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DEGENERATE DISTRIBUTED CONTROL SYSTEMS WITH FRACTIONAL TIME DERIVATIVE

open access: yesUral Mathematical Journal, 2016
The existence of a unique strong solution for the Cauchy problem to semilinear nondegenerate fractional differential equation and for the generalized Showalter–Sidorov problem to semilinear fractional differential equation with degenerate operator at the
Marina V. Plekhanova
doaj   +1 more source

Specificity and Stability in Topology of Protein Networks [PDF]

open access: yesScience, 2002
Molecular networks guide the biochemistry of a living cell on multiple levels: Its metabolic and signaling pathways are shaped by the network of interacting proteins, whose production, in turn, is controlled by the genetic regulatory network.
S. Maslov, K. Sneppen
semanticscholar   +1 more source

Topological games and topological groups

open access: yesTopology and its Applications, 2001
In this article the authors show that a semitopological group \(G\) (multiplication is separately continuous) is a topological group if \(G\) is a strongly Baire space, a condition defined in terms of topological game theory. This generalizes the result of \textit{A. Bouziad} [Proc. Am. Math. Soc.
Petar S. Kenderov   +2 more
openaire   +2 more sources

Anatomy of skin modes and topology in non-Hermitian systems [PDF]

open access: yesPhysical review B, 2018
A non-Hermitian system can exhibit extensive sensitivity of its complex energy spectrum to the imposed boundary conditions, which is beyond any known phenomenon from Hermitian systems.
Ching Hua Lee, R. Thomale
semanticscholar   +1 more source

Nucleosomal DNA has topological memory

open access: yesNature Communications
One elusive aspect of the chromosome architecture is how it constrains the DNA topology. Nucleosomes stabilise negative DNA supercoils by restraining a DNA linking number difference (∆Lk) of about −1.26.
Joana Segura   +5 more
doaj   +1 more source

Non-Hermitian Boundary Modes and Topology. [PDF]

open access: yesPhysical Review Letters, 2019
We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary codimension. Through a universal formulation of formation criteria for boundary modes in terms of local Green's functions, we outline a generic ...
Dan S. Borgnia   +2 more
semanticscholar   +1 more source

Topological Acoustics [PDF]

open access: yesPhysical Review Letters, 2015
The manipulation of acoustic wave propagation in fluids has numerous applications, including some in everyday life. Acoustic technologies frequently develop in tandem with optics, using shared concepts such as waveguiding and metamedia. It is thus noteworthy that an entirely novel class of electromagnetic waves, known as topological edge states, has ...
Yang, Zhaoju   +6 more
openaire   +5 more sources

Symmetry-based indicators of band topology in the 230 space groups [PDF]

open access: yesNature Communications, 2017
The interplay between symmetry and topology leads to a rich variety of electronic topological phases, protecting states such as the topological insulators and Dirac semimetals.
H. Po, A. Vishwanath, Haruki Watanabe
semanticscholar   +1 more source

Topology, defects, and topological defects [PDF]

open access: yes, 2020
The purpose of this Thesis is to theoretically investigate the power of topology on various problems in condensed-matter physics, as well as their possible applications for biological systems. We start the discussions with the so-called Laughlin’s gauge argument, i.e. quantized topological adiabatic transport in the integer quantum Hall cylinder.
openaire   +2 more sources

RAINBOW VERTEX CONNECTION NUMBER OF BULL GRAPH, NET GRAPH, TRIANGULAR LADDER GRAPH, AND COMPOSITION GRAPH (P_n [P_1 ])

open access: yesBarekeng
The rainbow connection was first introduced by Chartrand in 2006 and then in 2009 Krivelevich and Yuster first time introduced the rainbow vertex connection. Let graph be a connected graph.
Muhammad Ilham Nurfaizi Annadhifi   +3 more
doaj   +1 more source

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