A note on the solutions of the Van der Pol and Duffing equations using a linearisation method

DOI10.1155/2012/693453zbMath1264.34068OpenAlexW2133196710WikidataQ58911586 ScholiaQ58911586MaRDI QIDQ1955083

Precious Sibanda, Sandile Sydney Motsa

Publication date: 11 June 2013

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/693453

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (4)

Numerical solutions of Duffing van der Pol equations on the basis of hybrid functions ⋮ Hermite Functional Link Neural Network for Solving the Van der Pol–Duffing Oscillator Equation ⋮ Approximate periodic solutions for oscillatory phenomena modelled by nonlinear differential equations ⋮ Analytic approximate solutions of the cubic-quintic Duffing-van der Pol equation with two-external periodic forcing terms: stability analysis

Uses Software

• Matlab

Cites Work

• A linearisation method for non-linear singular boundary value problems
• 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
• On the periodic solution of the van der Pol equation for small values of the damping parameter
• Beyond Perturbation
• Spectral Methods in MATLAB
• Series solutions of coupled Van der Pol equation by means of homotopy analysis method
• VAN DER POL'S OSCILLATOR UNDER DELAYED FEEDBACK
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• Unnamed Item

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