On a theorem of Weinstein
type: Item
instance of: scholarly article
title: On a theorem of Weinstein
zbMATH Open document ID: 0631.34055
DOI: 10.1016/0022-0396(87)90174-4
author: Paul H. Rabinowitz
published in: Journal of Differential Equations
publication date: 1987-01-01T00:00:00Z
review text: The existence of a special sort of periodic solutions called ``brake orbits'' of a Hamiltonian system satisfying some technical conditions is proved. The method of proof is to reduce the problem to that of finding a critical point of a corresponding functional.
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37G99
zbMATH DE Number: 4025901
zbMATH Keywords: brake orbits
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: critical point
reviewed by: Helmut Rüssmann
MaRDI profile type: Publication
full work available at URL: 0022-0396(87)90174-4
OpenAlex ID: W2062929473
cites work: Periodic orbits for convex hamiltonian systems
cites work: Periodische Bewegungen mechanischer Systeme
cites work: Periodic solutions of Hamiltonian system on a prescribed energy surface
cites work: Q3946497
cites work: Q5613831
cites work: Q5636090
cites work: Q3336423
cites work: Periodic solution of classical Hamiltonian systems
cites work: Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural hamiltonian systems
cites work: Existence of multiple normal mode trajectories on convex energy surfaces of even, classical Hamiltonian systems
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description: scientific article; zbMATH DE number 4025901