Theory of Controlling Instability in l -D Nonlinear Systems withAdaptive Method

Theory of controlling instability based on the Lyapunov stability and the criterion of convergence for selecting the control stiffness ε and the magnitude of deviation in one dimensional nonlinear systems with adaptive method have been given. This method can be applied not only to chaotic attractor but also to the situation of bifurcations, and it is simple, reliable, efficient, and easy of automatic control.