Quantifying force networks in particulate systems

We present mathematical models based on persistent homology for analyzing force distributions in particulate systems. We define three distinct chain complexes of these distributions: digital, position, and interaction, motivated by different types of data that may be available from experiments and s...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Physica. D 2014-08, Vol.283, p.37-55
Hauptverfasser:	Kramár, Miroslav, Goullet, Arnaud, Kondic, Lou, Mischaikow, Konstantin
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Computer simulation Digital Dynamical systems Dynamics Force networks Homology Networks Particulate systems Persistence diagram Position (location)
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!