title: A new scheme to generalized (lag, anticipated, and complete) synchronization in chaotic and hyperchaotic systems.
abstract: In this paper, a generalized (lag, anticipated, and complete) synchronization of a class of continuous-time systems is defined. A systematic, powerful and concrete scheme is developed to investigate the generalized (lag, anticipated, and complete) synchronization between the drive system and response system based on the active control idea. The hyperchaotic Rössler system, transformed Rössler and Chen system as well as two coupled nonidentical Rössler oscillators are chosen to illustrate the proposed scheme. Numerical simulations are used to verify the effectiveness of the proposed scheme. The scheme can be also extended to research generalized (lag, anticipated, and complete) synchronization between other dynamical systems.
authors.affiliation: Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100080, People's Republic of China. zyyan@mmrc.iss.ac.cn
authors.forename: Zhenya
authors.initials: Z
authors.lastname: Yan
mesh_terms: D000465:Algorithms; D003201:Computers; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D013598:Systems Theory