Results 11 to 20 of about 700 (42)
Chaos in Duopoly Games via Furstenberg Family Couple
Complexity, 2019 Assume that H1 and H2 are two given closed subintervals of ℝ and that f2:H1⟶H2 and f1:H2⟶H1 are continuous maps. Let ϒh1,h2=f1h2,f2h1 be a Cournot map over the space H1×H2. In this paper, we study G1,G2-chaos (resp.
Yu Zhao, Risong Li
doaj +2 more sources
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
On a notion of entropy in coarse geometry
Topological Algebra and its Applications, 2019 The notion of entropy appears in many branches of mathematics. In each setting (e.g., probability spaces, sets, topological spaces) entropy is a non-negative real-valued function measuring the randomness and disorder that a self-morphism creates. In this
Zava Nicolò
doaj +1 more source
Reconstruction of some cosmological models in f(R,T) gravity
, 2012 In this paper, we reconstruct cosmological models in the framework of $f(R,T)$ gravity, where $R$ is the Ricci scalar and $T$ is the trace of the stress-energy tensor.
A. Felice De +32 more
core +1 more source