Results 21 to 30 of about 5,220,923 (307)
Computing Persistent Homology by Spanning Trees and Critical Simplices
Research, 2023 Topological data analysis can extract effective information from higher-dimensional data. Its mathematical basis is persistent homology. The persistent homology can calculate topological features at different spatiotemporal scales of the dataset, that is,
Dinghua Shi +3 more
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Topology of optimal flows with collective dynamics on closed orientable surfaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 We consider flows on a closed surface with one or more heteroclinic cycles that divide the surface into two regions. One of the region has gradient dynamics, like Morse fields.
Alexandr Olegovich Prishlyak +1 more
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Jurnal Ilmiah Pendidikan Fisika Al-Biruni, 2023 This paper studies the thermodynamic and magnetic properties of some diatomic molecules governed by Scarf and Morse non-central potentials under external magnetic and electric fields.
Cari Cari +2 more
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Derivation of Morse Potential Function [PDF]
, 2023 The Morse potential is widely used in chemistry to describe interatomic interactions. However, there is no explicit derivation for this empirical potential from physically meaningful atomic quan- tities.
Sergey, Varganov, Amir, Mirzanejad
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A Remark on the Heat Equation and Minimal Morse Functions on Tori and Spheres
Ingeniería y Ciencia, 2013 Let (M, g) be a compact, connected riemannian manifold that is homogeneous, i.e. each pair of points p, q ∈ M have isometric neighborhoods. This paper is a first step towards an understanding of the extent to which it is true that for each "generic ...
Carlos Cadavid +1 more
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Open Physics, 2023 The problem of optimization of interatomic potentials is formulated and solved by means of generalization of the Morse, Kaxiras–Pandey, and Rydberg potentials. The interatomic potentials are treated as solutions of some second-order ordinary differential
Surulere Samuel +2 more
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Condensed Matter, 2023 In this study, we investigated, for the first time, the effects of the spatially varying effective mass, asymmetry parameter, and well width on the electronic and optical properties of a quantum well which has an improved Rosen–Morse potential ...
Esin Kasapoglu +2 more
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Morse and Melnikov functions for NLS Pde's [PDF]
Communications in Mathematical Physics, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Y., McLaughlin, David W.
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Complexes of discrete Morse functions
Discrete Mathematics, 2005 The authors define the simplicial complex \(M(\Delta)\) of all \textit{discrete Morse functions} (in the sense of Forman's discrete Morse theory for cell complexes [\textit{R. Forman}, Adv. Math.134, No. 1, 90--145 (1998; Zbl 0896.57023)] of a fixed simplicial complex~\(\Delta\), and study the special cases where \(\Delta\)~is a graph, respectively a ...
Manoj K. Chari, Michael Joswig
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ON GENERALIZED THUE–MORSE FUNCTIONS AND THEIR VALUES [PDF]
Journal of the Australian Mathematical Society, 2019 In this paper we extend and generalize, up to a natural bound of the method, our previous work Badziahin and Zorin [‘Thue–Morse constant is not badly approximable’, Int. Math. Res. Not. IMRN 19 (2015), 9618–9637] where we proved, among other things, that the Thue–Morse constant is not badly approximable.
DZMITRY BADZIAHIN, EVGENIY ZORIN
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