222 citations · 1.8k across the 48 of their papers we have counts for
4 papers · 1 filter
A Mathematical Model for the Dynamics and Synchronization of Cows
Jie Sun, Erik M. Bollt, Mason A. Porter +1
We formulate a mathematical model for daily activities of a cow (eating, lying down, and standing) in terms of a piecewise affine dynamical system. We analyze the properties of thi…
Judging Model Reduction of Chaotic Systems via Optimal Shadowing Criteria
Jie Sun, Erik M. Bollt, Takashi Nishikawa
A common goal in the study of high dimensional and complex system is to model the system by a low order representation. In this letter we propose a general approach for assessing t…
Greedy Connectivity of Geographically Embedded Graphs
Jie Sun, Daniel ben-Avraham
We introduce a measure of {\em greedy connectivity} for geographical networks (graphs embedded in space) and where the search for connecting paths relies only on local information,…
Approximating Spectral Impact of Structural Perturbations in Large Networks
Attilio Milanese, Jie Sun, Takashi Nishikawa
Determining the effect of structural perturbations on the eigenvalue spectra of networks is an important problem because the spectra characterize not only their topological structu…