Lewis, D. and Marsden, J. E. and Ratiu, T. S. and Simo, J. C. (1990) Normalizing connections and the energy-momentum method. PAM-496. University of California, Berkeley , Berkeley, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20100923-145142151
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Abstract
The block diagonalization method for determining the stability of relative equilibria is discussed from the point of view of connections. We construct connections whose horizontal and vertical decompositions simultaneosly put the second variation of the augmented Hamiltonian and the symplectic structure into normal form. The cotangent bundle reduction theorem provides the setting in which the results are obtained.
| Item Type: | Report or Paper (Technical Report) | ||||||||||
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| Additional Information: | Partially supported by NSF grant DMS 87-02502. Partially supported by NSF grant DMS 87-01318-01. D Partially supported by AFOSR contracts 2D1A-544 and 2DJA-803. We thank A. Bloch, P. S. Krishnaprasad, R. Montgomery, and A. Weintein for numerous stimulating conversations. | ||||||||||
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| Issue or Number: | PAM-496 | ||||||||||
| Record Number: | CaltechAUTHORS:20100923-145142151 | ||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100923-145142151 | ||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
| ID Code: | 20109 | ||||||||||
| Collection: | CaltechAUTHORS | ||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||
| Deposited On: | 24 Sep 2010 20:18 | ||||||||||
| Last Modified: | 09 Mar 2020 13:19 |
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