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arxiv: math/0311451 · v1 · pith:WKU457MJnew · submitted 2003-11-25 · 🧮 math.DS · math-ph· math.MP

Symmetry breaking for toral actions in simple mechanical systems

classification 🧮 math.DS math-phmath.MP
keywords symmetrybranchesequilibriagivenmechanicalrelativesimplesystems
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For simple mechanical systems, bifurcating branches of relative equilibria with trivial symmetry from a given set of relative equilibria with toral symmetry are found. Lyapunov stability conditions along these branches are given.

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