Simple Chaotic Flows with a Curve of Equilibria-Reference-Cited by-同舟云学术

Simple Chaotic Flows with a Curve of Equilibria

Published:2016-11 Issue:12 Volume:26 Page:1630034
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Barati Kosar¹,Jafari Sajad¹,Sprott Julien Clinton²,Pham Viet-Thanh³

Affiliation:

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

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

3. School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127416300342

Reference40 articles.

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

2. New class of chaotic systems with circular equilibrium

3. NARX prediction of some rare chaotic flows: Recurrent fuzzy functions approach

4. Simple chaotic flows with a line equilibrium

5. Elementary quadratic chaotic flows with no equilibria

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