Circuit Simulation of the Modified Lorenz System

We propose a novel three-dimensional autonomous chaotic system originating from the Lorenz chaotic system. With help of the theoretical analysis and the numerical simulation, the dynamic properties and characterization of this system are studied such as Hopf bifurcation etc.. In particular, fast Lyapunov indicator, small alignment indexes and Lyapunov exponent are used to estimate the effects on the dynamics, of varying parameter that correspond to ordered or chaotic orbits. It is found that increasing value of the parameter r always leads to the extent of chaos. Finally, by Multisim software, a chaotic electronic circuit is designed for the realization of the chaotic attractor, and along with the change of circuital resistor value, it gives almost the same rules of types of orbits as numerical ones.