First-order approximation for canard periodic orbits in a van der Pol electronic oscillator.

DOI10.1016/S0893-9659(98)00152-9zbMath1066.34510OpenAlexW2064224704MaRDI QIDQ1808981

Estanislao Gamero, Emilio Freire, Alejandro J. Rodríguez-Luis

Publication date: 1999

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00152-9

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations for ordinary differential equations (34E15)

Related Items (9)

Asymptotic expansions for a family of non-generic canards using parametric representation ⋮ Study of a homoclinic canard explosion from a degenerate center ⋮ High-Order Analysis of Canard Explosion in the Brusselator Equations ⋮ Global stability of the attracting set of an enzyme-catalysed reaction system ⋮ Collapse of single stable states via a fractal attraction basin: analysis of a representative metabolic network ⋮ High-order study of the canard explosion in an aircraft ground dynamics model ⋮ Canard solutions in planar piecewise linear systems with three zones ⋮ Asymptotic expansions for a degenerate canard explosion ⋮ Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Asymptotic methods for relaxation oscillations and applications
• Non-standard analysis and singular perturbations of ordinary differential equations
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