Equation-Free Analysis of Macroscopic Behavior in Traffic and Pedestrian Flow

Christian Marschler (), Jan Sieber (), Poul G. Hjorth () and Jens Starke ()
Additional contact information
Christian Marschler: Technical University of Denmark, Department of Applied Mathematics and Computer Science
Jan Sieber: University of Exeter, College of Engineering, Mathematics and Physical Sciences
Poul G. Hjorth: Technical University of Denmark, Department of Applied Mathematics and Computer Science
Jens Starke: Technical University of Denmark, Department of Applied Mathematics and Computer Science

A chapter in Traffic and Granular Flow '13, 2015, pp 423-439 from Springer

Abstract: Abstract Equation-free methods make it possible to analyze the evolution of a few coarse-grained or macroscopic quantities for a detailed and realistic model with a large number of fine-grained or microscopic variables, even though no equations are explicitly given on the macroscopic level. This will facilitate a study of how the model behavior depends on parameter values including an understanding of transitions between different types of qualitative behavior. These methods are introduced and explained for traffic jam formation and emergence of oscillatory pedestrian counter flow in a corridor with a narrow door.

Keywords: Hopf Bifurcation; Bifurcation Diagram; Bifurcation Point; Bifurcation Analysis; Macroscopic Behavior (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-10629-8_48

Ordering information: This item can be ordered from
http://www.springer.com/9783319106298

DOI: 10.1007/978-3-319-10629-8_48

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().