Generalized synchronization for delayed chaotic neural networks: a novel coupling scheme. (English) Zbl 1111.37022

Huang, Xia; Cao, Jinde

Nonlinearity 19, No. 12, 2797-2811 (2006).

A novel coupling scheme with different coupling delays is presented to achieve generalized synchronization (complete synchronization (CS), anticipating synchronization (AS) and lag synchronization (LS)). The Lyapunov-Krasovskii functional method is employed to investigate the global asymptotic stability of the error dynamical system. The theoretical analysis indicates that delayed chaotic neural networks coupled in this way can switch arbitrarily among CS, AS and LS under the newly proposed coupling configuration. Switching among different kinds of synchronization can be done by changing the transformation time of the coupling signal. Numerical simulations agree with the theoretical analysis.

MSC:

37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34K23	Complex (chaotic) behavior of solutions to functional-differential equations
37N25	Dynamical systems in biology
92B20	Neural networks for/in biological studies, artificial life and related topics
93D15	Stabilization of systems by feedback
34K20	Stability theory of functional-differential equations

Keywords:

complete synchronization; anticipating synchronization; lag synchronization; global asymptotic stability; error dynamical system; coupling configuration; switching; chaos synchronization