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Stability and small Oscillations

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

Abstract

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.

Keywords

Lyapunov Function Stable Equilibrium Lagrange Equation Equilibrium Configuration Unstable Equilibrium 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsVanderbilt UniversityNashvilleUSA

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