Surprises in a Classic Boundary-Layer Problem

DOI10.1137/21M1436087MaRDI QIDQ5883304

Mario W. Gomes, Unnamed Author, Unnamed Author, Leo C. Stein, Steven H. Strogatz

Publication date: 30 March 2023

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.11624

zbMATH Keywords

singular perturbationdynamical systemsboundary layermatched asymptoticsshooting methodhigher-order matching

Mathematics Subject Classification ID

Singular nonlinear boundary value problems for ordinary differential equations (34B16) Computational methods for bifurcation problems in dynamical systems (37M20) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items

Algorithmic criteria for the validity of quasi-steady state and partial equilibrium models: the Michaelis-Menten reaction mechanism

Uses Software

• DLMF
• mpmath
• SciPy
• NumPy
• Matplotlib
• Python
• GitHub

Cites Work

• Multiple time scale dynamics
• Chasse au canard
• The canard unchained or how fast/slow dynamical systems bifurcate
• Singular perturbation methods for ordinary differential equations
• The devil's invention: Asymptotic, superasymptotic and hyperasymptotic series
• On the Lambert \(w\) function
• On fast-slow consensus networks with a dynamic weight
• Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
• Bifurcation of solutions to Hamiltonian boundary value problems
• Relaxation oscillations including a standard chase on French ducks
• Canard cycles and center manifolds
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