Results 21 to 30 of about 20,941 (309)
The nudged elastic band method for effective natural image patches analysis
AIP Advances, 2020 We used sampled data from a well-established database of natural images to construct a density estimator, which is designed to act as a Morse function.
Kewen Cha, Shuang Wang, Shengxiang Xia
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Fiber of persistent homology on morse functions
Journal of Applied and Computational Topology, 2022 AbstractLet f be a Morse function on a smooth compact manifold $$M$$ M with boundary. The path component $$\mathrm {PH}^{-1}_f(D)$$ PH f -
Leygonie, J, Beers, D
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Introdução à teoria de Morse e homologia de Morse
, 2021 In this work we present a study of Morse theory with the aim of introducing the Morse homology theorem as its natural extension. For this we prove the classic Morse theorem, which states that a Morse function defined on a manifold determines its topology
Leal, Julian David Espinel
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Witten-Morse functions and Morse inequalities on digraphs
, 2021 In this paper, we prove that discrete Morse functions on digraphs are flat Witten-Morse functions and Witten complexes of transitive digraphs approach to Morse complexes. We construct a chain complex consisting of the formal linear combinations of paths which are not only critical paths of the transitive closure but also allowed elementary paths of the
Lin, Yong, Wang, Chong
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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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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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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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