SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM-Reference-Cited by-同舟云学术

SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM

Published:2013-11 Issue:11 Volume:23 Page:1350188
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

MOLAIE MALIHE¹,JAFARI SAJAD¹,SPROTT JULIEN CLINTON²,GOLPAYEGANI S. MOHAMMAD REZA HASHEMI¹

Affiliation:

1. Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, Iran

2. Department of Physics, University of Wisconsin, Madison, WI 53706, USA

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127413501885

Reference17 articles.

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2. Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems

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4. HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS

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