A New 4-D Hyperchaotic Two-Wing System with a Unique Saddle-Point Equilibrium at the Origin, its Bifurcation Analysis and Circuit Simulation
S. Vaidyanathan1,*, I. M. Moroz2 , A. Sambas3 , Mujiarto3 and W. S. M. Sanjaya4

1 Research and Development Centre, Vel Tech University, Avadi, Chennai, India
2 Mathematical Institute, University of Oxford, Andrew Wiles Building, ROQ, Oxford Ox2 6GG, UK
3 Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Indonesia
4 Department of Physics, Universitas Islam Negeri Sunan Gunung Djati, Bandung, Indonesia

Abstract

A new 4-D hyperchaotic two-wing system with three quadratic nonlinearities is
proposed in this paper. The dynamical properties of the new hyperchaotic system are described
in terms of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, symmetry,
dissipativity, etc. Also, a detailed dynamical bifurcation analysis of the hyperchaotic system
has been studied using bifurcation diagrams. As an engineering application, an electronic
circuit realization of the new hyperchaotic two-wing system is developed in MultiSIM, which
confirms the feasibility of the theoretical hyperchaotic two-wing system.

Keywords: 4-D hyperchaotic, three quadratic, nonlinearities

Topic: Engineering and Technology