Browsing by Author "Koltsova, Oksana"
Koltsova, Oksana; Lerman, L. M. (Lev M.); Delshams Valdés, Amadeu; Gutiérrez Serrés, Pere (2003)
Open AccessWe consider a perturbation of an integrable Hamiltonian vector field with three degrees of freedom with a center–center–saddle equilibrium having a homoclinic orbit or loop. With the help of a Poincaré map (chosen based ...
Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel'nikov method Delshams Valdés, Amadeu; Gutiérrez Serrés, Pere; Koltsova, Oksana; Pacha Andújar, Juan Ramón (2010-10)
Restricted access - publisher's policyWe consider a perturbation of an integrable Hamiltonian system having an equilibrium point of elliptic-hyperbolic type, having a homoclinic orbit. More precisely, we consider an (n + 2)-degree-of-freedom near integrable ...