Results 21 to 30 of about 17,604 (190)
Lifting Dynamical Properties to Hyperspaces
Applied General Topology, 2014 For a dynamical system (X,f), the passage of various dynamical properties such as transitivity, total transitivity, weakly mixing, mixing, topological exactness, topological conjugacy, to the hyperspace C(X) of X consisting of nonempty closed connected ...
Dania Masood, Pooja Singh
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PERCOLATION TRANSITION AND TOPOLOGY
Image Analysis & Stereology, 2017 A number of bidimensional random structures with increasing densities are simulated to explore possible links between Euler-Poincaré characteristic (EPC), or connectivity, and percolation threshold. For each structure model, the percolation threshold is compared with a number of typical points (extrema, zero crossings...) of the EPC curve.
Jouannot-Chesney, Patricia +2 more
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Dynamical property of hyperspace on uniform space
Demonstratio Mathematica, 2023 First, we introduce the concepts of equicontinuity, expansivity , ergodic shadowing property, and chain transitivity in uniform space. Second, we study the dynamical properties of equicontinuity, expansivity , ergodic shadowing property, and chain ...
Ji Zhanjiang
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Conceptions of topological transitivity
Topology and its Applications, 2012 There are several different common definitions of a property in topological dynamics called "topological transitivity," and it is part of the folklore of dynamical systems that under reasonable hypotheses, they are equivalent. Various equivalences are proved in different places, but the full story is difficult to find.
Akin, Ethan, Carlson, Jeffrey D.
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Axioms, 2015 Currently, there is great renewed interest in proving the topological transitivity of various classes of continuous dynamical systems. Even though this is one of the most basic dynamical properties that can be investigated, the tools used by various ...
Viorel Nitica, Andrei Török
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Towards realistic artificial benchmark for community detection algorithms evaluation [PDF]
, 2013 Assessing the partitioning performance of community detection algorithms is one of the most important issues in complex network analysis. Artificially generated networks are often used as benchmarks for this purpose.
Cherifi, Hocine +2 more
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Topological persistence machine of phase transitions [PDF]
Physical Review E, 2021 12 pages, 8 ...
Quoc Hoan Tran +2 more
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Semigroup Actions on Intuitionistic Fuzzy Metric Spaces
Advances in Fuzzy Systems, 2009 This paper investigates the dynamical systems in the context of topological semigroup actions on intuitionistic fuzzy metric spaces. We give some concepts such as topological transitivity, point transitivity, and densely point transitivity for such ...
Yaoyao Lan, Qingguo Li
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Interactions Between Aging and Alzheimer’s Disease on Structural Brain Networks
Frontiers in Aging Neuroscience, 2021 Normative aging and Alzheimer’s disease (AD) propagation alter anatomical connections among brain parcels. However, the interaction between the trajectories of age- and AD-linked alterations in the topology of the structural brain network is not well ...
Zhanxiong Wu +7 more
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Glass transition as a topological phase transition
Physical Review E, 2022 The glass transition is considered as a phase transition in the system of topologically protected excitations in matter structure. The critical behavior of the system is considered both in statics and dynamics cases. It is shown in the simple model describing the topological defects system in the elastic medium with non-zero shear modulus, most of ...
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