| Автор | Carlos Gustavo Tamm de Araujo Moreira |
| Автор | Eduardo M Muñoz Morales |
| Дата выпуска | 2003-09-01 |
| dc.description | We prove that the arithmetical sum of two Cantor sets whose sum of Hausdorff dimensions is slightly bigger than 1 is generically an M-Cantorval. We conclude that, in most cases, homoclinic bifurcations in a surface associated with non-trivial basic sets with Hausdorff dimension slightly bigger than 1 present hyperbolicity and stable tangencies for positive values of the parameter, both with positive density at the initial bifurcation parameter. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Sums of Cantor sets whose sum of dimensions is close to 1 |
| Тип | paper |
| DOI | 10.1088/0951-7715/16/5/305 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 16 |
| Первая страница | 1641 |
| Последняя страница | 1647 |
| Выпуск | 5 |
