ConleyDynamics.jl: A Julia package for multivector dynamics on Lefschetz complexes

78. Thomas Wanner:
    ConleyDynamics.jl: A Julia package for multivector dynamics on Lefschetz complexes
    Software Package, 10.5281/zenodo.14248929, 2024.

Abstract

This is a Julia package for studying combinatorial multivector fields using Conley theory. The multivector fields can be studied on arbitrary Lefschetz complexes, which include both simplicial and cubical complexes as important special cases. The concept of combinatorial multivector field generalizes Forman vector fields, which were originally introduced to study Morse theory in a discrete combinatorial setting. The package is part of the general Julia registry and can be installed in the same way as any other Julia package. Just type

     using Pkg
     Pkg.add("ConleyDynamics")
     using ConleyDynamics

at the Julia prompt.

Links

The package source files can be accessed from my GitHub account at https://github.com/almost6heads/ConleyDynamics.jl. The extensive documentation, which is also available as a pdf document, can be found here. See also https://doi.org/10.5281/zenodo.14248929 for an archived version. Please contact me with any comments and suggestions.

Bibtex

@software{conleydynamics,
  author = {Thomas Wanner},
  title  = {{C}onley{D}ynamics.jl: {A} {J}ulia package for multivector
            dynamics on {L}efschetz complexes},
  url    = {https://github.com/almost6heads/ConleyDynamics.jl},
  year   = {2024},
  doi    = {10.5281/zenodo.14248929}
}