Periodic Eigendecomposition and Its Application to Kuramoto--Sivashinsky System

DOI10.1137/15M1037299zbMath1350.65028arXiv1406.4885OpenAlexW2963785683MaRDI QIDQ2819084

Xiong Ding, Predrag Cvitanović

Publication date: 28 September 2016

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4885

zbMATH Keywords

algorithmperiodic solutionslinear stabilitychaotic systemcontinuous symmetryperiodic Schur decompositionperiodic Sylvester equationcovariant Lyapunov vectorsFloquet vectorsKuramoto-Sivashinsky flowperiodic eigendecomposition

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Periodic solutions to PDEs (35B10) Numerical chaos (65P20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Numerical nonlinear stabilities in dynamical systems (65P40) Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

Related Items (2)

A chaotic lattice field theory in one dimension* ⋮ Periodic orbit analysis of a system with continuous symmetry—A tutorial

Uses Software

• Matlab
• psSchur
• channelflow

Cites Work

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