Gianni Arioli
Department of Mathematics - Politecnico di Milano

My research concerns computer assisted methods for the study of differential equations and evolutionary game theory.

Selected publications

G. Arioli, Periodic Orbits, 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: Some Breathers and Multi-breathers for FPU-Type Chains, Commun. Math. Phys. 372 (2019), 1117-1146

The full list is available at ORCID

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