TY - JOUR
T1 - Index Iteration Theory for Brake Orbit Type Solutions and Applications
AU - Liu , Chungen
AU - Long , Yiming
AU - Zhang , Duanzhi
JO - Analysis in Theory and Applications
VL - 2
SP - 129
EP - 156
PY - 2021
DA - 2021/04
SN - 37
DO - http://doi.org/10.4208/ata.2021.pr80.05
UR - https://global-sci.org/intro/article_detail/ata/18768.html
KW - Hamiltonian system, Index theory, Iteration theory, Lagrangian boundary problem, Seifert conjecture, Brake orbits.
AB - <p style="text-align: justify;">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.</p>