Results 11 to 20 of about 701 (43)
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
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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
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Localization of the Chain Recurrent set using Shape theory and Symbolical Dynamics
Topological Algebra and its Applications, 2019 The main aim of this paper is localization of the chain recurrent set in shape theoretical framework. Namely, using the intrinsic approach to shape from [1] we present a result which claims that under certain conditions the chain recurrent set preserves ...
Shoptrajanov M.
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, 1997 The authors generalize the dynamical system constructed by J. Auslander in 1959, resulting in perhaps the simplest family of examples of minimal but not strictly ergodic systems. A characterization of unique ergodicity and mean-L-stability is given.
Haddad, K. N., Johnson, Aimee S. A.
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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
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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
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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
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Attractors of dynamical systems in locally compact spaces
Open Mathematics, 2019 In this article the properties of attractors of dynamical systems in locally compact metric space are discussed. Existing conditions of attractors and related results are obtained by the near isolating block which we present.
Li Gang, Gao Yuxia
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The closure of ideals of $\boldsymbol{\ell^1(\Sigma)}$ in its enveloping $\boldsymbol{\mathrm{C}^\ast}$-algebra [PDF]
, 2017 If $X$ is a compact Hausdorff space and $\sigma$ is a homeomorphism of $X$, then an involutive Banach algebra $\ell^1(\Sigma)$ of crossed product type is naturally associated with the topological dynamical system $\Sigma=(X,\sigma)$.
de Jeu, Marcel, Tomiyama, Jun
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Relative Nielsen Numbers, Braids and Periodic Segments
Advanced Nonlinear Studies, 2017 The aim of this paper is to establish a connection between the method of period segments and the relative Nielsen fixed point theory. We prove that if W is a periodic segment over [0,T]{[0,T]} for the T-periodic semi-process Φ, then the Poincaré map P ...
Wójcik Klaudiusz
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