Перегляд за автором "Cariñena, J.F."

Сортувати за: Порядок: Результатів:

  • A Quasi-Lie Schemes Approach to Second-Order Gambier Equations 
    Cariñena, J.F.; Guha, P.; de Lucas, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A quasi-Lie scheme is a geometric structure that provides t-dependent changes of variables transforming members of an associated family of systems of first-order differential equations into members of the same family. In ...
  • A Super-Integrable Two-Dimensional Non-Linear Oscillator with an Exactly Solvable Quantum Analog 
    Cariñena, J.F.; Rañada, M.F.; Santander, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Two super-integrable and super-separable classical systems which can be considered as deformations of the harmonic oscillator and the Smorodinsky-Winternitz in two dimensions are studied and identified with motions in ...
  • Quasi-Bi-Hamiltonian Structures of the 2-Dimensional Kepler Problem 
    Cariñena, J.F.; Rañada, M.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The existence of quasi-bi-Hamiltonian structures for the Kepler problem is studied. We first relate the superintegrability of the system with the existence of two complex functions endowed with very interesting Poisson ...
  • Recent Applications of the Theory of Lie Systems in Ermakov Systems 
    Cariñena, J.F.; de Lucas, J.; Rañada, M.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We review some recent results of the theory of Lie systems in order to apply such results to study Ermakov systems. The fundamental properties of Ermakov systems, i.e. their superposition rules, the Lewis-Ermakov invariants, ...