• español
  • English
  • français
  • Deutsch
  • português (Brasil)
  • italiano
    • español
    • English
    • français
    • Deutsch
    • português (Brasil)
    • italiano
    • español
    • English
    • français
    • Deutsch
    • português (Brasil)
    • italiano
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Listar

    Todo UVaDOCComunidadesPor fecha de publicaciónAutoresMateriasTítulos

    Mi cuenta

    Acceder

    Estadísticas

    Ver Estadísticas de uso

    Compartir

    Ver ítem 
    •   UVaDOC Principal
    • PRODUCCIÓN CIENTÍFICA
    • Grupos de Investigación
    • Física Matemática
    • FM - Artículos de revista
    • Ver ítem
    •   UVaDOC Principal
    • PRODUCCIÓN CIENTÍFICA
    • Grupos de Investigación
    • Física Matemática
    • FM - Artículos de revista
    • Ver ítem
    • español
    • English
    • français
    • Deutsch
    • português (Brasil)
    • italiano

    Exportar

    RISMendeleyRefworksZotero
    • edm
    • marc
    • xoai
    • qdc
    • ore
    • ese
    • dim
    • uketd_dc
    • oai_dc
    • etdms
    • rdf
    • mods
    • mets
    • didl
    • premis

    Citas

    Por favor, use este identificador para citar o enlazar este ítem:http://uvadoc.uva.es/handle/10324/33632

    Título
    A unified approach to Poisson-Hopf deformations of Lie-Hamilton systems based on sl(2)
    Autor
    Ballesteros Castañeda, ÁngelAutoridad UVA
    Campoamor Stursberg, Rutwig
    Fernandez Saiz, Eduardo
    Herranz, F.J.
    Lucas Veguillas, Javier de
    Año del Documento
    2018
    Descripción
    Producción Científica
    Documento Fuente
    Dobrev, V. (ed.). Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1, 2018. p. 347-366
    Resumen
    Based on a recently developed procedure to construct Poisson-Hopf deformations of Lie–Hamilton systems, a novel unified approach to nonequivalent deformations of Lie–Hamilton systems on the real plane with a Vessiot–Guldberg Lie algebra isomorphic to sl(2) is proposed. This, in particular, allows us to define a notion of Poisson–Hopf systems in dependence of a parameterized family of Poisson algebra representations. Such an approach is explicitly illustrated by applying it to the three non-diffeomorphic classes of sl(2) Lie–Hamilton systems. Our results cover deformations of the Ermakov system, Milne–Pinney, Kummer–Schwarz and several Riccati equations as well as of the harmonic oscillator (all of them with t-dependent coefficients). Furthermore t-independent constants of motion are given as well. Our methods can be employed to generate other Lie–Hamilton systems and their deformations for other Vessiot–Guldberg Lie algebras and their deformations.
    Revisión por pares
    SI
    Idioma
    eng
    URI
    http://uvadoc.uva.es/handle/10324/33632
    Derechos
    openAccess
    Aparece en las colecciones
    • FM - Artículos de revista [134]
    Mostrar el registro completo del ítem
    Ficheros en el ítem
    Nombre:
    1803.07404.pdf
    Tamaño:
    592.1Kb
    Formato:
    Adobe PDF
    Thumbnail
    Visualizar/Abrir

    Universidad de Valladolid

    Powered by MIT's. DSpace software, Version 5.10