Manipulating the scaling factor of projective synchronization in three-dimensional chaotic systems.
Scaling factor characterizes the synchronized dynamics of projective synchronization in partially linear chaotic systems but it is difficult to be estimated. To manipulate projective synchronization of chaotic systems in a favored way, a control algorithm is introduced to direct the scaling factor onto a desired value. The control approach is derived from the Lyapunov stability theory. It allows us to arbitrarily amplify or reduce the scale of the response of the slave system via a feedback control on the master system. In numerical experiments, we illustrate the application to the Lorenz system. (c) 2001 American Institute of Physics.
Xu
Daolin
D
Center for Advanced Numerical Engineering Simulation, School of Mechanical and Production Engineering, Nanyang Technological University, 639798 Singapore, Singapore.
Li
Zhigang
Z
Bishop
Steven R.
SR