Application of extended homotopy analysis method to the two-degree-of-freedom coupled van der Pol-Duffing oscillator

DOI10.1155/2014/729184zbMath1474.34067OpenAlexW2051840718WikidataQ59040994 ScholiaQ59040994MaRDI QIDQ1724836

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/729184

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Cites Work

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He's frequency-amplitude formulation for the Duffing harmonic oscillator
He's frequency-amplitude formulation for nonlinear oscillators with an irrational force
Periodic solution for strongly nonlinear vibration systems by He's energy balance method
A modified Lindstedt-Poincaré method for certain strongly non-linear oscillators
A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
Resonance behaviour and jump phenomenon in a two coupled Duffing-van der Pol oscillators
Asymptotic analytical solutions of the two-degree-of-freedom strongly nonlinear van der Pol oscillators with cubic couple terms using extended homotopy analysis method
Improved Lindstedt–Poincaré method for the solution of nonlinear problems
Nonexistence theorem except the out-of-phase and in-phase solutions in the coupled van der Pol equation system
A Perturbation Technique that Works Even When the Non-Linearity is Not Small
Beyond Perturbation
Two timescale harmonic balance. I. Application to autonomous one-dimensional nonlinear oscillators
Series solutions of coupled Van der Pol equation by means of homotopy analysis method
A method for obtaining approximate analytic periods for a class of nonlinear oscillators

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