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Position Professor
Research interests Applied Math
Group Dynamical Systems
Delshams, Amadeu

I am a member of the UPC Dynamical Systems Group and the DANCE network.

I am a member of the Editorial Board of several Journals: Discrete and Continuous Dynamical Systems, Gaceta de la RSME, Journal of Nonlinear Science, Journal of Differential Equations, Qualitative Theory of Dynamical Systems.

I am/was involved in organizing several events: the CRM Research Program SIMS08, the AIMS Conferences, the first Iberian Mathematical Meeting, the Carles Simó Fest, the DANCE meetings Ddays, the Spanish meetings Nolineal, the DANCE Winter Schools RTNS, the Workshops of Interaction between Dynamical Systems and PDE JISD, as well as other events of our group.

I have been Invited speaker in a number of conferences, like the 6th European Congress of Mathematics, Krakow, 2012, SIAM DSPDES’s, Barcelona, 2010, etc.

I am currently a member of the Laboratory of Geometry and Dynamical Systems at UPC-EPSEB.

Other Research Interests
  • Effective stability of Hamiltonian and reversible systems
  • Whiskered tori
  • Hyperbolic invariant objects
  • Splitting of separatrices
  • Arnold diffusion
Selected publications
  • Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation. A. Delshams, P. Gutiérrez, J.R. Pacha, Phys. D 243:64-85, 2013.
  • Geography of resonances and Arnold diffusion in a priori unstable Hamiltonian systems. A. Delshams, G. Huguet, Nonlinearity, 22:1997-2077, 2009.
  • Geometric properties of the scattering map of a normally hyperbolic invariant manifold. A. Delshams, R. de la Llave, T. M. Seara. Adv. Math., 217(3): 1096-1153, 2008.
  • Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows. A. Delshams, R. de la Llave, T. M. Seara, Adv. Math., 202(1):64-188, 2006.
  • A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the large Gap Problem: Heuristics and Rigorous Verification on a Model. A. Delshams, R. de la Llave, T. M. Seara, Mem. Amer. Math. Soc., 179(844):1-141, 2006.