Conserved vectors for the autonomous system \(\ddot r+g(r,\theta)\hat r+h(r,\theta){\hat \theta}=0\)
type: Item
instance of: scholarly article
title: Conserved vectors for the autonomous system \(\ddot r+g(r,\theta)\hat r+h(r,\theta){\hat \theta}=0\)
zbMATH Open document ID: 0629.70013
DOI: 10.1016/0167-2789(87)90015-7
author: V. M. Gorringe
author: P. G. L. Leach
published in: Physica D
publication date: 1987-01-01T00:00:00Z
review text: The conditions under which the autonomous system \(\ddot r+g(r,\theta)\hat r+h(r,\theta){\hat \theta}=0\) admits conserved vectors are determined, the orbit equation derived and some illustrative examples given.
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 70-08
zbMATH DE Number: 4024852
zbMATH Keywords: existence of autonomous first integrals
zbMATH Keywords: two-dimensional autonomous Hamiltonian systems
zbMATH Keywords: orbit equation
MaRDI profile type: Publication
full work available at URL: 0167-2789(87)90015-7
OpenAlex ID: W158668637
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description: scientific article; zbMATH DE number 4024852