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Inertial manifolds and attractors in infinite dimensional dynamical systems. (Chinese. English summary) Zbl 0748.58016

Summary: This paper reviews the development in studies of infinite dimensional dynamical systems in recent years, together with their basic theory and some results in relation with inertial manifolds and attractors. A discussion is made on their development in future.

MSC:

37C70 Attractors and repellers of smooth dynamical systems and their topological structure
58-02 Research exposition (monographs, survey articles) pertaining to global analysis