Results 51 to 60 of about 134,349 (198)
Controllability of Brain Neural Networks in Learning Disorders—A Geometric Approach
Mathematics, 2022 The human brain can be interpreted mathematically as a linear dynamical system that shifts through various cognitive regions promoting more or less complicated behaviors. The dynamics of brain neural network play a considerable role in cognitive function
Maria Isabel García-Planas +1 more
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On eigenvalues and main eigenvalues of a graph [PDF]
Mathematica Moravica, 2000 Given the eigenvalues of a graph \(G\) on \(n\) vertices, for the \(i\)th eigenvalue of (a) the complement \(\overline G\) of \(G\), (b) the Seidel matrix of \(G\), and (c) a graph switching equivalent to \(G\), an interval containing this eigenvalue is determined. In addition, it is proved that the sum of all main eigenvalues of \(G\) (\(k\) in number)
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On graphs with just three distinct eigenvalues [PDF]
, 2016 Let G be a connected non-bipartite graph with exactly three distinct eigenvalues Rho, mu, lambda, where Rho >mu >lambda. In the case that G has just one non-main eigenvalue, we find necessary and sufficient spectral conditions on a vertex-deleted ...
Rowlinson, Peter
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The Subdominant Eigenvalue of Möbius Monotone Transition Probability Matrix
AxiomsWe establish a Perron–Frobenius-type theorem for the subdominant eigenvalue of Möbius monotone transition matrices defined on partially ordered state spaces.
Pei-Sen Li, Pan Zhao
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Demonstratio Mathematica, 1988 Let \(\lambda\) be an eigenvalue of a complex n by n matrix. Denote by m, \(m^*\) the multiplicity of \(\lambda\) as a root of the characteristic and minimal polynomial of the given matrix, respectively. Furthermore denote by \(\hat m\) the geometric multiplicity of \(\lambda\), i.e. the dimension of the corresponding eigenspace of \({\mathbb{C}}^ n\).
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Bifurcations and dynamical evolution of eigenvalues of Hamiltonian systems [PDF]
, 2013 The transient behavior of the eigenvalues of a state transition matrix in a Hamiltonian system is investigated. Mathematical tools are developed to derive the necessary and sufficient conditions for bifurcations of eigenvalues off and onto the unit ...
Hsiao, Fu-Yuen; Scheeres, D. J. +1 more
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Partial sum of eigenvalues of random graphs [PDF]
, 2020 summary:Let $G$ be a graph on $n$ vertices and let $\lambda _{1}\geq \lambda _{2}\geq \ldots \geq \lambda _{n}$ be the eigenvalues of its adjacency matrix.
Rocha, Israel
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Randi'c incidence energy of graphs [PDF]
Transactions on Combinatorics, 2014 Let $G$ be a simple graph with vertex set $V(G) = {v_1, v_2,ldots , v_n}$ and edge set $E(G) = {e_1, e_2,ldots , e_m}$. Similar to the Randi'c matrix, here we introduce the Randi'c incidence matrix of a graph $G$, denoted by $I_R(G)$, which is defined
Ran Gu, Fei Huang, Xueliang Li
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A recursive condition for the symmetric nonnegative inverse eigenvalue problem
Revista Integración, 2017 In this paper we present a sufficient ondition and a necessary condition for Symmetri Nonnegative Inverse Eigenvalue Problem. This condition is independent of the existing realizability criteria.
Elvis Ronald Valero +2 more
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Bounded Eigenvalues of Fully Clamped and Completely Free Rectangular Plates [PDF]
, 2007 Exact solution to the vibration of rectangular plates is available only for plates with two opposite edges subject to simply supported conditions. Otherwise, they are analysed by using approximate methods. There are several approximate methods to conduct
Mochida, Yusuke
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