Browsing by Author "Gonchenko, Sergey"

Now showing items 1-4 of 4

  • Mixed dynamics in reversible maps with gure-8 homoclinic connections 

    Delshams Valdés, Amadeu; Gonchenko, Sergey; Lázaro Ochoa, José Tomás (2014)
    Conference report
    Open Access
    We study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle periodic points. We consider one-parameter families of rev ersible maps unfolding ...

  • Mixed dynamics of two-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies 

    Lázaro Ochoa, José Tomás; Delshams Valdés, Amadeu; Gonchenko, Marina; Gonchenko, Sergey (American Institute of Mathematical Sciences, 2018-09)
    Article
    Restricted access - publisher's policy
    We study dynamics and bifurcations of 2-dimensional reversible maps having a symmetric saddle fixed point with an asymmetric pair of nontransversal homoclinic orbits (a symmetric nontransversal homoclinic figure-8). We ...

  • On bifurcations of homoclinic tangencies in area-preserving maps on non-orientable manifolds 

    Delshams Valdés, Amadeu; Gonchenko, Marina; Gonchenko, Sergey (Springer, 2016)
    Part of book or chapter of book
    Restricted access - publisher's policy
    We study bifurcations of non-orientable area-preserving maps with quadratic homoclinic tangencies. We study the case when the maps are given on non-orientable two-dimensional manifolds. We consider one and two parameter ...

  • On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps 

    Gonchenko, Marina; Gonchenko, Sergey; Ovsyannikov, Ivan; Vieiro, Arturo (Institute of Physics (IOP), 2018-04-30)
    Article
    Open Access
    We study the 1:4 resonance for the conservative cubic Hénon maps C^± with positive and negative cubic terms. These maps show up different bifurcation structures both for fixed points with eigenvalues¿±i and for 4-periodic ...