On estimates of Lyapunov exponents of synchronized coupled systems.
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.
Zhou
Tianshou
T
Department of Mathematics, Zhongshan University, Guangzhou 510275, People's Republic of China.
Chen
Guanrong
G
Lu
Qishao
Q
Xiong
Xiaohua
X
D000465:Algorithms; D008433:Mathematics; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D013598:Systems Theory