The Dynamical Analysis of a Disk Dynamo System and Its Application in Chaos Synchronization

The ultimate bound,positively invariant set and globally exponentially attractive set of a disk dynamo system are investigated via constructing a Lyapunov function. Firstly,we derive a four-dimensional ellipsoidal bound for this system.Secondly,the bound-edness of the system is applied to the complete chaos synchronization.Finally,the corre-sponding numerical simulations are performed.