Results 31 to 40 of about 279 (111)
Topology, 1999 The ``Fundamental Theorem'' of stratified Morse theory [\textit{M. Goresky} and \textit{R. MacPherson}, `Stratified Morse theory', Springer Berlin (1988; Zbl 0639.14012)] characterizes the transition between different levels of the Morse function in terms of tangential and normal Morse data.
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A Neophyte's Journey through Qualitative Analysis Using Morse's Cognitive Processes of Analysis
International Journal of Qualitative Methods, 2008 : In the early stages of her master's thesis the author became increasingly concerned about how she would analyze the data for her planned critical interpretive study. She felt that she needed clear direction about the process of qualitative analysis but
Rachel Walker RN, BA, BN, MN +2 more
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Complete solution of the Marchenko equation for a simple model system; pp. 267–283 [PDF]
Proceedings of the Estonian Academy of Sciences, 2016 An example of full solution of the inverse scattering problem on the half line (from 0 to â) is presented. For this purpose, a simple analytically solvable model system (Morse potential) is used, which is expected to be a reasonable approximation to a ...
Matti Selg
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Nontrivial periodic solutions to delay difference equations via Morse theory
Open Mathematics, 2018 In this paper some sufficient conditions are obtained to guarantee the existence of nontrivial 4T + 2 periodic solutions of asymptotically linear delay difference equations. The approach used is based on Morse theory.
Long Yuhua, Shi Haiping, Deng Xiaoqing
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Discrete microlocal Morse theory
Journal of Pure and Applied AlgebraWe establish several results combining discrete Morse theory and microlocal sheaf theory in the setting of finite posets and simplicial complexes. Our primary tool is a computationally tractable description of the bounded derived category of sheaves on a poset with the Alexandrov topology. We prove that each bounded complex of sheaves on a finite poset
Adam Brown, Ondřej Draganov
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Existence of acyclic matching and Morse complex on transitive digraphs
AKCE International Journal of Graphs and CombinatoricsFor any digraph, there exists a transitive closure. The transitive digraph is a discrete geometric object which has a close relationship with simplicial complex.
Chong Wang, Shiquan Ren
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Hamiltonian Monodromy and Morse Theory [PDF]
Communications in Mathematical Physics, 2019 Abstract We show that Hamiltonian monodromy of an integrable two degrees of freedom system with a global circle action can be computed by applying Morse theory to the Hamiltonian of the system. Our proof is based on Takens’s index theorem, which specifies how the energy-h Chern number changes when h passes a non-degenerate critical value, and a choice ...
N. Martynchuk +2 more
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Multiplicity results for a class of fractional differential equations with impulse
Advances in Difference Equations, 2018 In this paper, we apply Morse theory, local linking arguments and the Clark theorem to a study of the multiplicity of nontrivial solutions for a class of impulsive fractional differential equations with Dirichlet boundary conditions.
Yulin Zhao, Xiaoyan Shi, Haibo Chen
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مجلة التربية والعلم, 2019 In this research, Morse code was introduced in a new type, which we called the hybrid to be appropriate between the code itself and the theory of fragmentation, which could later be used as a type of encryption in messages between two or more parties.
Ammar Mahmoud, Rawia Bakr
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Multiparameter discrete Morse theory
Journal of Applied and Computational TopologyThe main objective of this paper is to extend Morse-Forman theory to vector-valued functions. This is mostly motivated by the need to develop new tools and methods to compute multiparameter persistence. To generalize the theory, in addition to adapting the main definitions and results of Forman to this vectorial setting, we use concepts of ...
Guillaume Brouillette +2 more
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