Generalized quadratic embeddings for nonlinear dynamics using deep learning

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Hamiltonian systems and transformations in Hilbert space.
Modeling and nonlinear parameter estimation with Kronecker product representation for coupled oscillators and spatiotemporal systems
A data-driven approximation of the koopman operator: extending dynamic mode decomposition
Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop `Model order reduction, coupled problems and optimization', Leiden, The Netherlands, September 19--23, 2005.
A framework for the solution of the generalized realization problem
Recasting nonlinear differential equations as S-systems: a canonical nonlinear form
Balanced truncation model order reduction in limited time intervals for large systems
Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry
Lift \& learn: physics-informed machine learning for large-scale nonlinear dynamical systems
Deep learning of dynamics and signal-noise decomposition with time-stepping constraints
Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders
Data-driven operator inference for nonintrusive projection-based model reduction
Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction
Operator inference for non-intrusive model reduction with quadratic manifolds
A survey of projection-based model reduction methods for parametric dynamical systems
Dynamic mode decomposition of numerical and experimental data
Vector Fitting for Matrix-valued Rational Approximation
Spectral analysis of nonlinear flows
Automated reverse engineering of nonlinear dynamical systems
Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks
Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator
Analysis of Non-polynomial Systems Using the Sum of Squares Decomposition
Data-Driven Science and Engineering
Data-driven discovery of coordinates and governing equations
Two-Sided Projection Methods for Nonlinear Model Order Reduction
The AAA Algorithm for Rational Approximation
Output feedback control for quadratic systems: A Lyapunov function approach

This page was built for publication: Generalized quadratic embeddings for nonlinear dynamics using deep learning

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6554923)