Competition instabilities of spike patterns for the 1D Gierer–Meinhardt and Schnakenberg models are subcritical

Mathematics

• Numerical Simulation 100%
• Partial Differential Equation 100%
• Asymptotic Expansion 100%
• Nonlinear Analysis 100%
• Asymmetric 100%
• Eigenvalue 100%
• Bifurcation Point 100%
• Eigenvalue Problem 100%
• Numerical Solution 100%
• Symmetry Breaking 100%

Keyphrases

• Spike Patterns 100%
• Schnakenberg Model 100%
• Competition Instability 100%
• Boundary Spike 57%
• Instability Threshold 28%
• Reaction-diffusion System 28%
• Linear Instability 28%
• Amplitude Equations 28%
• Steady State 14%
• Parameter Values 14%
• Numerical Simulation 14%
• Weakly Nonlinear Theory 14%
• Diffusivity 14%
• Spatial Configuration 14%
• PDE 14%
• Eigenvalue Crossing 14%
• Two-component 14%
• Zero Eigenvalue 14%
• Symmetry-breaking Bifurcation 14%
• Numerical Bifurcation 14%
• Diffusion Ratio 14%
• Diffusion Field 14%
• Coarsening Processes 14%
• Nonlocal Eigenvalue Problem 14%
• Unstable Branch 14%
• Bifurcation Point 14%
• Reaction-diffusion 14%
• Singular Limit 14%
• Bulk Diffusion 14%
• Weakly Nonlinear Analysis 14%
• Symmetric Boundaries 14%
• Linear Theory 14%
• Multiscale Asymptotic Expansion 14%
• Steady-state Problem 14%
• Numerical Solution 14%

Engineering

• Eigenvalue 100%
• Diffusivity 100%
• Instability Threshold 100%
• Computer Simulation 50%
• Numerical Solution 50%
• Linear Theory 50%
• Asymptotic Expansion 50%
• Nonlinear Theory 50%
• Nonlinear Analysis 50%
• Spatial Configuration 50%
• Bifurcation Point 50%
• Multiscale 50%
• Steady State Problem 50%
• Bulk Diffusion 50%