Results 31 to 40 of about 205,497 (296)
Research on P System with Chain Structure and Application and Simulation in Arithmetic Operation
Discrete Dynamics in Nature and Society, 2015 Considering the advantages of distribution and maximum parallelism of membrane computing and availability of discrete Morse theory to deal with discrete structure, in this paper, combining discrete Morse theory and membrane computing, a novel membrane ...
Jing Luan, Zhong Yao
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Multiple Solutions for Biharmonic Equations with Asymptotically Linear Nonlinearities
Boundary Value Problems, 2010 The existence of multiple solutions for a class of fourth elliptic equation with respect to the resonance and nonresonance conditions is established by using the minimax method and Morse theory.
Ruichang Pei
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Existence and Multiplicity of Solutions for Discrete Nonlinear Two-Point Boundary Value Problems
Discrete Dynamics in Nature and Society, 2011 By using Morse theory, the critical point theory, and the character of πΎ1/2, we consider the existence and multiplicity results of solutions to the following discrete nonlinear two-point boundary value problem βΞ2π₯(πβ1)=π(π,π₯(π)),πββ€(1,π) subject to π₯(0)=
Jianmin Guo, Caixia Guo
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The Morse Lemma in Infinite Dimensions via Singularity Theory [PDF]
, 1983 An infinite dimensional Morse lemma is proved using the deformation lemma from singularity theory. It is shown that the versions of the Morse lemmas due to Palais and Tromba are special cases. An infinite dimensional splitting lemma is proved.
Golubitsky, Martin, Marsden, Jerrold
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Bulk modulus for Morse potential interaction with the distribution function based
Chemical Thermodynamics and Thermal Analysis, 2022 The bulk modulus is a significant coefficient for the study of the compressible behaviour of the materials in the bulk case. The bulk moduli can be determined via the experimental method by measuring of the elastic parameters, via the semi-empirical ...
Marwan Al-Raeei
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Existence and multiplicity of nontrivial solutions to discrete elliptic Dirichlet problems
Electronic Research Archive, 2022 In this paper, we study discrete elliptic Dirichlet problems. Applying a variational technique together with Morse theory, we establish several results on the existence and multiplicity of nontrivial solutions.
Yuhua Long, Huan Zhang
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International Journal of Mathematics and Mathematical Sciences, 1990 A simple proof of a theorem of H. Hopf [1], via Morse theory, is given.
Takis Sakkalis
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Higgs bundles for M-theory on G 2-manifolds
Journal of High Energy Physics, 2019 M-theory compactified on G 2-holonomy manifolds results in 4d N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories coupled to gravity. In this paper we focus on the gauge sector of such compactifications by studying the Higgs bundle obtained from a ...
Andreas P. Braun +3 more
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Discrete Morse functions for graph configuration spaces
, 2012 We present an alternative application of discrete Morse theory for two-particle graph configuration spaces. In contrast to previous constructions, which are based on discrete Morse vector fields, our approach is through Morse functions, which have a nice
A Sawicki +10 more
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Discrete Morse theory and localization [PDF]
Journal of Pure and Applied Algebra, 2019 30 pages, 6 figures.
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