Unified formalism for non-autonomous mechanical systems
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hdl:2117/1926
Tipus de documentArticle
Data publicació2008-02-29
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Abstract
We present a unified geometric framework for describing
both the Lagrangian and Hamiltonian formalisms of regular
and non-regular time-dependent mechanical systems, which is
based on the approach of Skinner and Rusk (1983). The
dynamical equations of motion and their compatibility and
consistency are carefully studied, making clear that all
the characteristics of the Lagrangian and the Hamiltonian
formalisms are recovered in this formulation. As an
example, it is studied a semidiscretization of the
nonlinear wave equation proving the applicability of the
proposed formalism.
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