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Determination of periodic solution for a \(u^{1/3}\) force by He’s modified Lindstedt-Poincaré method. (English) Zbl 1242.70044
Summary: This paper applies He’s modified Lindstedt-Poincaré method to determine the periodic solutions of oscillators in a \(u^{1/3}\) force. The result obtained and comparison with analytical solution provides confirmation for the validity of He’s Modified Lindstedt-Poincaré method.

MSC:
70K42 Equilibria and periodic trajectories for nonlinear problems in mechanics
65L99 Numerical methods for ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations
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