Zobrazeno 1 - 5
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pro vyhledávání: '"Christian Scheen"'
Autor:
Jacques Demaret, Christian Scheen
Publikováno v:
Physics Letters B. 399:207-214
Using both exact and numerical tools, we show that the analytic structure of SO(3) -invariant spatially homogeneous relativistic dynamics precisely confirms the reliability of discrete mappings due to Belinskij, Khalatnikov and Lifchitz. We propose a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0db7a7ab4c0d67e93a24265ad3fffbe9
https://doi.org/10.1016/s0370-2693(97)00289-x
https://doi.org/10.1016/s0370-2693(97)00289-x
Autor:
Jacques Demaret, Christian Scheen
Publikováno v:
Classical and Quantum Gravity. 13:1909-1930
We perform the Painleve test for the Bianchi type-IX homogeneous geometry studied in the Brans - Dicke theoretical framework and considered in the vacuum case. We show that this spatially homogeneous cosmological dynamics is not integrable in the Pai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2f5a60be0c29ce111d1ed9a64708836
https://doi.org/10.1088/0264-9381/13/7/020
https://doi.org/10.1088/0264-9381/13/7/020
Autor:
Jacques Demaret, Christian Scheen
Publikováno v:
Journal of Physics A: Mathematical and General. 29:59-76
We perform the Painleve test (i.e. the Kowalevskaya - Gambier test or the perturbative test) for the perfect fluid Bianchi type-IX relativistic cosmological model, in order to predict some probable chaotic regimes. This technique enables us to detect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a53dbe37173c19036e8d282485b079b9
https://doi.org/10.1088/0305-4470/29/1/009
https://doi.org/10.1088/0305-4470/29/1/009
We develop a Hamiltonian formulation of the Bianchi type I space-time in conformal gravity, i.e. the theory described by a Lagrangian that is defined by the contracted quadratic product of the Weyl tensor, in a four-dimensional space-time. We derive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::705123bf09f215f9d5903d1e092aa5a1
http://arxiv.org/abs/gr-qc/9811086
http://arxiv.org/abs/gr-qc/9811086
Autor:
Christian Scheen
Publikováno v:
Theoretical Computer Science. (1-2):87-104
By definition, the Painleve test is the set of all techniques which enables one to generate necessary (although generally not sufficient) conditions for the integrability of ordinary (or partial) non-linear differential systems, in the sense of Painl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfd30c1df5ca88237d4e1399ef5e4769