A New 4-D Highly Chaotic Two-Scroll System with a Hyperbola of Equilibrium Points and Its Circuit Simulation

In this work, we present a new 4-D highly chaotic two-scroll system with a hyperbola of equilibrium points. The mathematical model of the new 4-D highly chaotic system is obtained by modifying the dynamics of the Sprott-C chaotic system (1994). First, we study the dynamic properties of the new two-scroll chaotic system such as phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, and equilibrium points. Since the new chaotic system has infinitely many number of equilibrium points, it has hidden attractors. Next, we carry out a bifurcation analysis of the new highly chaotic system using bifurcation diagrams and Lyapunov exponents. We also investigate offset-boosting control of the new highly chaotic system. Furthermore, we demonstrate the presence of multistability and coexisting chaotic attractors in the newly introduced 4-D chaotic two-scroll system. Finally, we design an electronic circuit for the new highly chaotic two-scroll system using MultiSim 14.2, which is useful for practical applications of the proposed chaotic system.