To examine the topological characteristics of various forms of attractors in dynamical systems, numerous topological approaches have been developed. Different topological data analysis technologies can be used to explain the system's attractors' shapes. In this chapter, we utilise several of these topological tools to show different patterns in the structure of the system and to quantify the number of loops and holes in the data. These tools include persistence diagrams and barcode diagrams. Additionally, to define the topology of the data at various sizes, we employ simplicial complexes.
Author(s) Details:
Tahmineh Azizi,
Department of Mechanical Engineering, Florida State University, Florida, US State.
Please see the link here: https://stm.bookpi.org/NRAMCS-V8/article/view/8360
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