Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space
Mathematical biosciences and engineering : MBE, 2007 We develop a theory for sensitivity with respect to parameters in a convex subset of a topological vector space of dynamical systems in a Banach space. Specific motivating examples for probability measure dependent differential, partial differential and ...
H. T. Banks, Sava Dediu, H.K. Nguyen
openalex +2 more sources
A countable dense homogeneous topological vector space is a Baire space [PDF]
Proceedings of the American Mathematical Society, 2020 We prove that every homogeneous countable dense homogeneous topological space containing a copy of the Cantor set is a Baire space. In particular, every countable dense homogeneous topological vector space is a Baire space.
T. Dobrowolski +2 more
semanticscholar +1 more source
On an equivalence of topological vector space valued cone metric spaces and metric spaces
Applied Mathematics Letters, 2011 Hüseyi̇n Çakallı +2 more
openalex +2 more sources
Topological transformation and free-space transport of photonic hopfions [PDF]
Advanced Photonics, 2022 Structured light fields embody strong spatial variations of polarisation, phase and amplitude. Understanding, characterization and exploitation of such fields can be achieved through their topological properties.
Yijie Shen +5 more
semanticscholar +1 more source
Geometric characterization of non-Hermitian topological systems through the singularity ring in pseudospin vector space [PDF]
Physical review B, 2019 This work unveils how geometric features of two-band non-Hermitian Hamiltonians can completely classify the topology of their eigenstates and energy manifolds.
Linhu Li, Ching Hua Lee, J. Gong
semanticscholar +1 more source
Role of Shift Vector in High-Harmonic Generation from Noncentrosymmetric Topological Insulators under Strong Laser Fields [PDF]
Physical Review X, 2021 As a promising avenue to obtain new extreme ultraviolet light source and detect electronic properties, high-harmonic generation (HHG) has been actively developed in both theory and experiment.
Chen Qian +8 more
semanticscholar +1 more source
Metrizability of Pseudo Topological Vector Spaces
, 2021 In the present work, we introduce the notion of pseudo-seminorm, then we established, a criterion for the metrizability of a pseudo vector space 𝛯 with a pseudo topology 𝜏. It is specified, that for the metrizability of 𝛯 is necessary and sufficient that
Intesar Harbi, Z. Al-Nafie
semanticscholar +1 more source
Observation of Polarization Singularities and Topological Textures in Sound Waves. [PDF]
Physical Review Letters, 2022 Polarization singularities and topological polarization structures are generic features of inhomogeneous vector wave fields of any nature. However, their experimental studies mostly remain restricted to optical waves.
Ruben D. Muelas-Hurtado +6 more
semanticscholar +1 more source
The Simplified Topological ε-Algorithms for Accelerating Sequences in a Vector Space
SIAM Journal on Scientific Computing, 2014 When a sequence of numbers is slowly converging, it can be transformed into a new sequence which, under some assumptions, converges faster to the same limit.
C. Brezinski, M. Redivo-Zaglia
semanticscholar +1 more source