Reduction of continuous symmetries of chaotic flows by the method of slices

DOI10.1016/j.cnsns.2011.07.007zbMath1323.37019arXiv1101.3037OpenAlexW2009155749WikidataQ56969186 ScholiaQ56969186MaRDI QIDQ426140

Predrag Cvitanović, Stefan Froehlich

Publication date: 11 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3037

zbMATH Keywords

relative equilibriaLie groupssymmetry reductionmoving framesequivariant dynamicsrelative periodic orbitsslices

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items

Model Order Reduction for Stochastic Dynamical Systems with Continuous Symmetries ⋮ Cartography of high-dimensional flows: A visual guide to sections and slices ⋮ POD-based study of turbulent plane Poiseuille flow: comparing structure and dynamics between quasi-linear simulations and DNS ⋮ Periodic orbit analysis of a system with continuous symmetry—A tutorial ⋮ Capturing the edge of chaos as a spectral submanifold in pipe flows ⋮ Symmetry reduction of turbulent pipe flows

Uses Software

• channelflow

Cites Work

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