Controlling the ultimate state of projective synchronization in chaotic systems of arbitrary dimension.
The ultimate state of projective synchronization is hardly predictable. A control algorithm is thus proposed to manipulate the synchronization in arbitrary dimension. The control law derived from the Lyapunov stability theory with the aid of slack variables is effective to any initial conditions. The method allows us to amplify and reduce the synchronized dynamics in any desired scale with tiny control inputs. Applications are illustrated for seven- and ten-dimensional chaotic systems.
Xu
Daolin
D
School of Mechanical and Production Engineering, Nanyang Technological University, Naryang Avenue 639798, Singapore.
Chee
Chin Yi
CY