Neural Ordinary Differential Equations for Learning and Extrapolating System Dynamics Across Bifurcations
Fuente:
arXiv
Saved in:
| Main Authors: | van Tegelen, Eva, van Voorn, George, Athanasiadis, Ioannis, van Heijster, Peter |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Late Fusion Neural Operators for Extrapolation Across Parameter Space in Partial Differential Equations
by: van Tegelen, Eva, et al.
Published: (2026)
by: van Tegelen, Eva, et al.
Published: (2026)
Neural Ordinary Differential Equations for Modeling Socio-Economic Dynamics
by: Samota, Sandeep Kumar, et al.
Published: (2026)
by: Samota, Sandeep Kumar, et al.
Published: (2026)
Embedded Variational Neural Stochastic Differential Equations for Learning Heterogeneous Dynamics
by: Samota, Sandeep Kumar, et al.
Published: (2026)
by: Samota, Sandeep Kumar, et al.
Published: (2026)
Forecasting with an N-dimensional Langevin Equation and a Neural-Ordinary Differential Equation
by: Malpica-Morales, Antonio, et al.
Published: (2024)
by: Malpica-Morales, Antonio, et al.
Published: (2024)
Machine Learning for Complex Systems Dynamics: Detecting Bifurcations in Dynamical Systems with Deep Neural Networks
by: Pal, Swadesh, et al.
Published: (2026)
by: Pal, Swadesh, et al.
Published: (2026)
Automating the Discovery of Partial Differential Equations in Dynamical Systems
by: Li, Weizhen, et al.
Published: (2024)
by: Li, Weizhen, et al.
Published: (2024)
GN-SINDy: Greedy Sampling Neural Network in Sparse Identification of Nonlinear Partial Differential Equations
by: Forootani, Ali, et al.
Published: (2024)
by: Forootani, Ali, et al.
Published: (2024)
Neural Context Flows for Meta-Learning of Dynamical Systems
by: Nzoyem, Roussel Desmond, et al.
Published: (2024)
by: Nzoyem, Roussel Desmond, et al.
Published: (2024)
Conformal Disentanglement: A Neural Framework for Perspective Synthesis and Differentiation
by: Kevrekidis, George A., et al.
Published: (2024)
by: Kevrekidis, George A., et al.
Published: (2024)
MPINeuralODE: Multiple-Initial-Condition Physics-Informed Neural ODEs for Globally Consistent Dynamical System Learning
by: Yang, Lake, et al.
Published: (2026)
by: Yang, Lake, et al.
Published: (2026)
Joint Learning of Linear Time-Invariant Dynamical Systems
by: Modi, Aditya, et al.
Published: (2021)
by: Modi, Aditya, et al.
Published: (2021)
Neural Integral Equations
by: Zappala, Emanuele, et al.
Published: (2022)
by: Zappala, Emanuele, et al.
Published: (2022)
Stability of asymptotic waves in the Fisher-Stefan equation
by: Bui, T. T. H., et al.
Published: (2024)
by: Bui, T. T. H., et al.
Published: (2024)
Learning Dissipative Neural Dynamical Systems
by: Xu, Yuezhu, et al.
Published: (2023)
by: Xu, Yuezhu, et al.
Published: (2023)
Global Dynamics of Ordinary Differential Equations: Wall Labelings, Conley Complexes, and Ramp Systems
by: Gameiro, Marcio, et al.
Published: (2024)
by: Gameiro, Marcio, et al.
Published: (2024)
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)
by: Shokar, Ira J. S., et al.
Published: (2025)
Non-Negative Universal Differential Equations With Applications in Systems Biology
by: Philipps, Maren, et al.
Published: (2024)
by: Philipps, Maren, et al.
Published: (2024)
On Data-Driven Koopman Representations of Nonlinear Delay Differential Equations
by: Rajkumar, Santosh Mohan, et al.
Published: (2026)
by: Rajkumar, Santosh Mohan, et al.
Published: (2026)
A Novel Neural Filter to Improve Accuracy of Neural Network Models of Dynamic Systems
by: Oveissi, Parham, et al.
Published: (2024)
by: Oveissi, Parham, et al.
Published: (2024)
Equivariant Manifold Neural ODEs and Differential Invariants
by: Andersdotter, Emma, et al.
Published: (2024)
by: Andersdotter, Emma, et al.
Published: (2024)
PINN-Obs: Physics-Informed Neural Network-Based Observer for Nonlinear Dynamical Systems
by: Farkane, Ayoub, et al.
Published: (2025)
by: Farkane, Ayoub, et al.
Published: (2025)
Data-Specific Hyper-Parameter Design: A Paradigm Shift in Reservoir Computing
by: Manjunath, G, et al.
Published: (2026)
by: Manjunath, G, et al.
Published: (2026)
Machine Learning for the identification of phase-transitions in interacting agent-based systems: a Desai-Zwanzig example
by: Evangelou, Nikolaos, et al.
Published: (2023)
by: Evangelou, Nikolaos, et al.
Published: (2023)
Generalized Quadratic Embeddings for Nonlinear Dynamics using Deep Learning
by: Goyal, Pawan, et al.
Published: (2022)
by: Goyal, Pawan, et al.
Published: (2022)
$PG-NODE^{TB}$: Physics-Guided Neural Ordinary Differential Equations for Tuberculosis Transmission Dynamics
by: Kasereka, Selain K., et al.
Published: (2026)
by: Kasereka, Selain K., et al.
Published: (2026)
Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network
by: Chen, Chen, et al.
Published: (2025)
by: Chen, Chen, et al.
Published: (2025)
Self-Supervised Evolution Operator Learning for High-Dimensional Dynamical Systems
by: Turri, Giacomo, et al.
Published: (2025)
by: Turri, Giacomo, et al.
Published: (2025)
DySLIM: Dynamics Stable Learning by Invariant Measure for Chaotic Systems
by: Schiff, Yair, et al.
Published: (2024)
by: Schiff, Yair, et al.
Published: (2024)
A Weak Penalty Neural ODE for Learning Chaotic Dynamics from Noisy Time Series
by: Li, Xuyang, et al.
Published: (2025)
by: Li, Xuyang, et al.
Published: (2025)
Semi-Explicit Neural DAEs: Learning Long-Horizon Dynamical Systems with Algebraic Constraints
by: Pal, Avik, et al.
Published: (2025)
by: Pal, Avik, et al.
Published: (2025)
Multi-Hierarchical Surrogate Learning for Structural Dynamical Crash Simulations Using Graph Convolutional Neural Networks
by: Kneifl, Jonas, et al.
Published: (2024)
by: Kneifl, Jonas, et al.
Published: (2024)
A Training-Free Conditional Diffusion Model for Learning Stochastic Dynamical Systems
by: Liu, Yanfang, et al.
Published: (2024)
by: Liu, Yanfang, et al.
Published: (2024)
Chaotic motion and singularity structures of front solutions in multi-component FitzHugh-Nagumo-type systems
by: Chirilus-Bruckner, Martina, et al.
Published: (2024)
by: Chirilus-Bruckner, Martina, et al.
Published: (2024)
A Dynamical Systems Perspective on the Analysis of Neural Networks
by: Chemnitz, Dennis, et al.
Published: (2025)
by: Chemnitz, Dennis, et al.
Published: (2025)
Learning the Simplest Neural ODE
by: Okamoto, Yuji, et al.
Published: (2025)
by: Okamoto, Yuji, et al.
Published: (2025)
CGKN: A Deep Learning Framework for Modeling Complex Dynamical Systems and Efficient Data Assimilation
by: Chen, Chuanqi, et al.
Published: (2024)
by: Chen, Chuanqi, et al.
Published: (2024)
Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective
by: Wendin, Joel, et al.
Published: (2025)
by: Wendin, Joel, et al.
Published: (2025)
Enhancing Neural Training via a Correlated Dynamics Model
by: Brokman, Jonathan, et al.
Published: (2023)
by: Brokman, Jonathan, et al.
Published: (2023)
Safely Learning Dynamical Systems
by: Ahmadi, Amir Ali, et al.
Published: (2023)
by: Ahmadi, Amir Ali, et al.
Published: (2023)
Existence of Invariant Probability Measures for Stochastic Differential Equations with Finite Time Delay
by: Bosch, Mark van den, et al.
Published: (2024)
by: Bosch, Mark van den, et al.
Published: (2024)
Similar Items
-
Late Fusion Neural Operators for Extrapolation Across Parameter Space in Partial Differential Equations
by: van Tegelen, Eva, et al.
Published: (2026) -
Neural Ordinary Differential Equations for Modeling Socio-Economic Dynamics
by: Samota, Sandeep Kumar, et al.
Published: (2026) -
Embedded Variational Neural Stochastic Differential Equations for Learning Heterogeneous Dynamics
by: Samota, Sandeep Kumar, et al.
Published: (2026) -
Forecasting with an N-dimensional Langevin Equation and a Neural-Ordinary Differential Equation
by: Malpica-Morales, Antonio, et al.
Published: (2024) -
Machine Learning for Complex Systems Dynamics: Detecting Bifurcations in Dynamical Systems with Deep Neural Networks
by: Pal, Swadesh, et al.
Published: (2026)