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A novel construction of homoclinic and heteroclinic orbits in?nonlinear oscillators by a perturbation-incremental method |
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| Authors: | Y Y Cao K W Chung J Xu |
| Institution: | 1. School of Mathematics & Computational Science, Sun Yat-sen University, Guangzhou, 510275, P.R. China 2. Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong 3. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, P.R. China |
| Abstract: | A novel construction of homoclinic/heteroclinic orbits (HOs) in nonlinear oscillators is presented in this paper. An accurate analytical solution of a HO for small perturbation can be obtained in terms of trigonometric functions. An advantage of the present construction is that it gives an accurate approximate solution of a HO for large parametric value in relatively few harmonic terms while other analytical methods such as the Lindstedt?CPoincaré method and the multiple scales method fail to do so. |
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