Homotopy perturbation method for nonlinear oscillator equations

DOI10.1016/j.chaos.2008.09.036zbMath1198.65134OpenAlexW2037922377MaRDI QIDQ602612

Wen-Ying Wu, Xu-Chu Cai

Publication date: 5 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.09.036

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99)

Cites Work

• Self-excited systems: Analytical determination of limit cycles
• Application of He's homotopy perturbation method for Laplace transform
• Homotopy-perturbation method for pure nonlinear differential equation
• Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder
• He's parameter-expanding methods for strongly nonlinear oscillators
• Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method for bifurcation of nonlinear problems
• Couette and Poiseuille flows for non-Newtonian fluids
• Homotopy perturbation method: a new nonlinear analytical technique
• Periodic solutions and bifurcations of delay-differential equations
• Homotopy perturbation method for solving boundary value problems
• Limit cycle and bifurcation of nonlinear problems
• Application of homotopy perturbation method to nonlinear wave equations
• A combined equivalent linearization and averaging perturbation method for non-linear oscillator equations
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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