Ernest Fontich

The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces

Xavier Cabré, Ernest Fontich, Rafael de la Llave · Indiana University Mathematics Journal · 2003 · 283 citations

The parameterization method for invariant manifolds III: overview and applications

Xavier Cabré, Ernest Fontich, Rafael de la Llave · Journal of Differential Equations · 2005 · 266 citations

Parameterization Method, Manifold Learning, Geometry +4

Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem

Antonio Giorgilli, Amadeu Delshams, Ernest Fontich et al. · Journal of Differential Equations · 1989 · 213 citations

Hamiltonian Theory, Elliptic Equation, Effective Stability +5

The parameterization method for invariant manifolds II: regularity with respect to parameters

Xavier Cabré, Ernest Fontich, Rafael de la Llave · Indiana University Mathematics Journal · 2003 · 192 citations · Full text

The splitting of separatrices for analytic diffeomorphisms

Ernest Fontich, Carles Simó · Ergodic Theory and Dynamical Systems · 1990 · 102 citations · Full text

Analytic Diffeomorphisms, Geometric Flow, Unperturbed Problem +8