Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
33 (1992), S. 599-606
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Owing to the so-called Lie–Koenigs theorem, any (finite-dimensional) dynamical system can be put into Hamiltonian form locally. To that end, the introduction of dummy variables is not necessary, provided that the original system is even dimensional and that we allow for an explicitly time-dependent symplectic structure. In this paper, inquiry is made as to which conditions are needed for a universality statement similar to the Lie–Koenigs theorem to hold true globally. In addition, the passage to the Lagrangian formalism is discussed, and the results are illustrated by three examples.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.529795
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