Published April 1990
| Published
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Open
Normalizing connections and the energy-momentum method
- Creators
- Lewis, D.
- Marsden, J. E.
-
Ratiu, T. S.
- Simo, J. C.
- Others:
- Harnad, J. P.
- Marsden, J. E.
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.
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.Attached Files
Published - LeMaRaSi1990.pdf
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LeMaRaSi1990.pdf
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Additional details
- Eprint ID
- 20109
- Resolver ID
- CaltechAUTHORS:20100923-145142151
- DMS 8702502
- NSF
- DMS 8701318-01
- NSF
- 2-DJA-544
- Air Force Office of Scientific Research (AFOSR)
- 2-DJA-803
- Air Force Office of Scientific Research (AFOSR)
- Created
-
2010-09-24Created from EPrint's datestamp field
- Updated
-
2020-03-09Created from EPrint's last_modified field