论文标题
关于识别分叉和混乱与克罗克图的案例研究
A Case Study on Identifying Bifurcation and Chaos with CROCKER Plots
论文作者
论文摘要
Crocker图是一种易于可视化数据的持久性条形码家庭中数据的粗糙但易于可视化数据的表示。在本文中，我们使用Crocker图在不同的分叉参数下查看持久性的变化。我们执行实验以使用Rössler和Lorenz系统支持我们的方法，并显示与常见方法进行分叉分析（例如Lyapunov指数）的关系。
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.
