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Simple Chaotic Flows with a Curve of Equilibria

Kosar Barati

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

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Sajad Jafari

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

E-mail Address: sajadjafari@aut.ac.ir

Corresponding author

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Julien Clinton Sprott

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

E-mail Address: csprott@wisc.edu

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, and

Viet-Thanh Pham

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

E-mail Address: pvt3010@gmail.com

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https://doi.org/10.1142/S0218127416300342Cited by:101 (Source: Crossref)

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.

Keywords:

References

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