The geometrical meaning and globalization of the Hamilton-Jacobi method-Reference-Cited by-同舟云学术

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The geometrical meaning and globalization of the Hamilton-Jacobi method

Published:1980 Issue: Volume: Page:9-21
ISSN:0075-8434
Container-title:Lecture Notes in Mathematics
language:
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Author:

Benenti S.,Tulczyjew W. M.

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/BFb0089724

Reference7 articles.

1. R.Abraham & J.Marsden, Foundations of Mechanics, Benjamin-Cummings (1978).

2. C.Carathéodory, Calculus of variations and partial differential equations of first order, Part I, Holden-Day (1965).

3. P.A.M. Dirac, Canad. J. Math., 2 (1950), 129–148.

4. A. Lichnerowicz, C. R. Acad. Sci. Paris, A-280 (1975), 523–527.

5. M.R. Menzio & W.M. Tulczyjew, Ann. Inst. H. Poincaré, 27 (1978), 349–367.

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2. A Hamilton–Jacobi formalism for higher order implicit Lagrangians;Journal of Physics A: Mathematical and Theoretical;2020-01-22

3. Lagrangian submanifolds and the Hamilton–Jacobi equation;Monatshefte für Mathematik;2013-06-02

4. Geometry of plasma dynamics II: Lie algebra of Hamiltonian vector fields;Journal of Geometric Mechanics;2012

5. Commuting Hamiltonians and Hamilton-Jacobi multi-time equations;Duke Mathematical Journal;2008-08-15

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