A Case Study on Identifying Bifurcation and Chaos with CROCKER Plots

Güzel İ., Munch E., Khasawneh F.

SIAM International Conference on Data Mining (SDM22), Virginia, Amerika Birleşik Devletleri, 28 - 30 Nisan 2022, ss.1-6

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.48550/arxiv.2204.06321
  • Basıldığı Şehir: Virginia
  • Basıldığı Ülke: Amerika Birleşik Devletleri
  • Sayfa Sayıları: ss.1-6
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

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.