Open AccessGeneralized synchronization of hyperchaos systems
Author(s) -
Xingyuan Wang,
Juan Meng
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.6288
Subject(s) - synchronization (alternating current) , lyapunov stability , control theory (sociology) , nonlinear system , computer science , stability (learning theory) , scheme (mathematics) , mathematics , lyapunov function , physics , mathematical analysis , control (management) , telecommunications , quantum mechanics , artificial intelligence , machine learning , channel (broadcasting)
The generalized synchronization of hyperchaos systems is investigated. Based on the Lyapunov stability theory, a new linear and nonlinear generalized synchronization approach is proposed. Theoretical analysis is provided to show its feasibility. The proposed method can realize the generalized synchronization not only of structurally equivalent systems, but also of systems of different dimensions. If the error gain matrix is suitably chosen, the generalized synchronization between drive system and response system will be obtained. Numerical simulations further demonstrate the effectiveness of the proposed scheme.