Dr. Ernest Fontich Julià

PhD in mathematics from Universitat de Barcelona, 1985. Ferran Sunyer Balaguer price in 1987 for the PhD thesis. Assistant professor at Universitat Politècnica de Catalunya from 1987 to 1989. Assistant professor at Universitat de Barcelona from 1989 to 2004. Professor at UB since 2005. Director of the Departament de Matemàtica Aplicada i Anàlisi (UB) from 2007 to 2011. Selected publications (since 2000) 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, Ernest; Martín, Pau. Arnold diffusion in perturbations of analytic integrable Hamiltonian systems. Discrete Contin. Dynam. Systems 7 (2001), no. 1, 61–84.

Grup de recerca

- Dynamical Systems Group

Línies de recerca

- Exponentially small phenomena

- Hamiltonian dynamics

- Invariant manifolds

Activitats docents

- Calculus of one and several variables

- Models Matemàtics i Sistemes Dinàmics





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Àrea de Recerca:

Matemàtica Aplicada