zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Stability of periodic points in piecewise isometries of Euclidean spaces. (English) Zbl 1131.37027
This paper is concerned with analysis of the stability of periodic points of iterated piecewise isometries defined in a whole Euclidean space. The author considers the case when the determinant of the matrix $I-R_w$ is zero, where $R_w$ is the linear part of the return map generated by the periodic point whose coding consists of countably many repetitions of the block $w$. The opposite case of nonzero determinant has been studied by the author and {\it M. Nicol} [Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 7, 2353--2361 (2004; Zbl 1077.37504 )].

37C25Fixed points, periodic points, fixed-point index theory
37C75Stability theory
Full Text: DOI