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Index iteration theory for symplectic paths and multiple periodic solution orbits

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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.

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  1. Chern Institute of Mathematics Key Lab of Pure Mathematics and Combinatorics of Ministry of Education Nankai University, Tianjin, 30071, China

    Long Yi-ming

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Long, Ym. Index iteration theory for symplectic paths and multiple periodic solution orbits. Front. Math. China 1, 178–200 (2006). https://doi.org/10.1007/s11464-006-0003-0

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