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A Perturbation-Incremental Method for Strongly Nonlinear Autonomous Oscillators with Many Degrees of Freedom |
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| Authors: | Chung K. W. Chan C. L. Xu Z. Mahmoud G. M. |
| Affiliation: | (1) Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;(2) Department of Mechanics, Zhongshan University, Guangzhou, P. R. China;(3) Department of Mathematics, Faculty of Science, University of Assiut, Assiut, 71516, Egypt |
| Abstract: | The perturbation-incremental method is extended to determine thebifurcations and limit cycles of strongly nonlinear autonomousoscillators with many degrees of freedom. Coupled van der Poloscillators and coupled Rayleigh oscillators are taken as numericalexamples. Limit cycles of the oscillators can be calculated to anydesired degree of accuracy. The stabilities of limit cycles are alsodiscussed. |
| Keywords: | limit cycles strongly nonlinear coupled oscillators Floquet method bifurcation |
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