Dynamical Systems Seminar
主講者: | 楊智烜 教授 (東海大學) |
講題: | Pullback and Forward Attractors for Dissipative Lattice Dynamical Systems with Additive Noise |
時間: | 2007-11-22 (Thu.) 14:00 -15:30 |
地點: | |
Abstract: | We investigate the dissipative dynamical system in the one-dimensional infinite lattice. The dynamics of each node depends on itself and nearby nodes by a nonlinear function. When each node is perturbed with weighted Gaussian white noise, there exists a unique pullback attractor which almost surely attracts random tempered set. Furthermore, we prove that the pullback attractor is not only a random equilibrium but also a forward attractor. Both the pullback and forward convergence to the random equilibrium are at exponential rate. |
|| Close window || |