Fronts in the Wake of a Parameter Ramp: Slow Passage through Pitchfork and Fold Bifurcations

Keyphrases

• Invariant Manifolds 100%
• Pitchfork Bifurcation 100%
• Fold Bifurcation 100%
• Blow-up Technique 66%
• Geometric Singular Perturbation Theory 66%
• Work Study 33%
• Monotone 33%
• Leading Order 33%
• Linearization 33%
• Convective Instability 33%
• Eigenspace 33%
• Slowly Varying 33%
• Projective Coordinates 33%
• Allen-Cahn Equation 33%
• Absolute Instability 33%
• Local Stability 33%
• Interface Location 33%
• Base State 33%
• Pitchfork 33%
• Zero-state 33%
• Fold Point 33%
• Non-hyperbolic Point 33%
• Ramp Slope 33%
• Parameter Heterogeneity 33%
• Front Formation 33%
• Local Transitions 33%

Mathematics

• Invariant Manifold 100%
• Perturbation Theory 66%
• Singular Perturbations 66%
• Projective 33%
• Allen-Cahn Equation 33%
• Eigenspace 33%
• Basis State 33%