A Case Study on Identifying Bifurcation and Chaos with CROCKER Plots

Date

2022-04-28

Author

Güzel, İsmail
Munch, Elizabeth
Khasawneh, Firas

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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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 Rössler and Lorenz system and show the relationship with common methods for bifurcation analysis such as the Lyapunov exponent.

URI

https://doi.org/10.48550/arXiv.2204.06321
https://hdl.handle.net/11511/109955

DOI

https://doi.org/10.48550/arxiv.2204.06321

Conference Name

SIAM International Conference on Data Mining (SDM22)

Collections

Graduate School of Applied Mathematics, Conference / Seminar

Citation Formats

İ. Güzel, E. Munch, and F. Khasawneh, “A Case Study on Identifying Bifurcation and Chaos with CROCKER Plots,” presented at the SIAM International Conference on Data Mining (SDM22), Virginia, Amerika Birleşik Devletleri, 2022, Accessed: 00, 2024. [Online]. Available: https://doi.org/10.48550/arXiv.2204.06321.