Image de couverture de livre

Topological Detection of Hopf Bifurcations via Persistent Homology: A Functional Criterion from Time Series

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Barrios, Jhonathan, Echávez, Yásser, Álvarez, Carlos F.
Format:	Preprint
Publié:	2026
Sujets:	Dynamical Systems Algebraic Topology Machine Learning
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Topological Detection of Phenomenological Bifurcations with Unreliable Kernel Densities
par: Tanweer, Sunia, et autres
Publié: (2024)

Dynamical System Parameter Path Optimization using Persistent Homology
par: Chumley, Max M., et autres
Publié: (2025)

A Stable Measure of Chaos in Dynamical Systems using Persistent Homology
par: Krishnamoorthy, Bala, et autres
Publié: (2026)

Barcodes as Summary of Loss Function Topology
par: Barannikov, Serguei, et autres
Publié: (2019)

Persistent Homology as Stopping-Criterion for Voronoi Interpolation
par: Melodia, Luciano, et autres
Publié: (2019)

Persistent Homology via Ellipsoids
par: Canova, Niklas, et autres
Publié: (2024)

Stability for Inference with Persistent Homology Rank Functions
par: Wang, Qiquan, et autres
Publié: (2023)

Boosting Graph Pooling with Persistent Homology
par: Ying, Chaolong, et autres
Publié: (2024)

Torsion in Persistent Homology and Neural Networks
par: Walch, Maria
Publié: (2025)

Topological Approach for Data Assimilation
par: Chumley, Max M., et autres
Publié: (2024)

Topology of slices through the Sierpiński tetrahedron
par: Nakajima, Yuto, et autres
Publié: (2026)

Persistent Homology via Finite Topological Spaces
par: Kayacan, Selçuk
Publié: (2025)

Detecting Regime Transitions in Dynamical Systems via the Mixup Euler Characteristic Profile
par: Majhi, Sushovan, et autres
Publié: (2026)

Persistent Homology for High-dimensional Data Based on Spectral Methods
par: Damrich, Sebastian, et autres
Publié: (2023)

Persistent homology of Morse decomposition in Markov chains based on combinatorial multivector fields
par: Woukeng, Donald
Publié: (2025)

Efficient Evader Detection in Mobile Sensor Networks
par: Adams, Henry, et autres
Publié: (2021)

Topological State Space Inference for Dynamical Systems
par: K, Mishal Assif P, et autres
Publié: (2025)

Dynamic Neural Dowker Network: Approximating Persistent Homology in Dynamic Directed Graphs
par: Li, Hao, et autres
Publié: (2024)

Persistent Homological State-Space Estimation of Functional Human Brain Networks at Rest
par: Chung, Moo K., et autres
Publié: (2022)

Quasi Zigzag Persistence: A Topological Framework for Analyzing Time-Varying Data
par: Dey, Tamal K., et autres
Publié: (2025)

Computing a Connection Matrix and Persistence Efficiently from a Morse Decomposition
par: Dey, Tamal K., et autres
Publié: (2025)

Cosmology with Persistent Homology: Parameter Inference via Machine Learning
par: Calles, Juan, et autres
Publié: (2024)

Mathematical Insights into Protein Architecture: Persistent Homology and Machine Learning Applied to the Flagellar Motor
par: Lamine, Zakaria, et autres
Publié: (2025)

Non-isotropic Persistent Homology: Leveraging the Metric Dependency of PH
par: Grande, Vincent P., et autres
Publié: (2023)

Fixation Sequences as Time Series: A Topological Approach to Dyslexia Detection
par: Huber, Marius, et autres
Publié: (2026)

Fast Topological Signal Identification and Persistent Cohomological Cycle Matching
par: García-Redondo, Inés, et autres
Publié: (2022)

Creating pseudo-Anosov Maps from Permutations and Matrices
par: Hubbard, John H., et autres
Publié: (2019)

Apocalypsis and Apocalyptic Events: The Morphogenetic Ontology of Synchronized Catastrophes
par: Martinez, Rolando Manuel Gonzales
Publié: (2025)

Linked orbits of homeomorphisms of the plane and Gambaudo-Kolev Theorem
par: Boronski, J. P.
Publié: (2021)

PHLP: Sole Persistent Homology for Link Prediction - Interpretable Feature Extraction
par: You, Junwon, et autres
Publié: (2024)

Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures
par: Loiseaux, David, et autres
Publié: (2023)

Topological Quality of Subsets via Persistence Matching Diagrams
par: Torras-Casas, Álvaro, et autres
Publié: (2023)

A Stable Measure of Similarity for Time Series using Persistent Homology
par: Krishnamoorthy, Bala, et autres
Publié: (2025)

Time Series, Persistent Homology and Chirality
par: Baryshnikov, Yuliy
Publié: (2019)

A Normalized Bottleneck Distance on Persistence Diagrams and Homology Preservation under Dimension Reduction
par: May, Nathan H., et autres
Publié: (2023)

Geometric structures in Topology, Geometry, Global Analysis and Dynamics
par: Neofytidis, Christoforos
Publié: (2022)

Measurable bounded cohomology of $t$-discrete measured groupoids via resolutions
par: Sarti, Filippo, et autres
Publié: (2025)

Persistence Spheres: Bi-continuous Representations of Persistence Diagrams
par: Pegoraro, Matteo
Publié: (2025)

Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces
par: Lipiński, Michał, et autres
Publié: (2019)

Convolutional Persistence Transforms
par: Solomon, Elchanan, et autres
Publié: (2022)