Frontiers of Mathematics in China >

2006 , Vol. 1 >Issue 2: 178 - 200

DOI: https://doi.org/10.1007/s11464-006-0003-0

Index iteration theory for symplectic paths and multiple periodic solution orbits

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

Published date: 05 Jun 2006

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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.

Cite this article

LONG Yi-ming . Index iteration theory for symplectic paths and multiple periodic solution orbits[J]. Frontiers of Mathematics in China, 2006 , 1(2) : 178 -200 . DOI: 10.1007/s11464-006-0003-0

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