Parameter identification for a class of nonlinear chaotic and hyperchaotic flows

Based on the stability theory, an accurate and fast parameter identification law of chaotic and hyperchaotic flows is created by selecting right initial values and suitable observers. The suitable observers are designed and used to identify any uncertain parameters of chaotic and hyperchaotic flows. Furthermore, the accuracy of parameter identification is very much improved by making use of wavelet de-noising. Theory analysis and numerical simulations of Lorenz and hyperchaotic Chen systems are implemented to verify the effectiveness and feasibility of the observers to identify the parameters.