Geodesic
Properties of dynamical systems with the asymptotic average shadowing property
Marcin Kulczycki 1   ; Piotr Oprocha 2
1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
2 Departamento de Matemáticas Universidad de Murcia Campus de Espinardo 30100 Murcia, Spain and Faculty of Applied Mathematics AGH University of Science and Technology Al. Mickiewicza 30 30-059 Kraków, Poland
Fundamenta Mathematicae, Tome 212 (2011) no. 1, pp. 35-52 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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This article investigates under what conditions nontransitivity can coexist with the asymptotic average shadowing property. We show that there is a large class of maps satisfying both conditions simultaneously and that it is possible to find such examples even among maps on a compact interval. We also study the limit shadowing property and its relation to the asymptotic average shadowing property.
DOI : 10.4064/fm212-1-3
Keywords: article investigates under what conditions nontransitivity coexist asymptotic average shadowing property there large class maps satisfying conditions simultaneously possible examples even among maps compact interval study limit shadowing property its relation asymptotic average shadowing property

Marcin Kulczycki  1   ; Piotr Oprocha  2

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
2 Departamento de Matemáticas Universidad de Murcia Campus de Espinardo 30100 Murcia, Spain and Faculty of Applied Mathematics AGH University of Science and Technology Al. Mickiewicza 30 30-059 Kraków, Poland 
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Marcin Kulczycki; Piotr Oprocha. Properties of dynamical systems with the asymptotic average shadowing property. Fundamenta Mathematicae, Tome 212 (2011) no. 1, pp. 35-52. doi: 10.4064/fm212-1-3

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