Generating a novel hyperchaotic system out of equilibrium

In this paper a new no-equilibrium hyperchaotic system is proposed by adding a tiny perturbation to a known hyperchaotic system with a line equilibrium. The fundamental dynamical properties of the new system are discovered including Lyapunov exponents, bifurcation diagram, Poincaré map and limit cycles. In addition, an electronic circuit emulating the new system is also presented to verify the feasibility of theoretical model. Interestingly, by applying the introduced methodology another new memristor-based hyperchaotic system without equilibrium has also been created.