119 citations · 224 across the 24 of their papers we have counts for
5 papers · 1 filter
Locating and counting equilibria of the Kuramoto model with rank one coupling
Owen Coss, Jonathan D. Hauenstein, Hoon Hong +1
The Kuramoto model describes synchronization behavior among coupled oscillators and enjoys successful application in a wide variety of fields. Many of these applications seek phase…
Block Structure of Cyclotomic Polynomials
Ala'a Al-Kateeb, Hoon Hong, Eunjeong Lee
In this paper, we list several interesting structures of cyclotomic polynomials: specifically relations among blocks obtained by suitable partition of cyclotomic polynomials. We pr…
Degree-optimal moving frames for rational curves
Hoon Hong, Zachary Hough, Irina A. Kogan +1
A at a rational curve is a basis of vectors moving along the curve. When the rational curve is given parametrically by a row vector of u…
Lower Bounds for Maximum Gap in (Inverse) Cyclotomic Polynomials
Mary Ambrosino, Hoon Hong, Eunjeong Lee
The maximum gap of a polynomial is the maximum of the differences (gaps) between two consecutive exponents that appear in . Let and denote the -th…
Algorithm for computing semi-Fourier sequences of expressions involving exponentiations and integrations
Hoon Hong, Adam Strzebonski
We provide an algorithm for computing semi-Fourier sequences for expressions constructed from arithmetic operations, exponentiations and integrations. The semi-Fourier sequence is…