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

Differential Geometry 2007-05-23 v2 Dynamical Systems Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.math/0107086,
  title  = {An Equivariant Liapunov Stability Test and the Energy-Momentum-Casimir Method},
  author = {Eric T. Matsui},
  journal= {arXiv preprint arXiv:math/0107086},
  year   = {2007}
}

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5 pages