A New 3-D Chaotic Jerk System with Four Nonlinear Terms, its Backstepping Synchronization and Circuit Simulation
K. Lamamra1,*, S. Vaidyanathan2 , W. T. Putra3 , E. Darnila4 , A. Sambas5 , and Mujiarto5

Mujiarto5
1 Department of Electronics, University of Larbi Ben Mhidi, Oum El Bouaghi, Algeria
2 Research and Development Centre, Vel Tech University, Avadi, Chennai, India
3 Department of Mechanical Engineering, Universitas Muhammadiyah Ponorogo, Indonesia
4 Department of Informatic, Universitas Malikussaleh, Aceh Utara, Indonesia
5 Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Indonesia

Abstract

A new 3-D chaotic jerk system with four nonlinear systems is proposed in this
research work. There is great interest in the literature in discovering chaos in mechanical
systems. In this work, we find chaos in a 3-D chaotic jerk system, which is a mechanical
oscillator with four nonlinear terms. As a control application, we design backstepping based
global chaos synchronization for a pair of new chaotic jerk systems. As a circuit application,
we design MultiSIM electronic circuit for the new chaotic jerk system. The MultiSIM outputs
show good agreement with the MATLAB outputs for the new jerk system.

Keywords: 3-d Chaotic, four non-linear

Topic: Engineering and Technology