A New 4-D Four-Scroll Hyperchaotic System with Multistability, Coexisting Attractors and Its Circuit Realization

In this work, a new 4-D four-scroll hyperchaotic system is presented, and its dynamical properties are investigated. First, some properties of the system are studied such as its Lyapunov exponents, Kaplan-Yorke dimension, phase portraits, equilibrium points, and their stability. Next, we carry out a bifurcation analysis of the new four-scroll hyperchaotic dynamics using the Lyapunov exponent spectrums and bifurcation diagrams and describe offset boosting control. Moreover, we exhibit that the new 4-D four-scroll hyperchaotic system has multistability with coexisting hyperchaotic attractors. Finally, we design an electronic circuit of the new four-scroll hyperchaotic system using MultiSim 14.1 for practical applications.