Index iteration theory for symplectic paths and multiple periodic solution orbits

doi:10.1007/s11464-006-0003-0

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Front. Math. China ›› 2006, Vol. 1 ›› Issue (2) : 178-200. DOI: 10.1007/s11464-006-0003-0

Index iteration theory for symplectic paths and multiple periodic solution orbits

LONG Yi-ming

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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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LONG Yi-ming. Index iteration theory for symplectic paths and multiple periodic solution orbits. Front. Math. China, 2006, 1(2): 178‒200 https://doi.org/10.1007/s11464-006-0003-0