| Автор | Alexander I Khibnik |
| Автор | Bernd Krauskopf |
| Автор | Christiane Rousseau |
| Дата выпуска | 1998-11-01 |
| dc.description | We derive the global bifurcation diagram of a three-parameter family of cubic Liénard systems. This family seems to have a universal character in that its bifurcation diagram (or parts of it) appears in many models from applications for which a combination of hysteretic and self-oscillatory behaviour is essential. The family emerges as a partial unfolding of a doubly degenerate Bogdanov-Takens point, that is, of the codimension-four singularity with nilpotent linear part and no quadratic terms in the normal form. We give a new presentation of a local four-parameter bifurcation diagram which is a candidate for the universal unfolding of this singularity. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Global study of a family of cubic Liénard equations |
| Тип | paper |
| DOI | 10.1088/0951-7715/11/6/005 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 11 |
| Первая страница | 1505 |
| Последняя страница | 1519 |
| Выпуск | 6 |
