Data-adaptive harmonic spectra and multilayer Stuart-Landau models
From MaRDI portal
Publication:4644288
DOI10.1063/1.4989400OpenAlexW3098411903WikidataQ45930526 ScholiaQ45930526MaRDI QIDQ4644288
Dmitri Kondrashov, Mickaël D. Chekroun
Publication date: 30 May 2018
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.04275
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Low-dimensional Galerkin approximations of nonlinear delay differential equations
- Multi-level dynamical systems: connecting the Ruelle response theory and the Mori-Zwanzig approach
- Stochastic integrals for SPDEs: a comparison
- Stochastic climate dynamics: random attractors and time-dependent invariant measures
- Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part I: Theory
- SVD of Hankel matrices in Vandermonde-Cauchy product form
- A data-driven approximation of the koopman operator: extending dynamic mode decomposition
- The Stampacchia maximum principle for stochastic partial differential equations and applications
- Control of self-organizing nonlinear systems
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Semigroups of linear operators and applications to partial differential equations
- École d'été de probabilités de Saint-Flour XIV-1984
- Weighted translation semigroups
- What are SRB measures, and which dynamical systems have them?
- Optimal prediction with memory
- Data-driven non-Markovian closure models
- Principal component analysis.
- Limiting spectral distribution of a special circulant
- Spectral decomposition of real circulant matrices
- Prediction from partial data, renormalization, and averaging
- Variations of the solution to a stochastic heat equation
- Diffusion maps
- A short course on operator semigroups
- On dynamic mode decomposition: theory and applications
- Itô's- and Tanaka's-type formulae for the stochastic heat equation: The linear case
- A min-max theorem for complex symmetric matrices
- Approximation of Stochastic Invariant Manifolds
- Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations
- A Computational Method to Extract Macroscopic Variables and Their Dynamics in Multiscale Systems
- Applied Koopmanism
- Dynamic mode decomposition of numerical and experimental data
- Diffusion Maps, Reduction Coordinates, and Low Dimensional Representation of Stochastic Systems
- Probabilistic Principal Component Analysis
- One-Parameter Semigroups for Linear Evolution Equations
- Ergodic theory of chaos and strange attractors
- Extracting macroscopic dynamics: model problems and algorithms
- Computational Methods for Inverse Problems
- Ergodicity for Infinite Dimensional Systems
- Physics constrained nonlinear regression models for time series
- Nonlinear Laplacian spectral analysis: capturing intermittent and low‐frequency spatiotemporal patterns in high‐dimensional data
- Optimal prediction and the rate of decay for solutions of the Euler equations in two and three dimensions
- On modelling physical systems with stochastic models: diffusion versus Lévy processes
- Stochastic Equations in Infinite Dimensions
