| Автор | J S W Lamb |
| Автор | G R W Quispel |
| Дата выпуска | 1995-11-01 |
| dc.description | We consider discrete invertible dynamical systems L with the property that the kth iterate L<sup>k</sup> possesses (reversing) symmetries mat are not possessed by L. A map U is called a (reversing) k-symmetry of L if k is the smallest positive integer for which U is a (reversing) symmetry of L<sup>k</sup>. In this paper we discuss the particular case that L possesses a cyclic reversing k-symmetry group. We derive a decomposition property of maps that possess a cyclic reversing k-symmetry group and we classify the occurrence of such groups in invertible dynamical systems. We discuss the occurrence of nonsimultaneously linearizable nonisomorphic reversing k-symmetry groups in maps possessing cyclic reversing k-symmetry groups, illustrated by an example of a diffeomorphism on the plane R<sup>2</sup>. We also construct examples of diffeomorphisms with cyclic reversing k-symmetry groups on the circle S<sup>1</sup>, on the two-torus T<sup>2</sup>, and on the cylinder S<sup>1</sup>*R. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Cyclic reversing k-symmetry groups |
| Тип | paper |
| DOI | 10.1088/0951-7715/8/6/007 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 8 |
| Первая страница | 1005 |
| Последняя страница | 1026 |
| Аффилиация | J S W Lamb; Inst. for Theor. Phys., Amsterdam Univ., Netherlands |
| Аффилиация | G R W Quispel; Inst. for Theor. Phys., Amsterdam Univ., Netherlands |
| Выпуск | 6 |
