LOCALIZATION OF COMPACT INVARIANT SETS OF A 4D SYSTEM AND ITS APPLICATION IN CHAOS

We combine the globally exponentially attractive set with the iterative theory to discuss the boundedness of a Lorenz-Stenflo chaotic system. Firstly, We get a exponentially attractive set for this system. Then, we use iterative theory to get a refined boundedness for this system. Finally, the boundedness for y, z is applied to chaos synchronization. Numerical simulations are presented to show the effectiveness of the proposed scheme.