Synchronization and anti-synchronization of new uncertain hyperchaotic systems via novel active pinning control

This paper discusses the synchronization and anti-synchronization of new uncertain hyperchaotic systems. Based on the idea of active control, a novel active pinning control strategy is presented, which only needs a state of uncertain new hyperchaotic systems. The proposed controller can achieve synchronization and anti-synchronization between a response system and a drive system, and ensure the synchronized robust stability of uncertain new hyperchaotic systems. Numerical simulations of new hyperchaotic systems show that the controller can make chaotic systems achieve synchronization or anti-synchronization in a quite short period and both are of good robust stability.