Quantitative jump theorem

DOI10.1090/S0077-1554-2012-00187-3zbMath1262.34067OpenAlexW2054054472MaRDI QIDQ5388837

P. I. Kaleda

Publication date: 20 April 2012

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0077-1554-2012-00187-3

zbMATH Keywords

singular perturbationslow-fast systemrelaxation oscillationsjump pointblow up method

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Relaxation oscillations for ordinary differential equations (34C26)

Cites Work

• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Geometric singular perturbation theory for ordinary differential equations
• Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
• Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
• Canard cycles and center manifolds

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