Results 11 to 20 of about 30 (29)

Katsura–Exel–Pardo groupoids and the AH conjecture

Journal of the London Mathematical Society, Volume 104, Issue 5, Page 2240-2259, December 2021., 2021
Abstract It is proven that Matui's AH conjecture is true for Katsura–Exel–Pardo groupoids GA,B associated to integral matrices A and B. This conjecture relates the topological full group of an ample groupoid with the homology groups of the groupoid. We also give a criterion under which the topological full group [[GA,B]] is finitely generated.
Petter Nyland, Eduard Ortega
wiley   +1 more source

The boundary of chaos for interval mappings

Proceedings of the London Mathematical Society, Volume 121, Issue 6, Page 1427-1467, December 2020., 2020
Abstract A goal in the study of dynamics on the interval is to understand the transition to positive topological entropy. There is a conjecture from the 1980s that the only route to positive topological entropy is through a cascade of period doubling bifurcations. We prove this conjecture in natural families of smooth interval maps, and use it to study
Trevor Clark, Sofía Trejo
wiley   +1 more source

Topological mixing properties of rank‐one subshifts

Transactions of the London Mathematical Society, Volume 6, Issue 1, Page 1-21, December 2019., 2019
Abstract We study topological mixing properties and the maximal equicontinuous factor of rank‐one subshifts as topological dynamical systems. We show that the maximal equicontinuous factor of a rank‐one subshift is finite. We also determine all the finite factors of a rank‐one shift with a condition involving the cutting and spacer parameters. For rank‐
Su Gao, Caleb Ziegler
wiley   +1 more source

Common periodic points for a class of continuous commuting mappings on an interval

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 16, Page 1043-1046, 2003., 2003
The existence of common periodic points for a family of continuous commuting self‐mappings on an interval is proved and two illustrative examples are given in support of our theorem and definition.
Shin Min Kang, Weili Wang
wiley   +1 more source

Equicontinuity of iterates of circle maps

International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 3, Page 453-458, 1998., 1998
Let f be a continuous map of the circle to itself. Necessary and sufficient conditions are given for the family ofiterates to be equicontinuous.
Antonios Valaristos
wiley   +1 more source

On distal and equicontinuous compact right topological groups

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 379-388, 1994., 1994
W. Ruppert has studied, and given examples of, compact left topological groups for which the left translation flow (?G, G) is equicontinuous. Recently, we considered an analogous distal condition that applies to the groups of dynamical type; for these the topological centre is dense, so the translation flow is equicontinuous only in the trivial case ...
Paul Milnes
wiley   +1 more source

Stability and asymptotic stability in impulsive semidynamical systems

International Journal of Stochastic Analysis, Volume 7, Issue 4, Page 509-523, 1994., 1994
In this paper we generalize two results of Lasalle′s, the invariance theorem and asymptotic stability theorem of discrete and continuous semidynamical systems, to impulsive semidynamical systems.
Saroop K. Kaul
wiley   +1 more source

IFSs consisting of generalized convex contractions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper we introduce the concept of iterated function system consisting of generalized convex contractions. More precisely, given n ∈ ℕ*, an iterated function system consisting of generalized convex contractions on a complete metric space (X; d) is
Georgescu Flavian
doaj   +1 more source

The Retentivity of Four Kinds of Shadowing Properties in Non-Autonomous Discrete Dynamical Systems. [PDF]

Entropy (Basel), 2022
Jiang Y, Lu T, Pi J, Anwar W.
europepmc   +1 more source

Dynamical Systems: From Classical Mechanics and Astronomy to Modern Methods. [PDF]

J Indian Inst Sci, 2021
Rao ASRS, Krantz SG.
europepmc   +1 more source