The reduction of complex dynamical systems using principal interaction patterns

DOI10.1016/0167-2789(95)00280-4zbMath0900.76481OpenAlexW2068910417WikidataQ57927260 ScholiaQ57927260MaRDI QIDQ1910490

F. Kwasniok

Publication date: 10 April 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/21.11116/0000-0002-76EE-E

zbMATH Keywords

expansion coefficientslinear subspaceempirical orthogonal functionssecond-order statisticsinteraction coefficientsnonlinear variational principaloptimal low-dimensional modelprincipal interaction patternstwo-dimensional geophysical fluid system on sphere

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Meteorology and atmospheric physics (86A10)

Related Items

Data-driven correction reduced order models for the quasi-geostrophic equations: a numerical investigation ⋮ Reduced modeling of unknown trajectories ⋮ Data-driven non-Markovian closure models ⋮ Experimental nonlinear physics ⋮ An efficient data-driven multiscale stochastic reduced order modeling framework for complex systems ⋮ Boundary feedback control of the Burgers equations by a reduced-order approach using centroidal Voronoi tessellations ⋮ Modal reduction of PDE models by means of snapshot archetypes ⋮ Reduction methods in climate dynamics -- a brief review ⋮ Low-dimensional dynamical system model for observed coherent structures in ocean satellite data ⋮ Optimal combination of spatial basis functions for the model reduction of nonlinear distributed parameter systems ⋮ Model reduction using proper orthogonal decomposition and predictive control of distributed reactor system ⋮ Principal Dynamical Components ⋮ Low-dimensional models of complex systems using principal interaction patterns ⋮ On the relation between energy-conserving low-order models and a system of coupled generalized Volterra gyrostats with nonlinear feedback ⋮ Reduced models of atmospheric low-frequency variability: parameter estimation and comparative performance ⋮ Low-dimensional modelling of turbulence using the proper orthogonal decomposition: A tutorial ⋮ A wavelet method for the characterization of spatiotemporal patterns ⋮ Fitting timeseries by continuous-time Markov chains: a quadratic programming approach ⋮ Variational approach to closure of nonlinear dynamical systems: autonomous case ⋮ Empirical Gramian-based spatial basis functions for model reduction of nonlinear distributed parameter systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Low-dimensional dynamics for the complex Ginzburg-Landau equation
• Topics in geophysical fluid dynamics: atmospheric dynamics, dynamo theory, and climate dynamics
• Minimal dynamial systems from PDEs using Sobolev eigenfunctions
• Spatio-temporal analysis of human electroencephalograms: Petit-mal epilepsy
• Reconstruction of the spatio-temporal dynamics of a human magnetoencephalogram
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Optimal low-dimensional dynamical approximations
• Computational Methods for Integral Equations
• The dynamics of coherent structures in the wall region of a turbulent boundary layer
• Turbulence and the dynamics of coherent structures. I. Coherent structures