On asymptotic approximations of first integrals for weakly nonlinear oscillators

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S.B. Waluy a, W.T. Van Horssen

2001 Proceedings of the ASME Design Engineering Technical Conference Vol. 6 A Conference paper Cited by 0

Abstract

In this paper a nonlinear oscillator problem will be studied. It will be shown that the recently developed perturbation method based on integrating vectors can be used to approximate first in integrals and periodic solutions. The existence, uniqueness, and stability of time-periodic solutions are obtained by using the approximations for the first integrals.

Affiliations

Dept. of Applied Math. Analysis, Faculty of Info. Technol. and System, Delft Univ. of Technology, 2628 CD Delft, Mekelweg 4, Netherlands; Mathematics Department, Semarang State University, Semarang, India