Qualitative analysis of a singularly-perturbed system of differential equations related to the van der Pol equations

DOI10.1216/rmjm/1181071919zbMath0906.34039OpenAlexW2043210996MaRDI QIDQ1382719

Edward F. Aboufadel

Publication date: 26 January 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL27-2/CONT27-2/CONT27-2.html

zbMATH Keywords

singularly perturbed systemconstruction of a trapping regionexistence of at least one stable periodic

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• On the Resonance Structure in a Forced Excitable System
• Bifurcations of Nonlinear Oscillations and Frequency Entrainment Near Resonance
• Mathematical Aspects of Hodgkin-Huxley Neural Theory
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