Singular limit analysis of a model for earthquake faulting

DOI10.1088/1361-6544/aa712ezbMath1381.34067arXiv1603.02448OpenAlexW3101645996MaRDI QIDQ4978486

Morten Brøns, Elena Bossolini, K. Uldall Kristiansen

Publication date: 11 August 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02448

zbMATH Keywords

singular perturbationblow-upHamiltonian systemrelaxation oscillationearthquake dynamics

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26)

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Cites Work

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• Multiple time scale dynamics
• Slip motion and stability of a single degree of freedom elastic system with rate and state dependent friction
• Geometric singular perturbation analysis of an autocatalator model
• Geometric singular perturbation theory for ordinary differential equations
• On the Lambert \(w\) function
• Stability of quasi-static slip in a single degree of freedom elastic system with rate and state dependent friction
• Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
• Stability of Steady Frictional Slipping
• Canard cycles and center manifolds
• Singular limit analysis of a model for earthquake faulting
• Normal hyperbolicity and unbounded critical manifolds
• Blowup for flat slow manifolds