4 papers
Dynamic State Analysis of a Driven Magnetic Pendulum using Ordinal Partition Networks and Topological Data Analysis
Audun Myers, Firas Khasawneh
The use of complex networks for time series analysis has recently shown to be useful as a tool for detecting dynamic state changes for a wide variety of applications. In this work,…
Effects of Correlated Noise on the Performance of Persistence Based Dynamic State Detection Methods
Joshua Tempelman, Audun Myers, Jeffrey Scruggs +1
The ability to characterize the state of dynamic systems has been a pertinent task in the time series analysis community. Traditional measures such as Lyapunov exponents are often…
On the Automatic Parameter Selection for Permutation Entropy
Audun Myers, Firas Khasawneh
Permutation Entropy (PE) has been shown to be a useful tool for time series analysis due to its low computational cost and noise robustness. This has drawn for its successful appli…
Persistent Homology of Complex Networks for Dynamic State Detection
Audun Myers, Elizabeth Munch, Firas A. Khasawneh
In this paper we develop a novel Topological Data Analysis (TDA) approach for studying graph representations of time series of dynamical systems. Specifically, we show how persiste…