Abstract

To describe the dynamics of Hamiltonian systems with differential constraints, a Hamiltonian vector field is projected onto the tangent planes of a distribution using a symplectic structure to obtain a vector field whose phase flow preserves distributions.

The possibility of implementing symplectic projection in degenerate cases is considered when the restriction of the symplectic structure to the tangent planes of a distribution is a degenerate 2-form. An application is presented for studying the systems with one nonintegrable constraint of general form.

The method of symplectic projection is described in the framework of Dirac structures.

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