A New Chaotic Flow with Hidden Attractor: The First Hyperjerk System with No Equilibrium-Reference-Cited by-同舟云学术

A New Chaotic Flow with Hidden Attractor: The First Hyperjerk System with No Equilibrium

Published:2018-02-15 Issue:3 Volume:73 Page:239-249
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Ren Shuili¹,Panahi Shirin²,Rajagopal Karthikeyan³^ORCID,Akgul Akif⁴,Pham Viet-Thanh⁵,Jafari Sajad²

Affiliation:

1. School of Science , Xijing University , Xi’an 710123 , China

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

3. Center for Nonlinear Dynamics , The Papua New Guinea University of Technology , Lae , Papua New Guinea ; Center for Nonlinear Dynamics , Defence University , Ethiopia

4. Department of Electrical and Electronic Engineering , Faculty of Technology , Sakarya University , Sakarya , Turkey

5. Modeling Evolutionary Algorithms Simulation and Artificial Intelligent, Faculty of Electrical and Electronics Engineering , Ton Duc Thang University , Ho Chi Minh City , Vietnam

Abstract

Abstract Discovering unknown aspects of non-equilibrium systems with hidden strange attractors is an attractive research topic. A novel quadratic hyperjerk system is introduced in this paper. It is noteworthy that this non-equilibrium system can generate hidden chaotic attractors. The essential properties of such systems are investigated by means of equilibrium points, phase portrait, bifurcation diagram, and Lyapunov exponents. In addition, a fractional-order differential equation of this new system is presented. Moreover, an electronic circuit is also designed and implemented to verify the feasibility of the theoretical model.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2017-0409/pdf

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