Chaos in Fractional-Order Chua's System and Its Synchronization

This paper made further study of the chaotic dynamics to fractional-order Chua's system,simulation results illustrate that the lowest order to existing chaos is just 0.3,and the maximum Lyapunov exponent is 0.0164.Secondly,the design of observers for a class of fractional-order chaotic systems like fractional-order Chua's system with a scalar nonlinear term has been discussed.A proper controller U has been developed for the fractional-order chaotic systems,only by employing a scalar nonlinear signal to feedback one can construct a control law to implement the synchronization between the investigated fractionalorder chaotic system and its observers under the control input.Theoretical analysis and simulation results illustrate the effectiveness of the proposed synchronization method.