Inertial fractal set and fractal structure of attractors for the Ginzburg-Landau equation (Q1299848)

The paper deals with stability of attractors under small perturbations. It is well-known that the global attractor is very sensitive with respect to small perturbations. For the Ginzburg-Landau equations (in low dimensions, \(n= 1\) or 2) the authors construct a fractal exponentially approximate localizing sequence of the attractor \({\mathcal M}\). As a result the authors obtain a fractal structure of the attractor.