A homotopy analysis method for limit cycle of the van der Pol oscillator with delayed amplitude limiting

DOI10.1016/J.AMC.2011.04.029zbMath1215.65122OpenAlexW2172238966MaRDI QIDQ548027

Mohammad Khodabakhsh, Ali Kamali Eigoli

Publication date: 27 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.029

zbMATH Keywords

limit cyclevan der Pol oscillatorhomotopy analysis methoddelayed amplitude limiting

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (6)

Residue harmonic balance solution procedure to nonlinear delay differential systems ⋮ Triple-zero bifurcation in van der Pol's oscillator with delayed feedback ⋮ Bifurcating periodic solution for a class of first-order nonlinear delay differential equation after Hopf bifurcation ⋮ Fractional derivative and time delay damper characteristics in Duffing-van der Pol oscillators ⋮ Numerical simulation of van der Pol equation using multiple scales modified Lindstedt-Poincaré method ⋮ Bifurcation of the periodic motion in nonlinear delayed oscillators

Cites Work

• Unnamed Item
• A study of homotopy analysis method for limit cycle of van der Pol equation
• An analytic approximate approach for free oscillations of self-excited systems
• Uniformly valid solution of limit cycle of the Duffing-van der Pol equation
• Dynamics of two delay coupled van der Pol oscillators
• Parametric excitation for forcing van der Pol oscillator.
• On the homotopy analysis method for nonlinear problems.
• A general numerical method for solution of gravity wave problems. Part 2: Steady nonlinear gravity waves

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