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.
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