Topological data analysis of the synchronization of a network of Rössler chaotic electronic oscillators

Higher-order organization of multivariate time series

(2023) Andrea Santoro et al.   Nature Physics

Topological data analysis in biomedicine: A review

(2022) Yara Skaf et al.   JOURNAL OF BIOMEDICAL INFORMATICS

Recommendations and publication guidelines for studies using frequency domain and time‐frequency domain analyses of neural time series

(2022) Andreas Keil et al.   PSYCHOPHYSIOLOGY

Observability analysis and state reconstruction for networks of nonlinear systems

(2022) Irene Sendiña-Nadal et al.   CHAOS

A New Method for Determining the Embedding Dimension of Financial Time Series Based on Manhattan Distance and Recurrence Quantification Analysis

(2022) Hanhuai Zhu et al.   Entropy

A novel embedding method for characterization of low-dimensional nonlinear dynamical systems

(2021) Dayang Li et al.   NONLINEAR DYNAMICS

A Persistent Homology Approach to Heart Rate Variability Analysis With an Application to Sleep-Wake Classification

(2021) Yu-Min Chung et al.   Frontiers in Physiology

Using Topological Data Analysis (TDA) and Persistent Homology to Analyze the Stock Markets in Singapore and Taiwan

(2021) Peter Tsung-Wen Yen et al.   Frontiers in Physics

The physics of higher-order interactions in complex systems

(2021) Federico Battiston et al.   Nature Physics

Inferring the connectivity of coupled oscillators and anticipating their transition to synchrony through lag-time analysis

(2020) Inmaculada Leyva et al.   CHAOS SOLITONS & FRACTALS

Critical synchronization and 1/f noise in inhibitory/excitatory rich-club neural networks

(2019) Daniel Aguilar-Velázquez et al.   Scientific Reports

Finding cosmic voids and filament loops using topological data analysis

(2019) X. Xu et al.   Astronomy and Computing

Topological data analysis of financial time series: Landscapes of crashes

(2018) Marian Gidea et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Topological Data Analysis

(2018) Larry Wasserman   Annual Review of Statistics and Its Application

Persistent entropy for separating topological features from noise in vietoris-rips complexes

(2017) Nieves Atienza et al.   JOURNAL OF INTELLIGENT INFORMATION SYSTEMS

A roadmap for the computation of persistent homology

(2017) Nina Otter et al.   EPJ Data Science

Persistent topological features of dynamical systems

(2016) Slobodan Maletić et al.   CHAOS

The Kuramoto model in complex networks

(2016) Francisco A. Rodrigues et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

An entropy-based persistence barcode

(2015) Harish Chintakunta et al.   PATTERN RECOGNITION

Topological data analysis for discovery in preclinical spinal cord injury and traumatic brain injury

(2015) Jessica L. Nielson et al.   Nature Communications

Topological data analysis of contagion maps for examining spreading processes on networks

(2015) Dane Taylor et al.   Nature Communications

Network structure of multivariate time series

(2015) Lucas Lacasa et al.   Scientific Reports

Confidence sets for persistence diagrams

(2014) Brittany Terese Fasy et al.   ANNALS OF STATISTICS

Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis

(2014) Jose A. Perea et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Synchronization analysis of Kuramoto oscillators

(2013) Jiu-Gang Dong et al.   Communications in Mathematical Sciences

Topological data analysis

(2011)   INVERSE PROBLEMS

Topology and data

(2009) Gunnar Carlsson   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Synchronization in complex networks

(2008) Alex Arenas et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS