The dynamics of diffusionless Lorenz equations (DLEs) system with periodic parametric perturbation is studied through numerical simulations in this paper. Furthermore, bifurcation and some complex dynamic behaviors such as periodic, quasi-periodic motion and chaos are analyzed. Also Lyapunov exponents (LEs), Lyapunov dimension (LD) are calculated and phase portraits, Poincare sections, bifurcation diagrams are observed. Finally an backstepping controller for DLEs system with the periodic parametric perturbation and unknown parameter is designed. And numerical simulations are carried out in order to verify the analytic results.
展开▼
