Thomas Wanner
Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, Virginia 22030, USA

 

Topology in Dynamics, Differential Equations, and Data

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  1. Sarah Day, Robertus C.A.M. Vandervorst, Thomas Wanner:
    Topology in Dynamics, Differential Equations, and Data
    Physica D: Nonlinear Phenomena 334(1), pp. 1-3, 2016.

Abstract

This special issue is devoted to showcasing recent uses of topological methods in the study of dynamical behavior and the analysis of both numerical and experimental data. The twelve original research papers span a wide spectrum of results from abstract index theories, over homology- and persistence-based data analysis techniques, to computer-assisted proof techniques based on topological fixed point arguments.

The published version of the paper can be found at https://doi.org/10.1016/j.physd.2016.08.003. It provides an introduction to the special issue of Physica D on Topology in Dynamics, Differential Equations, and Data, which was published in 2016.

Bibtex

@article{day:etal:16a,
   author = {Sarah Day and Robertus C.A.M. Vandervorst and Thomas Wanner},
   title = {Topology in Dynamics, Differential Equations, and Data},
   journal = {Physica D: Nonlinear Phenomena},
   volume = 334,
   number = 1,
   pages = {1--3},
   year = 2016,
   doi = {10.1016/j.physd.2016.08.003}
   }