Significance of non-normality-induced patterns: Transient growth versus asymptotic stability

DOI10.1063/1.4985256zbMath1390.92021OpenAlexW2739833724WikidataQ47743437 ScholiaQ47743437MaRDI QIDQ4644246

Václav Klika

Publication date: 30 May 2018

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

Full work available at URL: https://doi.org/10.1063/1.4985256

zbMATH Keywords

reaction-diffusion problemnon-normality-induced patterns

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Asymptotic stability in control theory (93D20) Developmental biology, pattern formation (92C15)

Related Items (8)

Probing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approach ⋮ Liouville-Green approximation for linearly coupled systems: asymptotic analysis with applications to reaction-diffusion systems ⋮ Turing instabilities are not enough to ensure pattern formation ⋮ A reaction-cross-diffusion model derived from kinetic equations for gas mixtures ⋮ Turing conditions for pattern forming systems on evolving manifolds ⋮ Turing and Benjamin–Feir instability mechanisms in non-autonomous systems ⋮ Domain Size Driven Instability: Self-Organization in Systems with Advection ⋮ Analysis of pattern formation using numerical continuation.

Uses Software

• Eigtool

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