On periodic orbits of relaxation oscillations

DOI10.11650/TWJM/1500407430zbMath1021.34034OpenAlexW4235879274MaRDI QIDQ698549

Shagi-Di Shih

Publication date: 9 October 2003

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.math.nthu.edu.tw/~tjm/abstract/0206/tjm0206_5.html

zbMATH Keywords

singular perturbationperiodic orbitvan der Pol equationLotka-Volterra systemrelaxation oscillation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Numerical quadrature and cubature formulas (65D32) Relaxation oscillations for ordinary differential equations (34C26)

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Relaxation oscillations in spruce-budworm interactions ⋮ Equivalence of \(n\)-point Gauss-Chebyshev rule and \(4n\)-point midpoint rule in computing the period of a Lotka-Volterra system

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