A symplectic formulation of particle dynamics

  • W. M. Tulczyjew
Chapter IV. Symplectic Structures — Mechanics
Part of the Lecture Notes in Mathematics book series (LNM, volume 570)


Symplectic Formulation Symplectic Manifold Integral Curve Cotangent Bundle Particle Dynamic 
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  1. [1]
    Abraham, R. and Marsden, J.E., Foundations of mechanics, Benjamin, New York, 1967Google Scholar
  2. [2]
    Sniatycki, J. and Tulczyjew, W.M., Generating forms of Lagrangian submanifolds, Indiana Univ. Math. J., vol. 22, pp. 267–275 (1972)MathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    Tulczyjew, W.M., Hamiltonian systems, Lagrangian systems and the Legendre transformation, Symposia Mathematica, vol. 15, pp. 247–258 (1974)MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • W. M. Tulczyjew
    • 1
  1. 1.Department of Mathematics and StatisticsThe University of CalgaryCalgaryCanada

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