Results 11 to 20 of about 5,574,136 (208)
Discrete Morse Functions and Watersheds
Journal of Mathematical Imaging and Vision, 2023 Abstract Any watershed, when defined on a stack on a normal pseudomanifold of dimension d, is a pure (d-1)-subcomplex that satisfies a drop-of-water principle. In this paper, we introduce Morse stacks, a class of functions that are equivalent to discrete Morse functions.
Bertrand, Gilles +2 more
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Umbilical Submanifolds and Morse Functions [PDF]
Nagoya Mathematical Journal, 1972 Let Mn be a differentiable manifold (of class C∞). By a Morse function on Mn we mean a differentiable function whose critical points are all non-degenerate. If f is an immersion of Mn into a Euclidean space Rm, we may obtain Morse functions on Mn in the following way.
Nomizu, Katsumi, Rodríguez, Lucio
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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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Approximation of electronic term of diatomic molecule by the Morse function. The role of anharmonicity [PDF]
, 2023 This article presents an extension of the report made at the 2nd International Symposium "Non-Covalent Interactions" 10/14/22 in Moscow. That report outlined the basic principles of modeling the potential function of diatomic molecules using the Morse ...
Gleb S., Denisov +3 more
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The computation of the index of a Morse function at a critical point
International Journal of Mathematics and Mathematical Sciences, 1988 A theoretical approach in computing the index of a Morse function at a critical point on a real non-singular hypersurface V is given. As a consequence the Euler characteristic of V is computed. In the case where the hypersurface is polynomial and compact,
Takis Sakkalis
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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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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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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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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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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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