Minimal period solutions in asymptotically linear Hamiltonian system with symmetries
type: Item
instance of: scholarly article
title: Minimal period solutions in asymptotically linear Hamiltonian system with symmetries
zbMATH Open document ID: 1473.37077
author: Zhiping Fan
author: Duanzhi Zhang
published in: Discrete and Continuous Dynamical Systems
publication date: 2021-06-04T00:00:00Z
review text: The paper studies minimal period problems in asymptotically linear Hamiltonian systems with symmetries. It continues previous research in the field and generalizes existing results in the literature. The main results are given in two theorems which define the conditions under which an asymptotically linear Hamiltonian system has non-constant periodic and brake solution with minimal period. The paper contains two appendices with necessary definitions and background theoretical material, e.g., the definition of Maslov-type indices and their relation with Morse indices, the saddle point reduction theorem and its application to Hamiltonian systems. This helps to understand the proofs and enables one to reproduce all the calculations.
Mathematics Subject Classification ID: 37J46
Mathematics Subject Classification ID: 37J51
Mathematics Subject Classification ID: 70H33
Mathematics Subject Classification ID: 70H12
Mathematics Subject Classification ID: 70H14
zbMATH DE Number: 7355409
zbMATH Keywords: minimal period
zbMATH Keywords: Maslov-type indices
zbMATH Keywords: brake orbits
zbMATH Keywords: asymptotically linear Hamiltonian systems
reviewed by: A. N. Prokopenya
MaRDI profile type: Publication
full work available at URL: dcds.2020354
OpenAlex ID: W3094563755
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DOI: 10.3934/DCDS.2020354
description: scientific article; zbMATH DE number 7355409