| Автор | Michael Dellnitz |
| Автор | Gary Froyland |
| Автор | Stefan Sertl |
| Дата выпуска | 2000-07-01 |
| dc.description | We discuss the existence of large isolated (non-unit) eigenvalues of the Perron-Frobenius operator for expanding interval maps. Corresponding to these eigenvalues (or `resonances') are distributions which approach the invariant density (or equilibrium distribution) at a rate slower than that prescribed by the minimal expansion rate. We consider the transitional behaviour of the eigenfunctions as the eigenvalues cross this `minimal expansion rate' threshold, and suggest dynamical implications of the existence and form of these eigenfunctions. A systematic means of constructing maps which possess such isolated eigenvalues is presented. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | On the isolated spectrum of the Perron-Frobenius operator |
| Тип | paper |
| DOI | 10.1088/0951-7715/13/4/310 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 13 |
| Первая страница | 1171 |
| Последняя страница | 1188 |
| Аффилиация | Michael Dellnitz; Department of Mathematics and Computer Science, University of Paderborn, 33095 Paderborn, Germany |
| Аффилиация | Gary Froyland; Department of Mathematics and Computer Science, University of Paderborn, 33095 Paderborn, Germany |
| Аффилиация | Stefan Sertl; Department of Mathematics and Computer Science, University of Paderborn, 33095 Paderborn, Germany |
| Выпуск | 4 |
