013)