12 citations · 22 across the 9 of their papers we have counts for
9 papers
Boundaries of Siegel Disks for Conservative Systems
F. M. Tangerman
In this paper, we study a particular conservative standard map in complex dimension 2. In this example, Siegel disks can be visualized and analyzed numerically as to the smoothness…
Birkhoff Measures, Birkhoff Sums, and Discrepancies
D. Ralston, F. M. Tangerman, J. J. P. Veerman +1
We study the distribution of a sequence of points in the circle generated by rotations by a fixed irrational number with initial condition , that is: .…
Are there Unfoldable Proteins in Dimension Three?
Folkert Tangerman, Rinni Bhansali
In this paper we show the existence of three dimensional rigid, and thus unfoldable, lattice conformations. The structure we found has 450+ bonds, and we provide a computer assiste…
Selfsimilarity and growth in Birkhoff sums for the golden rotation
Oliver Knill, Folkert Tangerman
We study Birkhoff sums S(k,a) = g(a)+g(2a)+...+g(ka) at the golden mean rotation number a with periodic continued fraction approximations p(n)/q(n), where g(x) = log(2-2 cos(2 pi x…
Impulse Stability of Large Flocks: an Example
J. J. P. Veerman, F. M. Tangerman
Consider a string of N+1 damped oscillators moving on the line of which the motion of the first (called the "leader") is independent of the others. Each of the followers `observes'…
Numerical Study of the Localization-Delocalization Transition for Vibrations in Amorphous Silicon
William Garber, Folkert M. Tangerman, Philip B. Allen +1
Numerical studies of amorphous silicon in harmonic approximation show that the highest 3.5% of vibrational normal modes are localized. As vibrational frequency increases through th…