51 citations · 348 across the 35 of their papers we have counts for
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math.DS2017
Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains
Michael Herrmann, Karsten Matthies
The dynamical stability of solitary lattice waves in non-integrable FPUT chains is a longstanding open problem and has been solved so far only in a certain asymptotic regime, namel…
math.DS2017★ 14 cited
KdV-like solitary waves in two-dimensional FPU-lattices
Fanzhi Chen, Michael Herrmann
We prove the existence of solitary waves in the KdV limit of two-dimensional FPU-type lattices using asymptotic analysis of nonlinear and singularly perturbed integral equations. I…
math.DS2017★ 2 cited
Numerical simulations of magnetic billiards in a convex domain in
Peter Albers, Gautam Dilip Banhatti, Michael Herrmann
We present numerical simulations of magnetic billiards inside a convex domain in the plane.