Index Iteration Theory for Brake Orbit Type Solutions and Applications

Authors

  • Chungen Liu
  • Yiming Long
  • Duanzhi Zhang

DOI:

https://doi.org/10.4208/ata.2021.pr80.05

Keywords:

Hamiltonian system, Index theory, Iteration theory, Lagrangian boundary problem, Seifert conjecture, Brake orbits.

Abstract

In this paper, we give a survey on the index iteration theory of an index theory for brake orbit type solutions and its applications in the study of brake orbit problems including the Seifert conjecture and the minimal period solution problems in brake orbit cases.

Published

2021-12-01

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Section

Articles

How to Cite

Index Iteration Theory for Brake Orbit Type Solutions and Applications. (2021). Analysis in Theory and Applications, 37(2), 129-156. https://doi.org/10.4208/ata.2021.pr80.05