Multiplicity of symmetric brake orbits of asymptotically linear symmetric reversible Hamiltonian systems

In this paper, we give the relation between a relative Morse index for two continuous symmetric matrices paths in $ {{\bf R}}^{2n} $ satisfying condition (BS1) and the Maslov-type indices under symmetric brake orbit boundary value of these two symmetric matrices paths. As application, we obtain a mu...

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Bibliographic Details
Main Authors: Jiachen Mu, Duanzhi Zhang
Format: Article
Language:English
Published: AIMS Press 2022-04-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022123?viewType=HTML