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A modified perturbation technique depending upon an artificial parameter. (English) Zbl 0986.70016
From the summary: We propose a modified perturbation method to investigate analytical solutions of nonlinear oscillators without possible small parameters. An artificial perturbation equation is constructed by embedding an artificial parameter which is used as expanding parameter. This reveals that traditional perturbation techniques can be powerfully applied in this theory. Some examples, such as Duffing equation and van der Pol equation, are given to illustrate the effectiveness of the method.

MSC:
70K60 General perturbation schemes for nonlinear problems in mechanics
34E10 Perturbations, asymptotics of solutions to ordinary differential equations
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