Uniqueness of relaxation oscillations: A classical approach

DOI10.1090/S0033-569X-2015-01379-6zbMath1323.34060OpenAlexW2008361078MaRDI QIDQ5254368

John Bryce McLeod, Stuart P. Hastings

Publication date: 9 June 2015

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2015-01379-6

zbMATH Keywords

periodic orbitrelaxation oscillation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (2)

Relaxation oscillations in predator-prey systems ⋮ The entry-exit theorem and relaxation oscillations in slow-fast planar systems

Cites Work

• Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
• Scaling in biochemical kinetics: Dissection of a relaxation oscillator
• Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
• Scaling in Singular Perturbation Problems: Blowing Up a Relaxation Oscillator
• Relaxation oscillation and canard explosion
• Unnamed Item
• Unnamed Item

This page was built for publication: Uniqueness of relaxation oscillations: A classical approach