A New Approach to Nonlinear Oscillations

B. Wu and P. Li
[+] Author and Article Information
B. Wu, P. Li

Department of Mathematics, Jilin University, Changchun 130012, P. R. China

J. Appl. Mech 68(6), 951-952 (Jun 10, 2001) (2 pages) doi:10.1115/1.1406960 History: Received June 07, 2000; Revised June 10, 2001
Copyright © 2001 by ASME
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Nayfeh, A. H., 1993, Introduction to Perturbation Techniques, John Wiley and Sons, New York.
Mickens, R. E., 1996, Oscillations in Planar Dynamic Systems, World Scientific, Singapore.
Delamotte,  B., 1993, “Nonperterbative Method for Solving Differential Equations and Finding Limit Cycles,” Phys. Rev. Lett., 70, pp. 3361–3364.
Agrwal,  V. P., and Denman,  H., 1985, “Weighted Linearization Technique for Period Approximation in Large Amplitude Nonlinear Oscillations,” J. Sound Vib., 99, pp. 463–473.
Liao,  S. J., and Chwang,  A. T., 1998, “Application of Homotopy Analysis Method in Nonlinear Oscillations,” ASME J. Appl. Mech., 65, pp. 914–922.


Grahic Jump Location
Comparison of the approximate periods with the exact one



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