The direct monodromy problem and isomonodromic deformations for the Rabi model.

Autor: Langøen, René

Externí odkaz: https://hdl.handle.net/11250/3000796

Deforming lie algebras to frobenius integrable nonautonomous hamiltonian systems

Autor: Maciej Błsaszak, Krzysztof Marciniak, Artur Sergyeyev

Publikováno v: Reports on Mathematical Physics. 87:249-263

Motivated by the theory of Painlev\'e equations and associated hierarchies, we study non-autonomous Hamiltonian systems that are Frobenius integrable. We establish sufficient conditions under which a given finite-dimensional Lie algebra of Hamiltonia

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::934bbb65e932d79a0f84723aa0e696d3
https://doi.org/10.1016/s0034-4877(21)00028-8

Systematic construction of nonautonomous Hamiltonian equations of Painleve-type. II. Isomonodromic Lax representation

Autor: Krzysztof Marciniak, Maciej Błaszak, Ziemowit Domański

This is the second article in a suite of articles investigating relations between St\"{a}ckel-type systems and Painlev\'{e}-type systems. In this article we construct isomonodromic Lax representations for Painlev\'{e}-type systems found in the previo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bff909d77b136bedd998595da3cd41b
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-184870

Integrability by separation of variables

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______272::8dd56eeafddf9d868a06a4250505c856
https://hdl.handle.net/2072/441482

Integrability by separation of variables

Autor: Jaume Llibre, Rafael Ramírez

Publikováno v: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname

We study the integrability in the Jacobi sense (integrability by separation of variables), of the Hamiltonian differential systems using the Levi-Civita Theorem. In particular we solve the Stark problem for N > 3 .

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2471749800ec49d231812751ef2afd10
https://ddd.uab.cat/record/228106