SERGYEYEV, Artur, Maciej BŁASZAK a Krzysztof MARCINIAK. Deforming lie algebras to frobenius integrable nonautonomous hamiltonian systems. Reports on Mathematical Physics. Oxford (GB): Elsevier Ltd., 2021, roč. 87, č. 2, s. 249-263. ISSN 0034-4877. Dostupné z: https://dx.doi.org/10.1016/S0034-4877(21)00028-8. |
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@article{54461, author = {Sergyeyev, Artur and Błaszak, Maciej and Marciniak, Krzysztof}, article_location = {Oxford (GB)}, article_number = {2}, doi = {http://dx.doi.org/10.1016/S0034-4877(21)00028-8}, keywords = {Frobenius integrability; Lie algebras; Liouville integrability; quasi-Stäckel systems; separable systems}, language = {eng}, issn = {0034-4877}, journal = {Reports on Mathematical Physics}, title = {Deforming lie algebras to frobenius integrable nonautonomous hamiltonian systems}, url = {https://www.sciencedirect.com/science/article/pii/S0034487721000288}, volume = {87}, year = {2021} }
TY - JOUR ID - 54461 AU - Sergyeyev, Artur - Błaszak, Maciej - Marciniak, Krzysztof PY - 2021 TI - Deforming lie algebras to frobenius integrable nonautonomous hamiltonian systems JF - Reports on Mathematical Physics VL - 87 IS - 2 SP - 249-263 EP - 249-263 PB - Elsevier Ltd. SN - 00344877 KW - Frobenius integrability KW - Lie algebras KW - Liouville integrability KW - quasi-Stäckel systems KW - separable systems UR - https://www.sciencedirect.com/science/article/pii/S0034487721000288 N2 - Motivated by the theory of Painlevé equations and associated hierarchies, we study nonautonomous Hamiltonian systems that are Frobenius integrable. We establish sufficient conditions under which a given finite-dimensional Lie algebra of Hamiltonian vector fields can be deformed into a time-dependent Lie algebra of Frobenius integrable vector fields spanning the same distribution as the original algebra. The results are applied to quasi-Stäckel systems from [14]. ER -
SERGYEYEV, Artur, Maciej BŁASZAK a Krzysztof MARCINIAK. Deforming lie algebras to frobenius integrable nonautonomous hamiltonian systems. \textit{Reports on Mathematical Physics}. Oxford (GB): Elsevier Ltd., 2021, roč.~87, č.~2, s.~249-263. ISSN~0034-4877. Dostupné z: https://dx.doi.org/10.1016/S0034-4877(21)00028-8.
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