A Case Study on Identifying Bifurcation and Chaos with CROCKER Plots
Dynamical Systems
2022-04-14 v1 Algebraic Topology
Chaotic Dynamics
Abstract
The CROCKER plot is a coarsened but easy to visualize representation of the data in a one-parameter varying family of persistence barcodes. In this paper, we use the CROCKER plot to view changes in the persistence under a varying bifurcation parameter. We perform experiments to support our methods using the R\"ossler and Lorenz system and show the relationship with common methods for bifurcation analysis such as the Lyapunov exponent.
Keywords
Cite
@article{arxiv.2204.06321,
title = {A Case Study on Identifying Bifurcation and Chaos with CROCKER Plots},
author = {İsmail Güzel and Elizabeth Munch and Firas Khasawneh},
journal= {arXiv preprint arXiv:2204.06321},
year = {2022}
}
Comments
6 pages, 3 figures