Electronic Circuit Design of a Novel Chaotic System with Apple-Shaped Curve Equilibrium and Multiple Coexisting Attractors
A. Sambas1*, Sukono2 , S. Zhang3 , S. Vaidyanathan4 , Y. Hidayat5 and Mujiarto1

1Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya,
Tasikmalaya, Indonesia
2Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas
Padjadjaran, Indonesia
3School of Physics and Opotoelectric Engineering, Xiangtan University, Xiangtan, Hunan, China
4Research and Development Centre, Vel Tech University, Avadi, Chennai, India
5Department of Statistics, Faculty of Mathematics and Natural Sciences, Universitas
Padjadjaran, Indonesia

Abstract

A new 3-D chaotic system with an apple-shaped equilibrium curve is proposed in this
research work. There is great interest in the literature in discovering chaotic systems with closed
curves of equilibrium points. In this work, we report a new 3-D chaotic system with an appleshaped closed curve of equilibrium points. We perform a detailed dynamic analysis of the chaotic
system with bifurcation diagram, Lyapunov exponents, phase portraits, etc. We show that the
new chaotic system is multi-stable with coexisting chaotic attractors. As a circuit application, we
design MultiSIM electronic circuit for the new chaotic system. The MultiSIM outputs show good
agreement with the MATLAB outputs for the new chaotic system.

Keywords: 3-D Chaotic, Apple-Shaped, Curve Equilibrium

Topic: Engineering and Technology