A New 4-D Chaotic System with Self-Excited Two-Wing Attractor, its Dynamical Analysis and Circuit Realization A Sambas1 *, S Vaidyanathan2 , S Zhang3 , Mujiarto1 , M Mamat4 , Subiyanto5 and W. S. Mada Sanjaya6
1Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Indonesia
2Research and Development Centre, Vel Tech University, Avadi, Chennai, India
3School of Physics and Opotoelectric Engineering, Xiangtan University, Hunan, China
4Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Kuala Terengganu, Malaysia
5Department of Marine Science, Faculty of Fishery and Marine Science, Universitas Padjadjaran, Indonesia
6Department of Physics, Universitas Islam Negeri Sunan Gunung Djati, Bandung, Indonesia
Abstract
A new four-dimensional chaotic system with only two quadratic nonlinearities is
proposed in this paper. It is interesting that the new chaotic system exhibits a two-wing strange
attractor. The dynamical properties of the new chaotic system are described in terms of phase
portraits, equilibrium points, Lyapunov exponents, Kaplan-Yorke dimension, dissipativity, etc.
The new chaotic system has two saddle-foci, unstable equilibrium points. Thus, the new chaotic
system exhibits self-excited attractor. Also, a detailed analysis of the new chaotic system
dynamics has been carried out with bifurcation diagram and Lyapunov exponents. As an
engineering application, an electronic circuit realization of the new chaotic system is designed
via MultiSIM to confirm the feasibility of the theoretical 4-D chaotic model.
