The influence of distributed delay coupling on Turing pattern in reaction diffusion system was investigated. Numerical-simulation results proved that the distributed delay of the coupling can significantly influence t...The influence of distributed delay coupling on Turing pattern in reaction diffusion system was investigated. Numerical-simulation results proved that the distributed delay of the coupling can significantly influence the spatiotemporal property,even the stable dynamic of the system.The local distributed coupling can spatially orient the pattern at an appropriate coupling strength.展开更多
A model of Hopfield neural networks with continuously distributed delays is considered. A new sufficient condition which guarantees global exponential stability of an equilibrium point is given based on Lyapunov funct...A model of Hopfield neural networks with continuously distributed delays is considered. A new sufficient condition which guarantees global exponential stability of an equilibrium point is given based on Lyapunov functional approach and inequality technique. Compared with the previous results, our result provides a wider range since it possesses many adjustable parameters.展开更多
文摘The influence of distributed delay coupling on Turing pattern in reaction diffusion system was investigated. Numerical-simulation results proved that the distributed delay of the coupling can significantly influence the spatiotemporal property,even the stable dynamic of the system.The local distributed coupling can spatially orient the pattern at an appropriate coupling strength.
文摘A model of Hopfield neural networks with continuously distributed delays is considered. A new sufficient condition which guarantees global exponential stability of an equilibrium point is given based on Lyapunov functional approach and inequality technique. Compared with the previous results, our result provides a wider range since it possesses many adjustable parameters.