Local control of globally competing patterns in coupled Swift–Hohenberg equations

DOI10.1063/1.5018139zbMath1394.35035OpenAlexW2802925245WikidataQ59901676 ScholiaQ59901676MaRDI QIDQ4565986

Markus Bär, Sina Reichelt, Thomas Niedermayer, Maximilian Becker, Thomas Frenzel, Alexander Mielke

Publication date: 13 June 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5018139

zbMATH Keywords

cubic nonlinearitiesweakly nonlinear analysiscoupled amplitude equationsanalytical and numerical investigationsglobal pattern selection

Mathematics Subject Classification ID

Second-order parabolic systems (35K40) Ginzburg-Landau equations (35Q56) Pattern formations in context of PDEs (35B36)

Cites Work

• Unnamed Item
• Deriving amplitude equations via evolutionary \(\Gamma\)-convergence
• Travelling-stripe forcing of Turing patterns
• Hydrodynamic instabilities and the transition to turbulence. 2nd ed
• Sources, sinks and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave systems
• On the influence of inhomogeneities in a reaction-diffusion system
• Pinning and de-pinning phenomena in front propagation in heterogeneous media
• Pinned fronts in heterogeneous media of jump type
• Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
• Pattern Formation and Dynamics in Nonequilibrium Systems
• The validity of modulation equations for extended systems with cubic nonlinearities
• Validity and Limitation of the Newell‐Whitehead Equation
• Nonlinear Physics of Ecosystems
• Spatio-temporal dynamics induced by competing instabilities in two asymmetrically coupled nonlinear evolution equations
• Pattern formation outside of equilibrium
• Finite bandwidth, finite amplitude convection

This page was built for publication: Local control of globally competing patterns in coupled Swift–Hohenberg equations