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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

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