18 citations · 18 across the 3 of their papers we have counts for
4 papers
Distance Matrices of Ordered Point Clouds and Their Persistent Homology
David Hien
The distance matrix of a finite point cloud can be visualized as a heatmap. When the data arise from a time series, the sublevel sets of this image are known as recurrence plots an…
Cycling Signatures: Identifying Cycling Motions in Time Series using Algebraic Topology
Ulrich Bauer, David Hien, Oliver Junge +1
Recurrence is a fundamental characteristic of dynamical systems with complicated behavior. Understanding the inner structure of recurrence is challenging, especially if the system…
Combinatorial models of global dynamics: learning cycling motion from data
Ulrich Bauer, David Hien, Oliver Junge +2
We describe a computational method for constructing a coarse combinatorial model of some dynamical system in which the macroscopic states are given by elementary cycling motions of…
Simple Combined Model for Nonlinear Excitations in DNA
D. L. Hien, N. T. Nhan, V. Thanh Ngo +1
We propose a new simple model for DNA denaturation bases on the pendulum model of Englander\cite{A1} and the microscopic model of Peyrard {\it et al.},\cite{A3} so called "combined…