Numerical analysis and circuit realization of the modified LÜ chaotic system

Abstract

A novel three-dimensional autonomous chaotic system from the LÜ chaotic system is given. By using the theoretical analysis and numerical simulation, we provide an insight into the dynamic properties and characterizations of this system, such as Hopf bifurcation. In particular, we are interested in focusing on the dependence of varying parameters on chaos with the help of some chaos indicators including the fast Lyapunov indicator, small alignment indexes and Lyapunov exponent. It is shown that growing the parameter c leads to the extent of chaos. Finally, a chaotic electronic circuit is designed for the realization of the chaotic attractor with aim of Multisim software, and it gives almost the same rules of types of orbits as numerical ones by an alternating value of a circuital resistor.