A New 4-D Hyperchaotic Two-Wing System with a Unique Saddle-Point Equilibrium at the Origin, its Bifurcation Analysis and Circuit Simulation

Abstract

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.