49 citations · 149 across the 13 of their papers we have counts for
5 papers · 1 filter
Universal supercritical behavior for some skew-product maps
Hans Koch
We consider skew-product maps over circle rotations (mod 1) with factors that take values in SL(2,R) In numerical experiments with the inverse golden mean, Fibon…
Traveling wave solutions for the FPU chain: a constructive approach
Gianni Arioli, Hans Koch
Traveling waves for the FPU chain are constructed by solving the associated equation for the spatial profile of the wave. We consider solutions whose derivatives need not…
Some breathers and multi-breathers for FPU-type chains
Gianni Arioli, Hans Koch
We consider several breather solutions for FPU-type chains that have been found numerically. Using computer-assisted techniques, we prove that there exist true solutions nearby, an…
On Hamiltonian flows whose orbits are straight lines
Hans Koch, Héctor E. Lomelí
We consider real analytic Hamiltonians whose flow depends linearly on time. Trivial examples are Hamiltonians that do not depend on the coordinate . By a theorem of Mos…
Period Doubling in Area-Preserving Maps: An Associated One Dimensional Problem
Denis Gaidashev, Hans Koch
It has been observed that the famous Feigenbaum-Coullet-Tresser period doubling universality has a counterpart for area-preserving maps of $\field{R}^2$. A renormalization approach…