Index iteration theory for symplectic paths and multiple periodic solution orbits |
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| Authors: | Yi-ming Long |
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| Institution: | (1) Chern Institute of Mathematics Key Lab of Pure Mathematics and Combinatorics of Ministry of Education Nankai University, Tianjin, 30071, China |
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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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| Keywords: | symplectic paths index function theory iteration theory closed characteristics brake orbits |
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