| Автор | J. A. C. Gallas |
| Дата выпуска | 1999-09-15 |
| dc.description | We report the existence of a phenomenon of inheritance among periodic trajectories of the quadratic map. Within the set S<sub>k</sub> of all possible trajectories of period k we find "mother” trajectories from which several "daughters” may be derived by simple polynomial transformations. For example, from the six orbital points z<sub>i</sub> of a period-six mother we get three additional period-six daughters as the zeros of the six cubics x<sup>3</sup> − 3x − z<sub>i</sub> = 0. Daughters might have daughters. This stratification shows that periodic orbits are not necessarily independent of each other. This fact could be of importance for decomposing certain sums involving sets of periodic trajectories, particularly for trace formulas underlying semiclassical interpretations of spectra in atomic physics. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 1999 EDP Sciences |
| Название | Nonlinear dependencies between sets of periodic orbits |
| Тип | lett |
| DOI | 10.1209/epl/i1999-00438-4 |
| Electronic ISSN | 1286-4854 |
| Print ISSN | 0295-5075 |
| Журнал | EPL (Europhysics Letters) |
| Том | 47 |
| Первая страница | 649 |
| Последняя страница | 655 |
| Аффилиация | J. A. C. Gallas; Departamento de Física, Faculdade de Ciências, Universidade de Lisboa 1749-016 Lisboa, Portugal Instituto de Física, Universidade Federal do Rio Grande do Sul 91501-970 Porto Alegre, Brazil |
| Выпуск | 6 |
