Stability of relative equilibria. Part I: Comparison of four methods

Authors
Krupa, M Schagerl, M Steindl, A Troger, H
Citation
M. Krupa et al., Stability of relative equilibria. Part I: Comparison of four methods, MECCANICA, 35(4), 2000, pp. 325-351
Citations number
19
Categorie Soggetti
Mechanical Engineering
Journal title
MECCANICA
ISSN journal
00256455 → ACNP
Volume
35
Issue
4
Year of publication
2000
Pages
325 - 351
Database
ISI
SICI code
0025-6455(2000)35:4<325:SOREPI>2.0.ZU;2-K
Abstract
In this first part of the paper, we review methods for the investigation of stability of relative equilibria of symmetric Hamiltonian systems and expl ain them by means of the model problem of a rotating pendulum. For this exa mple the modern approaches, known as energy momentum methods are compared w ith stability assessment by linearization and by the classical method of Ro uth.