A Case Study on Identifying Bifurcation and Chaos with CROCKER Plots
İsmail G üzel, Elizabeth Munch, Firas Khasawneh
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.