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DEGENERATE DISTRIBUTED CONTROL SYSTEMS WITH FRACTIONAL TIME DERIVATIVE
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
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Specificity and Stability in Topology of Protein Networks [PDF]
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
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Topological games and topological groups
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
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Anatomy of skin modes and topology in non-Hermitian systems [PDF]
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
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Nucleosomal DNA has topological memory
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
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Non-Hermitian Boundary Modes and Topology. [PDF]
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
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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
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Symmetry-based indicators of band topology in the 230 space groups [PDF]
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
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Topology, defects, and topological defects [PDF]
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.
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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
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