Exploració per autor "Gonchenko, Marina"
Ara es mostren els items 1-20 de 20
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A methodology for obtaining asymptotic estimates for the exponentially small splitting of separatrices to whiskered tori with quadratic frequencies
Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2014-07)
Report de recerca
Accés obert -
Continuation of the exponentially small lower bounds for the splitting of separatrices to a whiskered torus with silver ratio
Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2014-09)
Report de recerca
Accés obertWe study the exponentially small splitting of invariant manifolds of whiskered (hyperbolic) tori with two fast frequencies in nearly-integrable Hamiltonian systems whose hyperbolic part is given by a pendulum. We consider ... -
Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio
Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (Springer, 2014-11)
Article
Accés obertWe study the exponentially small splitting of invariant manifolds of whiskered (hyperbolic) tori with two fast frequencies in nearly integrable Hamiltonian systems whose hyperbolic part is given by a pendulum. We ... -
Correction to: exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies
Delshams Valdés, Amadeu; Gutiérrez Serrés, Pere; Gonchenko, Marina (2023-04)
Article
Accés obert -
Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies
Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2013)
Report de recerca
Accés obertWe study the splitting of invariant manifolds of whiskered t ori with two or three frequencies in nearly-integrable Hamiltonian systems. We consider 2-dimensional tori with a frequency vector ω = (1 , Ω) where Ω is ... -
Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tort with quadratic and cubic frequencies
Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2014-01-01)
Article
Accés obertWe study the splitting of invariant manifolds of whiskered tori with two or three frequencies in nearly-integrable Hamiltonian systems, such that the hyperbolic part is given by a pendulum. We consider a 2-dimensional torus ... -
Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type
Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2014-02)
Report de recerca
Accés obertWe study the splitting of invariant manifolds of whiskered tori with two frequencies in nearlyintegrable Hamiltonian systems, such that the hyperbolic part is given by a pendulum. We consider a 2-dimensional torus with ... -
Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio
Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2015)
Report de recerca
Accés obertThe splitting of invariant manifolds of whiskered (hyperbolic) tori with two frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum, is studied. -
Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio
Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2016-06)
Article
Accés obertThe splitting of invariant manifolds of whiskered (hyperbolic) tori with two frequencies in a nearly integrable Hamiltonian system, whose hyperbolic part is given by a pendulum, is studied. We consider a torus with a fast ... -
Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies
Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2020-01-01)
Article
Accés obertWe study the splitting of invariant manifolds of whiskered (hyperbolic) tori with three frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum. We consider a 3-dimensional torus ... -
Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies
Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2019-06)
Report de recerca
Accés obertWe study the splitting of invariant manifolds of whiskered (hyperbolic) tori with three frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum. We consider a 3-dimensional ... -
Homoclinic phenomena in conservative systems
Gonchenko, Marina (Universitat Politècnica de Catalunya, 2013-04-29)
Tesi
Accés obertThe goal of this thesis is the study of homoclinic orbits in conservative systems (area-preserving maps and Hamiltonian systems). We consider homoclinic (bi-asymptotic) orbits either to saddle periodic orbits or to whiskered ... -
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
Accés obertWe 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 area-preserving and nonorientable maps with quadratic homoclinic tangencies
Delshams Valdés, Amadeu; Gonchenko, Marina (Springer, 2014)
Article
Accés obertWe study bifurcations of nonorientable area-preserving maps with quadratic homoclinic tangencies. We study the case when the maps are given on nonorientable two-dimensional surfaces. We consider one- and two-parameter ... -
On bifurcations of homoclinic tangencies in area-preserving maps on non-orientable manifolds
Delshams Valdés, Amadeu; Gonchenko, Marina; Gonchenko, Sergey (Springer, 2016)
Capítol de llibre
Accés restringit per política de l'editorialWe 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 dynamics and bifurcations of area-preserving maps with homoclinic tangencies
Delshams Valdés, Amadeu; Gonchenko, Marina; Gonchenko, Sergey V. (2015-09-01)
Article
Accés obertWe study bifurcations of area-preserving maps, both orientable (symplectic) and non-orientable, with quadratic homoclinic tangencies. We consider one and two parameter general unfoldings and establish results related to ... -
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
Accés obertWe 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 ... -
Reversible perturbations of conservative Hénon-like maps
Gonchenko, Marina; Gonchenko, Sergey; Safonov, Klim (2021-04-01)
Article
Accés obertFor area-preserving Hénon-like maps and their compositions, we consider smooth perturbations that keep the reversibility of the initial maps but destroy their conservativity. For constructing such perturbations, we use two ... -
The dynamics of digits: calculating Pi with Galperin's billiards
Aretxabaleta, Xabier M.; Gonchenko, Marina; Harshman, Nathan L.; Jackson, Steven Glenn; Olshanii, Maxim; Astrakharchik, Grigori (Multidisciplinary Digital Publishing Institute (MDPI), 2020-04-01)
Article
Accés obertIn Galperin billiards, two balls colliding with a hard wall form an analog calculator for the digits of the number p . This classical, one-dimensional three-body system (counting the hard wall) calculates the digits of p ... -
Triangular Gross-Pitaevskii breathers and Damski-Chandrasekhar shock waves
Olshanii, Maxim; Deshommes, Dumesle; Gonchenko, Marina; Dunjko, Vedran; Astrakharchik, Grigori (2021-01-01)
Article
Accés obertThe recently proposed map [arXiv:2011.01415] between the hydrodynamic equations governing the two-dimensional triangular cold-bosonic breathers [Phys. Rev. X 9, 021035 (2019)] and the high-density zero-temperature triangular ...