Journal of Symplectic Geometry

Volume 1 (2001)

Number 4

An equivariant Liapunov stability test and the energy-momentum-Casimir method

Pages: 683 – 694

DOI: https://dx.doi.org/10.4310/JSG.2001.v1.n4.a2

Author

Eric T. Matsui

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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Published 1 January 2001