Zobrazeno 1 - 8
of 8
pro vyhledávání: '"G B Byrnes"'
Publikováno v:
Journal of Physics A: Mathematical and General. 32:827-844
A universal version of the Hamilton-Jacobi equation on R TMarises from the Liouville-Arnol'd theorem for a completely integrable system on a finite-dimensional manifold M. We give necessary and sufficient conditions for such complete integrability to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26d54cfa3cc8003344071ba9625235d1
https://doi.org/10.1088/0305-4470/32/5/013
https://doi.org/10.1088/0305-4470/32/5/013
Autor:
G B Byrnes
Publikováno v:
Journal of Physics A: Mathematical and General. 29:1685-1694
A linear connection is defined on the space of N-jets of sections of , where B is one-dimensional. This is a first step toward classifying (N + 1)th-order, time-dependent ordinary differential equations. The module of vector fields on splits into coo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aaa12b2236cce7464da616441bd0da9e
https://doi.org/10.1088/0305-4470/29/8/016
https://doi.org/10.1088/0305-4470/29/8/016
Autor:
G B Byrnes
Publikováno v:
Journal of Physics A: Mathematical and General. 28:4925-4944
We generalize the theory of Lie symmetries of ordinary difference equations to the nonautonomous case. A coordinate-invariant treatment in which solutions are sections of a fibre-bundle is employed. It is shown that Lie symmetries of difference equat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2b8673fa7aa6d94172ea9c476def395b
https://doi.org/10.1088/0305-4470/28/17/023
https://doi.org/10.1088/0305-4470/28/17/023
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 117:353-370
We show that the Liouville-Arnol'd theorem concerning knowledge of involutory first integrals for Hamiltonian systems is available for any system of second order ordinary differential equations. In establishing this result we also provide a new proof
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::044744fc4c0153b60a748bde7efba114
https://doi.org/10.1017/s0305004100073187
https://doi.org/10.1017/s0305004100073187
Autor:
G B Byrnes
Publikováno v:
Journal of Physics A: Mathematical and General. 27:6617-6632
The various derivations defined along the tangent bundle projection tau in a series of papers by Martinez, Carinena and Sarlet (1992) are expressed as components of a single linear connection Del on E, the tangent bundle of the evolution space E=R*T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd1c72d47eefa10bb267e9668da817e8
https://doi.org/10.1088/0305-4470/27/19/030
https://doi.org/10.1088/0305-4470/27/19/030
Publikováno v:
Diabetologia. 47:2247-2247
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4503bf73e01e7e3ed81c95ddea487fcb
https://doi.org/10.1007/s00125-004-1621-2
https://doi.org/10.1007/s00125-004-1621-2
Autor:
G B Byrnes
Publikováno v:
Classical and Quantum Gravity. 4:1347-1356
The structure of a complex manifold with a bilinear (complex-valued) metric is examined. It is shown to admit spacetime-like submanifolds, the choice of which corresponds to a gauge freedom. Particles which follow complex geodesics of the manifold ha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::29d9c747741c11ee77f7d4ade463c86f
https://doi.org/10.1088/0264-9381/4/5/029
https://doi.org/10.1088/0264-9381/4/5/029
Publikováno v:
Scopus-Elsevier
We discuss the separability of the Hamilton-Jacobi equation for the Kerr metric. We use a recent theorem which says that a completely integrable geodesic equation has a fully separable Hamilton-Jacobi equation if and only if the Lagrangian is a compo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cccece116fc8d0c6d0e0190bc3ce8785
http://www.scopus.com/inward/record.url?eid=2-s2.0-33748577726&partnerID=MN8TOARS
http://www.scopus.com/inward/record.url?eid=2-s2.0-33748577726&partnerID=MN8TOARS
