Results 21 to 30 of about 4,252 (168)
A Hodge Theory-Driven Quantum Mapping Between Calabi-Yau Manifolds and Nuclear Topology: First-Principles Derivation and Experimental Verification [PDF]
Physics AccessThis study adopts Hodge theory as a rigorous mathematical framework to construct a quantitative mapping system between the high-dimensional topological invariants of CalabiYau (CY) manifolds and nuclear physics parameters, thereby establishing a strict ...
Yang Ou, Wenming Sun
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Monodromy of an Inhomogeneous Picard-Fuchs Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The global behaviour of the normal function associated with van Geemen's family of lines on the mirror quintic is studied. Based on the associated inhomogeneous Picard-Fuchs equation, the series expansions around large complex structure, conifold, and ...
Guillaume Laporte, Johannes Walcher
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Explicit limit cycles of a class of Kolmogorov system
Universal Journal of Mathematics and Applications, 2018 A class of Kolmogorov differential system is introduced. It is shown that under suitable assumptions on degrees and parameters, algebraic limit cycles can occur. we propose an easy algorithm to test the existence of limit cycles and we give them explicit
Salah Benyoucef, Ahmed Bendjeddou
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Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop
Discrete Dynamics in Nature and Society, 2021 In the presented paper, the Abelian integral Ih of a Liénard system is investigated, with a heteroclinic loop passing through a nilpotent saddle. By using a new algebraic criterion, we try to find the least upper bound of the number of limit cycles ...
Junning Cai, Minzhi Wei, Guoping Pang
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Analytic residues along algebraic cycles
Journal of Complexity, 2005 We present a restricted version of some affine Jacobi's residue formula (on an affine algebraic variety) with applications to higher dimensional (and affine) analogues of Wood's (or Reiss's) relations about the interpolation of pieces of analytic manifolds.
Berenstein, Carlos A. +5 more
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On the Chow ring of certain Fano fourfolds
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2020 We prove that certain Fano fourfolds of K3 type constructed by Fatighenti–Mongardi have a multiplicative Chow–Künneth decomposition. We present some consequences for the Chow ring of these fourfolds.
Robert Laterveer
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A class of nonlinear oscillators with non-autonomous first integrals and algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a class of autonomous nonlinear oscillators with non-autonomous first integral. We prove explicitly the existence of a global sink which is, under some conditions, an algebraic limit cycle.
Meryem Belattar +3 more
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Journal of Pure and Applied Algebra, 1995 Let \(A\) be a finite dimensional algebra over an algebraically closed field, and \(\text{mod }A\) denote the category of its finitely generated right modules. Then \(A\) is said to be cycle-finite if, for every sequence \(M_0 @>f_1>> M_1 @>f_2>> M_2\to\dots @>f_n>> M_n=M_0\) of non-zero non-isomorphisms between indecomposable objects in \(\text{mod }A\
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Hybrid V-Cycle Algebraic Multilevel Preconditioners [PDF]
Mathematics of Computation, 1992 The paper describes a new algebraically defined multilevel preconditioner for the finite element matrix arising from the discretization of a second-order selfadjoint elliptic boundary value problem. The construction of the preconditioner is based on a sequence of grids (levels) given by successive refinement and the corresponding hierarchical two-by ...
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On minimum algebraic connectivity of graphs whose complements are bicyclic
Open Mathematics, 2019 The second smallest eigenvalue of the Laplacian matrix of a graph (network) is called its algebraic connectivity which is used to diagnose Alzheimer’s disease, distinguish the group differences, measure the robustness, construct multiplex model ...
Liu Jia-Bao +3 more
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