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

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

2001-07-12

arxiv.org/abs/math/0107086v2

Mathematics

Differential Geometry

5 pages

Scientific paper

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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