| Автор | G-MARGALLO, J. |
| Автор | BEJARANO, J. D. |
| Дата выпуска | 1989 |
| dc.description | The approximate solution of non-linear differential equations is studied to second-order using the method of harmonic balance with generalized Fourier series and Jacobian elliptic functions. As an interesting use of the series, very good analytic approximations to the limit cycles of Liénard's ordinary differential equation, [Xdot] + g(X) = f(X)[Xdot] are presented. In the generalized van der Pol equation with f(X)= ϵ(1 − X<sup>2</sup>) and g(X) = AX + 2BX<sub>3</sub> a very good second-order approximation is given that depends on the values of A/B and ϵ. |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | Generalized Fourier series for non-linear systems: application to the study of limit cycles in second-order approximation |
| Тип | research-article |
| DOI | 10.1080/00207178908953396 |
| Electronic ISSN | 1366-5820 |
| Print ISSN | 0020-7179 |
| Журнал | International Journal of Control |
| Том | 50 |
| Первая страница | 763 |
| Последняя страница | 772 |
| Аффилиация | G-MARGALLO, J.; Depariamento de Fisica, Facultad de Ciencias, Universidad de Extremadura |
| Аффилиация | BEJARANO, J. D.; Depariamento de Fisica, Facultad de Ciencias, Universidad de Extremadura |
| Выпуск | 3 |
