E-mail fontich@ub.edu
Position Professor
Group Dynamical Systems
Fontich, Ernest
Biosketch

I received my PhD in 1985 from Universitat de Barcelona under the supervision of Prof. Carles Simó. I was awarded the Ferran Sunyer Balaguer price in 1987 for my PhD thesis. From 1979 to 1989 I was assistant professor and associate professor at Universitat Politècnica de Catalunya. In 1989 I moved to Universitat de Barcelona, where I am professor since 2006. From 2007-2011 I was the director of the former Departament de Matemàtica Aplicada i Anàlisi (UB).

Other Research Interests
  • Invariant manifolds.
  • Exponentially small phenomena.
  • Hamiltonian dynamics
Selected publications

Baldomá, Inmaculada; Fontich, Ernest; Martín, Pau. Whiskered parabolic tori in the planar (n+1)-body problem. Comm. Math. Phys. 374 (2020), no. 1, 63–110.

Fontich, Ernest; de la Llave, Rafael; Sire, Yannick. Construction of invariant whiskered tori by a parameterization method. Part II: Quasi-periodic and almost periodic breathers in coupled map lattices. J. Differential Equations 259 (2015), no. 6, 2180–2279.

Baldomá, Inmaculada; Fontich, Ernest; Guardia, Marcel; Seara, Tere M. Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results. J. Differential Equations 253 (2012), no. 12, 3304–3439.

Baldomá, Inmaculada; Fontich, Ernest. Exponentially small splitting of invariant manifolds of parabolic points. Mem. Amer. Math. Soc. 167 (2004), no. 792, x–83 pp.

Cabré, Xavier; Fontich, Ernest; de la Llave, Rafael. The parameterization method for invariant manifolds. I. Manifolds associated to non-resonant subspaces. Indiana Univ. Math. J. 52 (2003), no. 2, 283–328.

Fontich, E.; Simó, C. The splitting of separatrices for analytic diffeomorphisms. Ergodic Theory Dynam. Systems 10 (1990), no. 2, 295–318.