中国物理B ›› 2013, Vol. 22 ›› Issue (8): 80505-080505.doi: 10.1088/1674-1056/22/8/080505
Giuseppe Grassi
Giuseppe Grassi
摘要: Referring to continuous-time chaotic systems, this paper presents a new projective synchronization scheme, which enables each drive system state to be synchronized with a linear combination of response system states for any arbitrary scaling matrix. The proposed method, based on a structural condition related to the uncontrollable eigenvalues of the error system, can be applied to a wide class of continuous-time chaotic (hyperchaotic) systems and represents a general framework that includes any type of synchronization defined to date. An example involving a hyperchaotic oscillator is reported, with the aim of showing how a response system attractor is arbitrarily shaped using a scalar synchronizing signal only. Finally, it is shown that the recently introduced dislocated synchronization can be readily achieved using the conceived scheme.
中图分类号: (Nonlinear dynamics and chaos)