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Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set
Abstract
Let f be an R^n-diffeomorphism, where n = 2, 3, for which {0} is an isolated invariant set. We determine all possible forms of the sequences of fixed point indices of iterates of f at 0, {ind(f n, 0)}_n, confirming in R3 the conjecture of Ruiz del Portal and Salazar (J Differ Equ 249, 989–1013, 2010).
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- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s00013-018-1180-2
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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ARCHIV DER MATHEMATIK
no. 110,
pages 617 - 627,
ISSN: 0003-889X - Language:
- English
- Publication year:
- 2018
- Bibliographic description:
- Graff G.: Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set// ARCHIV DER MATHEMATIK. -Vol. 110, (2018), s.617-627
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s00013-018-1180-2
- Verified by:
- Gdańsk University of Technology
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