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https://www.ias.ac.in/article/fulltext/pram/090/04/0052

Chaos; jerk system; equilibrium; time delay; circuit

The literature on chaos has highlighted several chaotic systems with special features. In this work, a novel chaotic jerk system with non-hyperbolic equilibrium is proposed. The dynamics of this new system is revealed through equilibrium analysis, phase portrait, bifurcation diagram and Lyapunov exponents. In addition, we investigate the time-delay effects on the proposed system. Realisation of such a system is presented to verify its feasibility.

KARTHIKEYAN RAJAGOPAL¹ VIET-THANH PHAM² FADHIL RAHMA TAHIR³ AKIF AKGUL⁴ HAMID REZA ABDOLMOHAMMADI⁵ SAJAD JAFARI⁶

1. Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia
2. Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
3. Electrical Engineering Department, University of Basrah, Basra, Iraq
4. Department of Electrical and Electronic Engineering, Faculty of Technology, Sakarya University, Adapazarı, Turkey
5. Department of Electrical Engineering, Golpayegan University of Technology, Golpayegan, Iran
6. Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran

Published

3 April 2018

Manuscript received

7 July 2017

Manuscript revised

3 October 2017

Accepted

12 November 2017

Early published

Unedited version published online

Final version published online

9 March 2018