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The Energy-Momentum Method

Marsden, Jerrold E. and Simo, Juan C. (1990) The Energy-Momentum Method. In: La "Mécanique analytique" de Lagrange et son héritage : colloque, Accademia delle Scienze di Torino, 1, Paris, 27 - 29 septembre 1988. Acta Academiae Scientiarum Taurinensis . Vol.1. No.124 Suppl.. Accademia delle scienze di Torino , Torino, Italy, pp. 245-268. http://resolver.caltech.edu/CaltechAUTHORS:20101019-093814651

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Abstract

This paper develops the energy momentum methodJor studying stability and bifurcation of Lagrangian and Hamiltonian systems with symmetry. The method was specifically designed to deal with the stability of rotating structures. The relation with the energy-Casimir method is given and the energy-momentum method is shown to be more general. Stability of rigid body motion is given 10 illustrate the method. Some discussion of its applicability to general rotating systems and block diagonalization is also given.


Item Type:Book Section
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http://www.cds.caltech.edu/~marsden/bib/1990/05-MaSi1990/AuthorUNSPECIFIED
Additional Information:© 1990, J.E. MARSDEN - Department of Mathematics. University of California. Berkeley. CA 94720. Research partially supported by DOE contract DE-AT03-88ER-12097 and MSI at Cornell University. J.C. SIMO - Division of Applied Mechanics. Stanford University, Stanford. CA 94305. Research partially supported by AFOSR contract 2-DJA-544 and 2-DJA-771. Thanks are due to Bob Grossman, Tim Healey, P.S. Krishnaprasad, Debra Lewis, Jiang-Hua Lu, George Patrick, Tom Posbergh and Tudor Ratiu for their helpful comments and interaction.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-AT03-88ER-12097
Air Force of Scientific Research (AFOSR)2-DJA-544
Air Force of Scientific Research (AFOSR)2-DJA-771
Subject Keywords:Mechanics, Analytic
Record Number:CaltechAUTHORS:20101019-093814651
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20101019-093814651
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20455
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:30 Nov 2010 18:36
Last Modified:26 Dec 2012 12:32

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