Periodic solutions for Van der Pol equation with time delay

DOI10.1016/j.amc.2006.09.032zbMath1210.34096OpenAlexW1989645026MaRDI QIDQ883940

Guojian Lin

Publication date: 12 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.032

zbMATH Keywords

time delayperiodic solutioninertial manifoldVan der Pol equationgeometric singular perturbation theorylinear chain trick

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15)

Related Items (9)

Anti-periodic solutions of Liénard equations with state dependent impulses ⋮ Zero-Hopf bifurcation for van der Pol's oscillator with delayed feedback ⋮ Triple-zero bifurcation in van der Pol's oscillator with delayed feedback ⋮ Periodic solutions of nonlinear delay differential equations using spectral element method ⋮ Methods for solving singular perturbation problems arising in science and engineering ⋮ Fractional derivative and time delay damper characteristics in Duffing-van der Pol oscillators ⋮ Periodic van der Pol equation with state dependent impulses ⋮ Distributional van der Pol equation with state-dependent impulses ⋮ Normal form of double-Hopf singularity with 1:1 resonance for delayed differential equations

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