Circuit implementation and application of hyperchaotic Lorenz system
Shouquan Pang · Computer Engineering and Applications Journal · 2013
On the basis of the classical three-dimensional Lorenz system,this paper increases a nonlinear controller to construct a new four-dimensional hyperchaotic Lorenz system.The dynamics of the new system conduct are studied by bifurcation analysis,Lyapunov exponent spectrum and phase chart fractal dimension.Numerical simulations show that the hyperchaotic Lorenz system can render different dynamics behavior of hyperchaos,chaos,periodicity and quasi-periodicity.Furthermore,a corresponding experiment circuit is designed,the mechanics conduct of the electrical system through a oscillogram is observed,the result basically unanimous with the numerical simulation results.Finally,the new hyperchaotic system is applied to image encryption,and computer simulation experiments confirm that the new hyperchaotic system can produce good cryptographic properties of pseudo-random sequence.