Published 1990
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The Energy-Momentum Method
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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.
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.Attached Files
Published - MaSi1990.pdf
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MaSi1990.pdf
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Identifiers
- Eprint ID
- 20455
- Resolver ID
- CaltechAUTHORS:20101019-093814651
Related works
- Describes
- http://www.cds.caltech.edu/~marsden/bib/1990/05-MaSi1990/ (URL)
Funding
- 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
Dates
- Created
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2010-11-30Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field
Caltech Custom Metadata
- Series Name
- Acta Academiae Scientiarum Taurinensis
- Series Volume or Issue Number
- 124 Suppl.