My research concerns computer assisted methods for the study of differential equations and evolutionary game theory.
Some publications
G. Arioli, Periodic Orbits, Symbolic Dynamics and Topological Entropy for the Restricted 3-Body Problem, Comm. Math. Phys. 231 (2002) 1-24
G. Arioli, A. Szulkin, A Semilinear Schrödinger Equation in the Presence of a Magnetic Field, Arch. Rational Mech. Anal. 170 (2003) 277-295
G. Arioli, H. Koch, S. Terracini, Two Novel Methods and Multi-Mode Periodic Solutions for the Fermi-Pasta-Ulam Model, Comm. Math. Phys. 255 (2005) 1-19
G. Arioli, H. Koch, The critical renormalization fixed point for commuting pairs of area-preserving maps, Comm. Math. Phys. 295 (2010) 415-429
G. Arioli, H. Koch, Computer-assisted methods for the study of stationary solutions in dissipative systems, applied to the Kuramoto-Sivashinski equation, Arch. Rational Mech. An. 197 (2010) 1033
G. Arioli, H. Koch, Integration of dissipative PDEs: a case study, SIAM J. of Appl. Dyn. Syst. 9 (2010) 1119-1133
G. Arioli, H. Koch, Non-symmetric low-index solutions for a symmetric boundary value problem, J. Differential Equations 252 (2012) 448-458
G. Arioli, F. Gazzola, A new mathematical explanation of the Tacoma Narrows Bridge collapse, Applied Mathematical Modelling 39 (2015) 901–912
G. Arioli, H. Koch: Spectral stability for the wave equation with periodic forcing, J. Differential Equations 265, 2470–2501 (2018)