The Euler–Poincaré Equations and Semidir
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Darryl D Holm; Jerrold E Marsden; Tudor S Ratiu
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Article
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1998
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Elsevier Science
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English
⚖ 825 KB
We study Euler Poincare systems (i.e., the Lagrangian analogue of Lie Poisson Hamiltonian systems) defined on semidirect product Lie algebras. We first give a derivation of the Euler Poincare equations for a parameter dependent Lagrangian by using a variational principle of Lagrange d'Alembert type.