Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set - Publication - Bridge of Knowledge

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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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Details

Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
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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