Marcel Guàrdia

Generic bifurcations of low codimension of planar Filippov Systems

Marcel Guàrdia, Tere M. Seara, Marco Antônio Teixeira · Journal of Differential Equations · 2010 · 285 citations · Full text

Generic Bifurcations, Oscillation Theory, Geometric Singular Perturbation Theory +2

Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation

Marcel Guàrdia, V. A. Kaloshin · Journal of the European Mathematical Society · 2015 · 103 citations · Full text

Polynomial Time Estimates, Elliptic Equation, Nonlinear Schrödinger Equation +7

An Analytical Approach to Codimension-2 Sliding Bifurcations in the Dry-Friction Oscillator

Marcel Guàrdia, S. J. Hogan, Tere M. Seara · SIAM Journal on Applied Dynamical Systems · 2010 · 60 citations

Parameter Space, Dry-friction Oscillator, Engineering +12

Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results

Inmaculada Baldomá, Ernest Fontich, Marcel Guàrdia et al. · Journal of Differential Equations · 2012 · 43 citations · Full text

Spectral Theory, Small Splitting, Algebraic Analysis +4

Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation

Marcel Guàrdia, Zaher Hani, Emanuele Haus et al. · Journal of the European Mathematical Society · 2022 · 34 citations · Full text

Elliptic Equation, Twodimensional Torus, Gap Solutions +10