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A geometric setting for higher-order Dirac-Bergmann theory of constraints. (English) Zbl 0823.70016

Summary: Hamilton equations for degenerate time-dependent, and generally higher- order mechanical systems are considered and their geometric meaning is analyzed. The local dynamics of constrained systems is clarified and an algorithm for finding it is presented.

MSC:

70H03 Lagrange’s equations
70H05 Hamilton’s equations
70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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References:

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