Two methods to approximate the Koopman operator with a reservoir computer
From MaRDI portal
Publication:5858750
DOI10.1063/5.0026380zbMath1465.37096arXiv2008.10263OpenAlexW3080464420MaRDI QIDQ5858750
Marvyn Gulina, Alexandre Mauroy
Publication date: 14 April 2021
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.10263
Related Items (1)
Cites Work
- Unnamed Item
- Reservoir computing approaches to recurrent neural network training
- A data-driven approximation of the koopman operator: extending dynamic mode decomposition
- Dimensions and entropies of strange attractors from a fluctuating dynamics approach
- Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control
- Koopman operator framework for time series modeling and analysis
- Introduction to the Koopman operator in dynamical systems and control theory
- Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics
- Spectral properties of dynamical systems, model reduction and decompositions
- On dynamic mode decomposition: theory and applications
- Spectral Identification of Networks Using Sparse Measurements
- Global Stability Analysis Using the Eigenfunctions of the Koopman Operator
- Dynamic mode decomposition of numerical and experimental data
- Data Driven Modal Decompositions: Analysis and Enhancements
- Spectral analysis of nonlinear flows
- Hamiltonian Systems and Transformation in Hilbert Space
- Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator
- Oscillation and Chaos in Physiological Control Systems
- Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator
- Physics-Informed Probabilistic Learning of Linear Embeddings of Nonlinear Dynamics with Guaranteed Stability
This page was built for publication: Two methods to approximate the Koopman operator with a reservoir computer
