Results 21 to 30 of about 20,949 (310)
Fractal and Fractional, 2023 This work aims to address the P-bifurcation of a stochastic nonlinear system with fractional damping driven by Gaussian white noise. Based on a stochastic averaging method, a fractional damping stochastic nonlinear equation has been studied. Furthermore,
Yujie Tang +4 more
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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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Immersion extension-lift over a Morse function [PDF]
, 2011 Let V be a compact connected oriented surface with boundary and f:∂V×[0,1)→R a non-singular function such that f|∂V×{0} is a Morse function. Let ι:∂V×[0,1)→V be a collaring of ∂V and π:R2→R an orthogonal projection.
Yamamoto, Minoru, Minoru Yamamoto
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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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Morse numbers of function germs with isolated singularities [PDF]
, 2023 A set of Morse numbers is associated to a holomorphic function germ with stratified isolated singularity, extending the classical Milnor number to the setting of a singular base space.Comment: 9 ...
Mihai Tibăr +5 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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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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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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