Arioli, Gianni; Koch, Hans Traveling wave solutions for the FPU chain: a constructive approach. (English) Zbl 1444.34077 Nonlinearity 33, No. 4, 1705-1722 (2020). MSC: 34K10 34K16 34A33 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{H. Koch}, Nonlinearity 33, No. 4, 1705--1722 (2020; Zbl 1444.34077) Full Text: DOI arXiv
Arioli, Gianni; Koch, Hans Families of periodic solutions for some Hamiltonian PDEs. (English) Zbl 1370.35213 SIAM J. Appl. Dyn. Syst. 16, No. 1, 1-15 (2017). Reviewer: Guy Katriel (Haifa) MSC: 35L76 35B10 35L35 35B32 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{H. Koch}, SIAM J. Appl. Dyn. Syst. 16, No. 1, 1--15 (2017; Zbl 1370.35213) Full Text: DOI
Arioli, Gianni; Koch, Hans Computer-assisted methods for the study of stationary solutions in dissipative systems, applied to the Kuramoto-Sivashinski equation. (English) Zbl 1231.35016 Arch. Ration. Mech. Anal. 197, No. 3, 1033-1051 (2010). Reviewer: Vladimir Mityushev (Kraków) MSC: 35B32 35K55 37M20 70K50 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{H. Koch}, Arch. Ration. Mech. Anal. 197, No. 3, 1033--1051 (2010; Zbl 1231.35016) Full Text: DOI
Arioli, Gianni; Zgliczyński, Piotr Symbolic dynamics for the Hénon-Heiles Hamiltonian on the critical level. (English) Zbl 1018.37006 J. Differ. Equations 171, No. 1, 173-202 (2001). Reviewer: Simos Ichtiaroglou (Thessaloniki) MSC: 37B10 37J45 70H05 70H07 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{P. Zgliczyński}, J. Differ. Equations 171, No. 1, 173--202 (2001; Zbl 1018.37006) Full Text: DOI
Arioli, Gianni; Szulkin, Andrzej Homoclinic solutions of Hamiltonian systems with symmetry. (English) Zbl 0944.37030 J. Differ. Equations 158, No. 2, 291-313 (1999). Reviewer: S.Yu.Pilyugin (St.Peterburg) MSC: 37J45 37J40 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{A. Szulkin}, J. Differ. Equations 158, No. 2, 291--313 (1999; Zbl 0944.37030) Full Text: DOI
Arioli, G.; Gazzola, F. Existence and numerical approximation of periodic motions of an infinite lattice of particles. (English) Zbl 0838.34046 Z. Angew. Math. Phys. 46, No. 6, 898-912 (1995). Reviewer: Á.Bosznay (Budapest) MSC: 34C25 70F99 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{F. Gazzola}, Z. Angew. Math. Phys. 46, No. 6, 898--912 (1995; Zbl 0838.34046) Full Text: DOI