Chaos Controlling in a Class of Nonlinear Electrical Oscillator

The complex dynamics behavior of a class of nonlinear electrical oscillator described by Duffing's equation is studied.The dynamical equation of the system is established by using Kirchhoff's law.The characteristic of chaotic attractors of the system are analyzed by the Poincare sections.Routes from doubling-periodic bifurcation to chaos are analyzed by the bifurcation diagram and Lyapunov exponents,and the Lyapunov exponents corresponded to bifurcation diagrams of the system are confirmed.A technique of non-linear feedback control approach to control chaos is to be given,which can switch the chaotic motion to the desired periodic orbits effectively.Based on the non-linear feedback control,the different stable periodic orbits are obtained by adjusting the feedback coefficients.