Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems

Authors

  • G.F. Torres del Castillo
  • I. Rubalcava García

Keywords:

Non-autonomous systems, Hamilton equations, Lagrangians

Abstract

It is shown that a given non-autonomous system of two first-order ordinary differential equations can be expressed in Hamiltonian form. The derivation presented here allows us to obtain previously known results such as the infinite number of Hamiltonians in the autonomous case and the Helmholtz condition for the existence of a Lagrangian.

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Published

2006-01-01

How to Cite

[1]
G. Torres del Castillo and I. Rubalcava García, “Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems”, Rev. Mex. Fís., vol. 52, no. 5, pp. 429–0, Jan. 2006.

Issue

Vol. 52 No. 5 (2006): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.