Stability and small Oscillations

  • Emmanuele DiBenedetto
Part of the Cornerstones book series (COR)


Let \(\{\mathcal{M};d\mu \}\)be a mechanical system with N degrees of freedom, by the Lagrangian parameters \(({q}_{1},\ldots, {q}_{N})\). We will assume that \(\{\mathcal{M};d\mu \}\)is subject to fixed holonomic constraints satisfying the principle of virtual work and is acted upon by conservative forces.


Lyapunov Function Stable Equilibrium Lagrange Equation Equilibrium Configuration Unstable Equilibrium 
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsVanderbilt UniversityNashvilleUSA

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