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Delshams i Valdes, Amadeu
Total activity: 381
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19
Professional category
University professor
Doctoral courses
Matemàtiques
Premio extraordinario
University degree
Física
Matemàtiques
Research group
SD - Dynamical Systems
Department
Department of Applied Mathematics I
School
Barcelona School of Industrial Engineering (ETSEIB)
E-mail
amadeu.delshamsupc.edu
Contact details
UPC directory Open in new window
Orcid
0000-0003-4134-8882 Open in new window
Scopus Author ID
6701671914 Open in new window

Scientific and technological production

1 to 50 of 381 results
 
  • Mixed dynamics in reversible maps with gure-8 homoclinic connections  Open access

     Delshams i Valdes, Amadeu; Gonchenko, Sergey; Lazaro Ochoa, Jose Tomas
    Hamiltonian Dynamics, Nonautonomous Systems,and Patterns in PDE's
    Presentation's date: 2014-12-14
    Presentation of work at congresses
    Access to the full text
  • Global Instability in the ERTBP

     Delshams i Valdes, Amadeu
    Hamiltonian Dynamics, Nonautonomous Systems,and Patterns in PDE's
    p. 6
    Presentation's date: 2014-12-12
    Presentation of work at congresses
  • Exponentially small splitting of separatrices to whiskered tori with quadratic frequencies

     Gonchenko, Marina; Delshams i Valdes, Amadeu; Gutiérrez Serrés, Pere
    Hamiltonian Dynamics, Non-autonomous Systems and Patterns in PDE’s
    p. 12
    Presentation's date: 2014-12-11
    Presentation of work at congresses
  • Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio  Open access

     Delshams i Valdes, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere
    Regular and chaotic dynamics
    Vol. 19, num. 6, p. 663-680
    DOI: 10.1134/S1560354714060057
    Date of publication: 2014-11
    Journal article
  • Continuation of the exponentially small lower bounds for the splitting of separatrices to a whiskered torus with silver ratio  Open access

     Delshams i Valdes, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere
    Date: 2014-09
    Report
    Access to the full text
  • Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type

     Delshams i Valdes, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere
    International journal of bifurcation and chaos
    Vol. 24, num. 8, p. 1-7
    DOI: 10.1142/S0218127414400112
    Date of publication: 2014-08-01
    Journal article
  • Exponentially small splitting of separatrices to whiskered tori with frequencies of constant type in the RTBP

     Gonchenko, Marina; Delshams i Valdes, Amadeu; Gutiérrez Serrés, Pere
    AIMS Conference on Dynamical Systems, Differential Equations and Applications
    p. 2
    Presentation's date: 2014-07-08
    Presentation of work at congresses
  • Global instability in the elliptic restricted three body problem

     de la Rosa Ibarra, Abraham
    Universitat Politècnica de Catalunya
    Theses
  • Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type

     Gonchenko, Marina; Delshams i Valdes, Amadeu; Gutiérrez Serrés, Pere
    Conference on Hamiltonian Systems and Celestial Mechanics
    Presentation's date: 2014-06-02
    Presentation of work at congresses
  • Multi-frequency splitting of separatrices

     Delshams i Valdes, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere
    Hamiltonian Perturbation Theory: Separatrix Splitting, Theory and Applications
    Presentation's date: 2014-05-05
    Presentation of work at congresses
  • Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type  Open access

     Delshams i Valdes, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere
    Date: 2014-02
    Report
    Access to the full text
  • Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tort with quadratic and cubic frequencies  Open access

     Delshams i Valdes, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere
    Electronic research announcements in mathematical sciences
    Vol. 21, p. 41-61
    DOI: 10.3934/era.2014.21.41
    Date of publication: 2014-01-01
    Journal article
    Access to the full text
  • Sistemes dinàmics de la UPC

     Baldoma Barraca, Inmaculada Concepcion; Delshams i Valdes, Amadeu; Fedorov Kuzmin, Yury; Guillamon Grabolosa, Antoni; Gutiérrez Serrés, Pere; Huguet Casades, Gemma; Lazaro Ochoa, Jose Tomas; Martin De La Torre, Pablo; Masdemont Soler, Josep Joaquim; Olle Torner, Maria Mercedes; Pacha Andujar, Juan Ramon; Pantazi, Chara; Puig Sadurni, Joaquim; Ramirez Ros, Rafael; Roldan Gonzalez, Pablo; Villanueva Castelltort, Jordi; Castejon i Company, Oriol; Tamarit Sariol, Anna; Simon Lopez, Adria; Sanchez Martin, Patricia; Bonet Reves, Carles; Sanchez Cuartielles, Joan Pau; Paita, Fabrizio; Martinez-seara Alonso, Maria Teresa
    Competitive project
  • Exponentially small splitting of separatrices for 2D and 3D invariant tori

     Delshams i Valdes, Amadeu; Gutiérrez Serrés, Pere; Gonchenko, Marina
    International Conference Dynamics, Bifurcations and Strange Attractors
    Presentation's date: 2013-07-01
    Presentation of work at congresses
  • Instability of high dimensional Hamiltonian systems: Multiple resonances do not impede diffusion  Open access

     Delshams i Valdes, Amadeu; de la Llave Canosa, Rafael; Martinez-seara Alonso, Maria Teresa
    Date: 2013-06
    Report
    Access to the full text
  • Homoclinic phenomena in conservative systems  Open access

     Gonchenko, Marina
    Universitat Politècnica de Catalunya
    Theses
  • Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation

     Delshams i Valdes, Amadeu; Gutiérrez Serrés, Pere; Pacha Andujar, Juan Ramon
    Physica. D, Nonlinear phenomena
    Vol. 243, num. 1, p. 64-85
    DOI: 10.1016/j.physd.2012.09.009
    Date of publication: 2013-01-15
    Journal article
  • Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps  Open access

     Delshams i Valdes, Amadeu; Gonchenko, Sergey; GONCHENKO, VLADIMIR; Lazaro Ochoa, Jose Tomas; Stenkin, Oleg
    Nonlinearity
    Vol. 26, p. 1-33
    DOI: 10.1088/0951-7715/26/1/1
    Date of publication: 2013-01-01
    Journal article
    Access to the full text
  • Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies  Open access

     Delshams i Valdes, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere
    Date: 2013
    Report
    Access to the full text
  • Brazilian–European Partnership in Dynamical Systems

     Ramirez Ros, Rafael; Lazaro Ochoa, Jose Tomas; Delshams i Valdes, Amadeu; Martinez-seara Alonso, Maria Teresa
    Competitive project
  • Jornades d'Interacció entre els Sistemes Dinàmics i les EDP (JISD)

     Delshams i Valdes, Amadeu; Gonzalez Nogueras, Maria Del Mar; Cabre Vilagut, Xavier; Martinez-seara Alonso, Maria Teresa
    Competitive project
  • On cascades of elliptic periodic points in area-preserving maps with homoclinic tangencies

     Gonchenko, Marina; Delshams i Valdes, Amadeu
    International Conference on Difference Equations and Applications
    p. 148
    Presentation's date: 2012-07-27
    Presentation of work at congresses
  • Irregular motion and global instability in Hamiltonian systems

     Delshams i Valdes, Amadeu
    European Congress of Mathematics
    Presentation's date: 2012-07-04
    Presentation of work at congresses
  • Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation  Open access

     Delshams i Valdes, Amadeu; Gutiérrez Serrés, Pere; Pacha Andujar, Juan Ramon
    Date: 2012-07
    Report
    Access to the full text
  • Exponentially small splitting of separatrices for whiskered tori with quadratic frequencies

     Gonchenko, Marina; Delshams i Valdes, Amadeu; Gutiérrez Serrés, Pere
    Congreso No Lineal
    p. 22
    Presentation's date: 2012-06-04
    Presentation of work at congresses
  • Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps  Open access

     Delshams i Valdes, Amadeu; Lazaro Ochoa, Jose Tomas; Gonchenko, Vladimir; Gonchenko ., S.V.; Sten'kin, Oleg
    Date: 2012-01-12
    Report
    Access to the full text
  • Transition map and shadowing lemma for normally hyperbolic invariant manifolds

     Delshams i Valdes, Amadeu; Gidea, Marian; Roldan Gonzalez, Pablo
    Discrete and continuous dynamical systems. Series A
    Vol. 33, num. 3, p. 1089-1112
    DOI: 10.3934/dcds.2013.33.1089
    Date of publication: 2012
    Journal article
  • Jornades d'Interacció entre sistemes dinàmics i EDP

     Delshams i Valdes, Amadeu; Cabre Vilagut, Xavier; Gonzalez Nogueras, Maria Del Mar; Martinez-seara Alonso, Maria Teresa
    Competitive project
  • Jornades d'interacció entre sistemes dinàmics i equacions entre sistemes dinàmics i equacions en derivades parcials (JISD2011)

     Martinez-seara Alonso, Maria Teresa; Delshams i Valdes, Amadeu; Cabre Vilagut, Xavier; Gonzalez Nogueras, Maria Del Mar
    Competitive project
  • A geometric mechanism of diffusion: rigorous verification in a priori unstable Hamiltonian systems

     Delshams i Valdes, Amadeu; Huguet, G.
    Journal of differential equations
    Vol. 250, num. 5, p. 2601-2623
    DOI: 10.1016/j.jde.2010.12.023
    Date of publication: 2011-03-01
    Journal article
  • Transversality of homoclinic orbits to hyberbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation  Open access

     Delshams i Valdes, Amadeu; Gutiérrez Serrés, Pere; Pacha Andujar, Juan Ramon
    Date: 2011
    Report
    Access to the full text
  • A geometric mechanism of diffusion in a priori unstable Hamiltonian systems

     Delshams i Valdes, Amadeu
    International Symposium on Hamiltonian Systems and Celestial Mechanics
    Presentation's date: 2010-12-02
    Presentation of work at congresses
  • Parabolic orbits in the restricted three-body problem

     Delshams i Valdes, Amadeu; de la Rosa Ibarra, Abraham; Martinez-seara Alonso, Maria Teresa
    International Symposium on Hamiltonian Systems and Celestial Mechanics
    Presentation's date: 2010-12-01
    Presentation of work at congresses
  • Combining two scattering maps to obtain diffusion in the planar restricted planar 3-body problem

     Delshams i Valdes, Amadeu; de la Rosa Ibarra, Abraham; Kaloshin, Vadim; Martinez-seara Alonso, Maria Teresa
    International Symposium on Hamiltonian Systems and Celestial Mechanics
    Presentation's date: 2010-11-29
    Presentation of work at congresses
  • Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel'nikov method

     Delshams i Valdes, Amadeu; Gutiérrez Serrés, Pere; Koltsova, O.; Pacha Andujar, Juan Ramon
    Regular and chaotic dynamics
    Vol. 15, num. 2-3, p. 222-236
    DOI: 10.1134/S1560354710020103
    Date of publication: 2010-10
    Journal article
  • A geometric mechanism of diffusion: Rigorous verification in a priori unstable Hamiltonian systems  Open access

     Delshams i Valdes, Amadeu; Huguet Casades, Gemma
    Date: 2010-07
    Report
    Access to the full text
  • The geometric mechanism of diffusion in mechanical systems

     Delshams i Valdes, Amadeu; Huguet Casades, Gemma
    Joint SIAM/RSME-SCM-SEMA Meeting
    Presentation's date: 2010-05-31
    Presentation of work at congresses
  • An accounting device for biasymptotic solutions: the scattering map in the restricted three body problem

     Delshams i Valdes, Amadeu; Masdemont Soler, Josep Joaquim; Roldan Gonzalez, Pablo
    DOI: 10.1007/978-90-481-9884-9
    Date of publication: 2010
    Book chapter
    Image
  • DINAMICA ASOCIADA A CONEXIONES ENTRE OBJETOS INVARIANTES, ASTRODINÁMICA, NEUROCIENCIA Y OTRAS APLICACIONES

     Blazquez Sanz, David; Olive Farre, Maria del Carme; Gomez-Ullate Oteiza, David; Morales Ruiz, Juan Jose; Canalias Vila, Elisabet; Martinez-seara Alonso, Maria Teresa; Baldoma Barraca, Inmaculada Concepcion; Fedorov Kuzmin, Yury; Garcia Taberner, Laura; Guardia Munarriz, Marcel; Guillamon Grabolosa, Antoni; Gonchenko, Marina; Gutiérrez Serrés, Pere; Lazaro Ochoa, Jose Tomas; Luque Jiménez, Alejandro; Martin De La Torre, Pablo; Masdemont Soler, Josep Joaquim; Olle Torner, Maria Mercedes; Pacha Andujar, Juan Ramon; Pantazi, Chara; Puig Sadurni, Joaquim; Ramirez Ros, Rafael; Roldan Gonzalez, Pablo; Villanueva Castelltort, Jordi; Tamarit, Anna; Olivé Farré, Carme; Morales Ruiz, Juan José; Larreal Barreto, Oswaldo José; Huguet Casades, Gemma; Gómez-Ullate Oteiza, David; Acosta Humanez, Primitivo Belen; Benita Bordes, Jose Manuel; Basak, Inna; Blázquez Sanz, David; de la Llave Canosa, Rafael; de la Rosa Ibarra, Abraham; Delshams i Valdes, Amadeu
    Competitive project
  • A geometric mechanism for diffusion in a priori unstable hamiltonian systems

     Delshams i Valdes, Amadeu
    International Conference on Dynamical Systems. Celebrating Jacob Palis'70th birthday
    Presentation's date: 2010
    Presentation of work at congresses
  • Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel'nikov method  Open access

     Gutiérrez Serrés, Pere; Delshams i Valdes, Amadeu; Pacha Andujar, Juan Ramon
    Date: 2009-12
    Report
    Access to the full text
  • SISTEMES DINAMICS DE LA UPC

     Fedorov Kuzmin, Yury; Villanueva Castelltort, Jordi; de la Llave Canosa, Rafael; Lazaro Ochoa, Jose Tomas; Olive Farre, Maria del Carme; Guardia Munarriz, Marcel; Benita Bordes, Jose Manuel; Puig Sadurni, Joaquim; Canalias Vila, Elisabet; Martin De La Torre, Pablo; Guillamon Grabolosa, Antoni; Larreal Barreto, Oswaldo José; Luque Jiménez, Alejandro; Gomez-Ullate Oteiza, David; Pantazi, Chara; de la Rosa Ibarra, Abraham; Martinez-seara Alonso, Maria Teresa; Masdemont Soler, Josep Joaquim; Blazquez Sanz, David; Baldoma Barraca, Inmaculada Concepcion; Gutiérrez Serrés, Pere; Olle Torner, Maria Mercedes; Ramirez Ros, Rafael; Pacha Andujar, Juan Ramon; Roldan Gonzalez, Pablo; Morales Ruiz, Juan Jose; Huguet Casades, Gemma; Gonchenko, Marina; Acosta Humanez, Primitivo Belen; Delshams i Valdes, Amadeu
    Competitive project
  • Global instability in mechanical systems via geometrical methods

     Delshams i Valdes, Amadeu
    Congreso de Ecuaciones Diferenciales y Aplicaciones / Congreso de Matemática Aplicada
    Presentation's date: 2009-09-25
    Presentation of work at congresses
  • Arnold’s mechanism of diffusion in the spatial circular Restricted Three Body Problem: a semi- numerical argument

     Delshams i Valdes, Amadeu; Gidea, Marian; Roldan Gonzalez, Pablo
    Dynamics, Topology and Computations
    p. 1-35
    Presentation's date: 2009-06-03
    Presentation of work at congresses
  • Geography of resonances and Arnold diffusion in a priori unstable Hamiltonian systems

     Delshams i Valdes, Amadeu; Huguet Casades, Gemma
    Nonlinearity
    Vol. 22, num. 8
    DOI: 10.1088/0951-7715/22/8/013
    Date of publication: 2009
    Journal article
  • Euler's beta integral in Pietro Mengoli's works

     Massa Esteve, Maria Rosa; Delshams i Valdes, Amadeu
    Archive for history of exact sciences
    Vol. 63, num. 3, p. 325-356
    DOI: 10.1007/s00407-009-0042-5
    Date of publication: 2009-03
    Journal article
  • The role of hyperbolic invariant objects: From Arnold diffusion to biological clocks  Open access

     Huguet Casades, Gemma
    School of Mathematics and Statistics (FME), Universitat Politècnica de Catalunya
    Theses
  • Diophantine conditions for cubic frequency vectors

     Delshams i Valdes, Amadeu; Gutiérrez Serrés, Pere; Gonchenko, Marina
    Conference on Stability and Instability in Mechanical Sysyems: Recent Progress and Mathematical Theory
    Presentation's date: 2008-09-25
    Presentation of work at congresses