| Автор | Smith, Peter |
| Автор | Davenport, Neil M. |
| Дата выпуска | 1988 |
| dc.description | A perturbation method is developed for detecting homoclinic connections for the unstable Periodic solution of Duffing's equation with negative linear restoring term. The technique involves a mixture of averaging and singular perturbation methods. Each saddle connection implies a homoclinic point, and the initial bifurcation value of the forcing amplitude is given by the same formula as that obtained by Melnikov's method. The method has also been extended to include an investigation of double loop and transverse saddle connections. Conditions have also been obtained for certain large-amplitude oscillations which are known to occur for this system. The results are illustrated by numerical results for manifolds and saddle connections. |
| Формат | application.pdf |
| Издатель | Oxford University Press |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | A perturbation method for saddle connections and homoclinic bifurcation in duffing's equation |
| Тип | research-article |
| DOI | 10.1080/02681118808806036 |
| Electronic ISSN | 1465-3389 |
| Print ISSN | 0268-1110 |
| Журнал | Dynamics and Stability of Systems |
| Том | 2 |
| Первая страница | 167 |
| Последняя страница | 182 |
| Аффилиация | Smith, Peter; Department of Mathematics, University of Keele |
| Аффилиация | Davenport, Neil M.; Department of Mathematics, University of Keele |
| Выпуск | 3-4 |
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