Suppose a given evolutionary equation has a compact attractor and the evolutionary equation is approximated by a finite-dimensional system. Conditions are given to ensure the approximate system has a compact attractor which converges to the original one as the approximation is refined. Applications are given to parabolic and hyperbolic partial differential equations.
No takes yet. Share an insight, caveat, or question.
Hale et al. (1988) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: