An Equivariant Liapunov Stability Test and the Energy-Momentum-Casimir Method

2001/07/12 by Eric T. Matsui, Matsui, Eric T. · 1 citation
Mathematics · Physics and Astronomy · #Mechanical and Optical Resonators #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #math.DG #math.DS #math.SG #msc:37J15 #msc:37J25

paper · pdf · doi:10.48550/arxiv.math/0107086

5 pages

arxiv created 2002/02/11 · arxiv updated 2009/11/30

Abstract

We present an equivariant Liapunov stability criterion for dynamical systems with symmetry. This result yields a simple proof of the energy-momentum-Casimir stability analysis of relative equilibria of equivariant Hamiltonian systems.

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