Analytical solution of a nonlinear oscillator by the linearized perturbation technique

DOI10.1016/S1007-5704(99)90021-7zbMath0928.34013OpenAlexW2082871950MaRDI QIDQ1303305

Ji-Huan He

Publication date: 27 September 1999

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)90021-7

zbMATH Keywords

nonlinear equationsartificial parameter

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (4)

Iteration Perturbation Method for Strongly Nonlinear Oscillations ⋮ Perturbation approach to ball-bearing oscillator without possible small parameter ⋮ Application of He's semi-inverse method to the nonlinear Schrödinger equation ⋮ Determination of periodic solutions for nonlinear oscillators with fractional powers by He's modified Lindstedt-Poincaré method

Cites Work

• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Some new approaches to the Duffing equation with strongly and high-order nonlinearity. I: Linearized perturbation technique
• Unnamed Item

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