Stability of Relative Equilibria. Part I: Comparison of Four Methods

Author: Krupa M.  

Publisher: Springer Publishing Company

ISSN: 0025-6455

Source: Meccanica, Vol.35, Iss.4, 2000-01, pp. : 325-351

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Abstract

In this first part of the paper, we review methods for the investigation of stability of relative equilibria of symmetric Hamiltonian systems and explain them by means of the model problem of a rotating pendulum. For this example the modern approaches, known as energy momentum methods are compared with stability assessment by linearization and by the classical method of Routh.