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  • Computation of limit cycles and their isochrons: Fast algorithms and their convergence 

    Huguet Casades, Gemma; de la Llave Canosa, Rafael (2013)
    Restricted access - publisher's policy
    We present efficient algorithms to compute limit cycles and their isochrons (i.e., the sets of points with the same asymptotic phase) for planar vector fields. We formulate a functional equation for the parameterization ...
  • Limit cycles and Lie symmetries 

    Freire, Emilio; Gasull Embid, Armengol; Guillamon Grabolosa, Antoni (2005)
    Open Access
    Given a planar vector field U which generates the Lie symmetry of some other vector field X, we prove a new criterion to control the stability of the periodic orbits of U. The problem is linked to a classical problem ...