反应扩散方程相应格点系统的吸引子和Kolmogorovε熵

Attractors and Kolmogorov's ε-Entropy for Lattice Systems Corresponding to Reaction-diffusion Equation

通过在无穷序列空间中引入新的加权范数,证明了在某些耗散条件下反应扩散方程相应的格点系统存在全局吸引子,并且得到了该全局吸引子的Kolmogorovε熵的一个上界。

In this paper,by introducing new weight norms in spaces of infinite sequences,it is proved that under some dissipative conditions the lattice system corresponding to reaction-diffusion equation possesses a global attractor.An estimate of the upper bound of the Kolmogorov’s ε-entropy of the global attractor is obtained.