A Simple Chaotic Flow with a Plane of Equilibria-Reference-Cited by-同舟云学术

A Simple Chaotic Flow with a Plane of Equilibria

Published:2016-06-15 Issue:06 Volume:26 Page:1650098
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Jafari Sajad¹,Sprott J. C.²,Molaie Malihe¹

Affiliation:

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812741650098X

Reference30 articles.

1. Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua’s circuits

2. MULTISTABILITY AND RARE ATTRACTORS IN VAN DER POL–DUFFING OSCILLATOR

3. New class of chaotic systems with circular equilibrium

4. Simple chaotic flows with a line equilibrium

5. Elementary quadratic chaotic flows with no equilibria

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