Dynamics of a Strengthened Chaotic System and Its Circuit Implementation

To strengthen a chaotic system, a state feedback controller is applied to generate hyperchaotic behaviors based on the simplified Lorenz system, and a coordinate transformation is used for converting topological structure of the hyperchaotic system from two wings to four wings. Complex dynamics of the hyperchaotic and four-wing attractor system are analyzed and verified by Lyapunov exponent spectrums, bifurcation diagrams, phase portraits, Poincaré sections and circuit realization. The circuit experiment results are agreed well with the simulation results, and it lays a good foundation for the chaotic secure communication.