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Variations on the Concept of Topological Transitivity [PDF]

open access: yesStudia Mathematica, 2016
We describe various strengthenings of the concept of topological transitivity. Especially when one departs from the family of invertible systems, a number of interesting properties arise.
E. Akin, J. Auslander, Anima Nagar
semanticscholar   +5 more sources

Topological transitivity

open access: yesScholarpedia, 2009
The concept of topological transitivity goes back to G. D. Birkhoff [1] (http://en.wikipedia.org/wiki/George_David_Birkhoff) who introduced it in 1920 (for flows).
S. Kolyada, L. Snoha
semanticscholar   +2 more sources

Parry's topological transitivity and f-expansions [PDF]

open access: yesProceedings of the American Mathematical Society, 2014
In his 1964 paper on f-expansions, Parry studied piecewise-continuous, piecewise-monotonic maps F of the interval [0,1), and introduced a notion of topological transitivity different from any of the modern definitions.
E. Robinson
semanticscholar   +5 more sources

Bumpless Topology Transition

open access: yesIEEE Transactions on Power Systems, 2023
The topology transition problem of transmission networks is becoming increasingly crucial with topological flexibility more widely leveraged to promote high renewable penetration. This paper proposes a novel methodology to address this problem. Aiming at achieving a bumpless topology transition regarding both static and dynamic performance, this ...
Tong Han, Yue Song, David J. Hill
openaire   +2 more sources

Optimal Topology Transition

open access: yesIEEE Transactions on Power Systems, 2022
Network topology has significant impacts on operational performance of power systems. While extensive research efforts have been devoted to optimization of network topology for improving various system performances, the problem of how to transition from the initial topology to the desired optimal topology requires study.
Tong Han, David J. Hill, Yue Song
openaire   +2 more sources

Topological Transitions in Metamaterials [PDF]

open access: yesScience, 2012
Manipulating Optical TopologyPhase transitions in solid-state systems are often associated with a drastic change in the properties of that system. For example, metal-to-insulator transition or magnetic-to-nonmagnetic states find wide application in memory storage technology.
Krishnamoorthy, Harish N.S.   +4 more
openaire   +4 more sources

Chromatin Topological Transitions [PDF]

open access: yesProgress of Theoretical Physics Supplement, 2011
(Received February 24, 2011)DNA transaction events occurring during a cell cycle (transcription, repair, replication)are always associated with severe topological constraints on the double helix. However, sincenuclear DNA is bound to various proteins (including histones) that control its accessibilityand 3D organization, these topological constraints ...
Lavelle, Christophe   +5 more
openaire   +2 more sources

Topological transition on the conformal manifold [PDF]

open access: yesPhysical Review Research, 2020
Despite great successes in the study of gapped phases, a comprehensive understanding of the gapless phases and their transitions is still under developments. In this paper, we study a general phenomenon in the space of (1+1)$d$ critical phases with fermionic degrees of freedom described by a continuous family of conformal field theories (CFT), a.k.a ...
Wenjie Ji, Shu-Heng Shao, Xiao-Gang Wen
openaire   +4 more sources

Topological persistence machine of phase transitions [PDF]

open access: yesPhysical Review E, 2021
12 pages, 8 ...
Quoc Hoan Tran   +2 more
openaire   +3 more sources

Topological quantum phase transitions in topological superconductors [PDF]

open access: yesEPL (Europhysics Letters), 2010
5 pages, no ...
DIAMANTINI, MARIA CRISTINA   +2 more
openaire   +3 more sources

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