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

Eric T.
 Matsui

doi:jsg/1092749565

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March, 2003 An equivariant Liapunov stability test and the energy-momentum-Casimir method

Eric T. Matsui

J. Symplectic Geom. 1(4): 683-694 (March, 2003).

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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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Eric T. Matsui . "An equivariant Liapunov stability test and the energy-momentum-Casimir method." J. Symplectic Geom. 1 (4) 683 - 694, March, 2003.

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Published: March, 2003

First available in Project Euclid: 17 August 2004

MathSciNet: MR2039160

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J. Symplectic Geom.

Vol.1 • No. 4 • March, 2003

International Press of Boston

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Eric T. Matsui "An equivariant Liapunov stability test and the energy-momentum-Casimir method," Journal of Symplectic Geometry, J. Symplectic Geom. 1(4), 683-694, (March, 2003)

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