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arxiv: math/0107086 · v2 · submitted 2001-07-12 · 🧮 math.DG · math.DS· math.SG

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

classification 🧮 math.DG math.DSmath.SG
keywords equivariantstabilityenergy-momentum-casimirliapunovsystemsanalysiscriteriondynamical
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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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