Numerical bifurcation analysis of a 3D Turing-type reaction-diffusion model

DOI10.1016/j.cnsns.2018.01.003zbMath1470.65183OpenAlexW2788063040MaRDI QIDQ2207850

Weiyan Song, S. Baars, Jonas Thies, Fred. W. Wubs

Publication date: 23 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.cnsns.2018.01.003

zbMATH Keywords

stabilitypattern formationbifurcation diagramcontinuation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Second-order parabolic systems (35K40)

Related Items (3)

Towards Scalable Automatic Exploration of Bifurcation Diagrams for Large-Scale Applications ⋮ A new semi-analytical approach for quasi-periodic vibrations of nonlinear systems ⋮ Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects

Uses Software

• JDQR
• Trilinos
• JDQZ
• ML

Cites Work

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• Turing patterns with O(3) symmetry
• A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
• Singularities and groups in bifurcation theory. Volume II
• Three-dimensional dissipative structures in reaction-diffusion systems
• A new dimension to Turing patterns
• Pattern formation in three-dimensional reaction-diffusion systems
• Practical bifurcation and stability analysis
• Difference Equations by Differential Equation Methods
• Numerical Methods for Large Eigenvalue Problems
• Hydrodynamic Instabilities
• Tomography of Reaction-Diffusion Microemulsions Reveals Three-Dimensional Turing Patterns
• Bifurcation Analysis of a Generic Reaction–Diffusion Turing Model
• Increasing the Performance of the Jacobi--Davidson Method by Blocking
• Introduction to Numerical Continuation Methods
• A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems
• The chemical basis of morphogenesis

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