Archetypal analysis of spatio-temporal dynamics

DOI10.1016/0167-2789(95)00244-8zbMath0900.76189OpenAlexW2009950026MaRDI QIDQ1906080

Adele Cutler, Emily F. Stone

Publication date: 6 February 1996

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

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00244-8

zbMATH Keywords

Karhunen-Loève decompositionconvex hull of data set

Mathematics Subject Classification ID

Turbulence (76F99) Applications of dynamical systems (37N99)

Related Items

Unnamed Item, Experimental nonlinear physics, Modal reduction of PDE models by means of snapshot archetypes, On the use of archetypes as benchmarks, Natural tangent dynamics with recurrent biorthonormalizations: a geometric computational approach to dynamical systems exhibiting slow manifolds and periodic/chaotic limit sets, Exploring archetypal dynamics of pattern formation in cellular flames, A wavelet method for the characterization of spatiotemporal patterns, Consistency of Archetypal Analysis, Probabilistic archetypal analysis

Uses Software

• KLTOOL

Cites Work

• Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
• Reconstructing phase space from PDE simulations
• Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
• The dynamics of coherent structures in the wall region of a turbulent boundary layer
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Kuramoto–Sivashinsky Dynamics on the Center–Unstable Manifold
• Archetypal Analysis