Some new approaches to the Duffing equation with strongly and high-order nonlinearity. I: Linearized perturbation technique

DOI10.1016/S1007-5704(99)90064-3zbMath0932.34057OpenAlexW2060535368MaRDI QIDQ1307774

Ji-Huan He

Publication date: 13 March 2000

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(99)90064-3

zbMATH Keywords

Duffing equationstrongly and high-order nonlinearity

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items

Iteration Perturbation Method for Strongly Nonlinear Oscillations ⋮ Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method ⋮ Approximate period calculation for some strongly nonlinear oscillation by He's parameter-expanding methods ⋮ Analytical solution of a nonlinear oscillator by the linearized perturbation technique ⋮ A new approach to Duffing equation with strong and high order nonlinearity

Cites Work

• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• An approximate solution technique depending on an artificial parameter: A special example
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