Cover Image

Centre manifold theorem for maps along manifolds of fixed points

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	MacDonald, Lachlan Ewen
Format:	Preprint
Published:	2026
Subjects:	Dynamical Systems Machine Learning
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the Stability of a non-hyperbolic nonlinear map with non-bounded set of non-isolated fixed points with applications to Machine Learning
by: Hansen, Roberta, et al.
Published: (2024)

SINDy on slow manifolds
by: Delgado-Cano, Diemen, et al.
Published: (2025)

When and how can inexact generative models still sample from the data manifold?
by: Chandramoorthy, Nisha, et al.
Published: (2025)

Deep learning for predicting the occurrence of tipping points
by: Zhuge, Chengzuo, et al.
Published: (2024)

Flow map matching with stochastic interpolants: A mathematical framework for consistency models
by: Boffi, Nicholas M., et al.
Published: (2024)

A fixed-point theorem for face maps, or deletion-tolerant random finite sets
by: Hutchcroft, Tom, et al.
Published: (2025)

From exponential to finite/fixed-time stability: Applications to optimization
by: Ozaslan, Ibrahim K., et al.
Published: (2024)

On the Lavrentiev gap for manifold-valued maps
by: Antonini, Carlo Alberto, et al.
Published: (2025)

Call for submissions to the 2025 ISDC
by: Karim Chichakly, et al.
Published: (2024)

Simplicity bias, algorithmic probability, and the random logistic map
by: Hamzi, Boumediene, et al.
Published: (2023)

D'OH: Decoder-Only Random Hypernetworks for Implicit Neural Representations
by: Gordon, Cameron, et al.
Published: (2024)

Unique steady states for population models in a heterogeneous environment
by: de Leenheer, Patrick, et al.
Published: (2025)

Encoding subshifts through sliding block codes
by: MacDonald, Sophie
Published: (2022)

Natural measures and statistical properties of non-statistical maps with multiple neutral fixed points
by: Coates, Douglas, et al.
Published: (2024)

Contraction map sets with an external factor and weakly fixed points
by: Zhelinski, Vasil
Published: (2023)

Wild dynamics on manifolds
by: Berger, Pierre
Published: (2025)

Rational points near manifolds and Khintchine theorem
by: Beresnevich, Victor, et al.
Published: (2025)

Effective equidistribution of intersection points in hyperbolic manifolds
by: Torkaman, Tina, et al.
Published: (2025)

Equilibrium measures of manifolds without conjugate points having visibility covering
by: Mamani, Edhin
Published: (2025)

On the escape rate for intermittent maps with holes shrinking around the indifferent fixed point
by: Bonanno, Claudio, et al.
Published: (2026)

Data-driven model order reduction for structures with piecewise linear nonlinearity using dynamic mode decomposition
by: Saito, Akira, et al.
Published: (2026)

FEG-Pro: Forecast-Error Growth Profiling for Finite-Horizon Instability Analysis of Nonlinear Time Series
by: Velichko, Andrei, et al.
Published: (2026)

Data-driven forced response analysis with min-max representations of nonlinear restoring forces
by: Saito, Akira, et al.
Published: (2026)

Dynamics-Informed Deep Learning for Predicting Extreme Events
by: Katsidoniotaki, Eirini, et al.
Published: (2026)

Binned Spectral Power Loss for Improved Prediction of Chaotic Systems
by: Chakraborty, Dibyajyoti, et al.
Published: (2025)

Backpropagation on Dynamical Networks
by: Tan, Eugene, et al.
Published: (2022)

Deficiency of equation-finding approach to data-driven modeling of dynamical systems
by: Zhai, Zheng-Meng, et al.
Published: (2025)

Mori-Zwanzig latent space Koopman closure for nonlinear autoencoder
by: Gupta, Priyam, et al.
Published: (2023)

Deep Learning of the Evolution Operator Enables Forecasting of Out-of-Training Dynamics in Chaotic Systems
by: Shokar, Ira J. S., et al.
Published: (2025)

Complex fractal trainability boundary can arise from trivial non-convexity
by: Liu, Yizhou
Published: (2024)

Machine-Precision Prediction of Low-Dimensional Chaotic Systems
by: Schötz, Christof, et al.
Published: (2025)

PINN-Obs: Physics-Informed Neural Network-Based Observer for Nonlinear Dynamical Systems
by: Farkane, Ayoub, et al.
Published: (2025)

Analysis of tidal flows through the Strait of Gibraltar using Dynamic Mode Decomposition
by: Dias, Sathsara, et al.
Published: (2023)

Weighted Birkhoff Averages Accelerate Data-Driven Methods
by: Bou-Sakr-El-Tayar, Maria, et al.
Published: (2025)

CEBoosting: Online Sparse Identification of Dynamical Systems with Regime Switching by Causation Entropy Boosting
by: Chen, Chuanqi, et al.
Published: (2023)

Integrating Multimodal Data for Joint Generative Modeling of Complex Dynamics
by: Brenner, Manuel, et al.
Published: (2022)

Variational Mode Decomposition-Based Nonstationary Coherent Structure Analysis for Spatiotemporal Data
by: Ohmichi, Yuya
Published: (2023)

Globalizing manifold-based reduced models for equations and data
by: Kaszás, Bálint, et al.
Published: (2025)

On ergodic properties of geodesic flows on uniform visibility manifolds without conjugate points
by: Wu, Weisheng
Published: (2024)

Bounded Exploration with World Model Uncertainty in Soft Actor-Critic Reinforcement Learning Algorithm
by: Qiao, Ting, et al.
Published: (2024)