Index iteration theory for symplectic paths and multiple periodic solution orbits

Abstract

In this paper, a survey on the index iteration theory for symplectic paths is given. Three applications of this theory are presented including closed characteristics on convex hypersurfaces and brake orbits on bounded domains.

Keywords

symplectic paths / index function theory / iteration theory / closed characteristics / brake orbits / 58E05 / 37J45 / 37J25 / 70H12

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