title: On estimates of Lyapunov exponents of synchronized coupled systems.
abstract: Lyapunov exponents of a synchronized coupled system consist of those of the underlying individual systems and the transverse systems, based on a mode decomposition along the synchronization manifold. Estimates of bounds on the Lyapunov exponents (including transverse Lyapunov exponents) are derived. Several examples are used to validate the theoretical estimates.
authors.affiliation: Department of Mathematics, Zhongshan University, Guangzhou 510275, People's Republic of China.
authors.forename: Tianshou
authors.initials: T
authors.lastname: Zhou
authors.forename: Guanrong
authors.initials: G
authors.lastname: Chen
authors.forename: Qishao
authors.initials: Q
authors.lastname: Lu
authors.forename: Xiaohua
authors.initials: X
authors.lastname: Xiong
mesh_terms: D000465:Algorithms; D008433:Mathematics; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D013598:Systems Theory