Results 281 to 290 of about 14,137 (301)

Strong matching preclusion for two-dimensional torus networks

International Journal of Computer Mathematics, 2014
The torus network is one of the most popular interconnection networks for massively parallel computing systems. The strong matching preclusion number of a graph is the minimum number of vertices and edges whose deletion results in a graph that has neither perfect matchings nor almost perfect matchings.
Kai Feng, Shiying Wang
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Border-collision bifurcations on a two-dimensional torus

Chaos, Solitons & Fractals, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhusubaliyev, Zh. T., Soukhoterin, E. A., Mosekilde, E.   +2 more
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Coding of a translation of the two-dimensional torus

Monatshefte für Mathematik, 2008
A symbolic coding of the ergodically acting map \(T:x\to x+\alpha\), where \(\alpha\in {\mathbb T}^2\) (\({\mathbb T}^2={\mathbb R}^2 /{\mathbb Z}^2\) is the 2D-torus) is presented. It shares several properties with the Sturmian coding os a one-dimensional translation. Such obtained symbolic dynamical system is metrically isomorphic to \(({\mathbb T}^2,
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GEODESICS ON THE TWO-DIMENSIONAL TORUS WITH TWO ROTATION NUMBERS

Mathematics of the USSR-Izvestiya, 1989
Main theorem: Let R be a \(C^ 3\)-Riemannian metric on the 2-dimensional torus \(T^ 2\) such that there exist a Jordan curve \(\lambda \subset T^ 2\) bounding a simply-connected domain W and a point \(0\in W\) wuch that \(R(0,\lambda)>(length_ R \lambda)/2\).
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Stability of two-dimensional mesh and torus graph

2004
The vulnerability value of a communication network shows the resistance of the network after the disruption of some centres or connection lines until the communication breakdown. In a network, as the number of centres belonging to sub networks changes, the vulnerability of the network also changes and requires greater degrees of stability or less ...
Dündar, Pınar, Aytaç, Aysun
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Peculiarities of synchronization of a resonant limit cycle on a two-dimensional torus

Physical Review E, 2007
The peculiarities of external synchronization of a resonant limit cycle on a torus are studied in an autonomous oscillator of quasiperiodic oscillations with two basic frequencies. We show numerically and experimentally that in the resonance conditions the synchronization effect takes place only at one of the two basic frequencies of the system, while ...
V, Anishchenko, S, Nikolaev, J, Kurths
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A Local Algorithm for Constructing Derived Tilings of the Two-Dimensional Torus

Journal of Mathematical Sciences, 2020
Starting from a tiling of the torus \(\mathbb{T}^2= \mathbb{R}^2/\mathbb{Z}^2\) by three parallelograms and a sequence \(\xi=\{\xi_1, \xi_2,\ldots\}\) of exchange rules, the author defines a sequence of tilings \(\mathcal{T}^{[\xi]_n}\) of \(\mathbb{T}^2\), \(n=1,2,\ldots\), each consisting of finitely many translates of three parallelograms. The local
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On the existence and stability of a two-dimensional relaxational torus

Mathematical Notes, 1994
The theory of relaxational oscillations for systems of ordinary differential equations with a small parameter at some derivatives has been currently developed sufficiently well to consider different applications. In particular, in the case of three-dimensional systems with one slow variable, the problem stated in the title of this paper was solved by ...
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Performance Analysis of Wormhole Switching with Adaptive Routing in a Two-Dimensional Torus

1999
This paper presents an analytical evaluation of the performance of wormhole switching with adaptive routing in a two-dimensional torus. Our analysis focuses on minimal and fully adaptive routing that allows a message to use any shortest path between source and destination.
COLAJANNI M., CICIANI, Bruno, QUAGLIA, Francesco   +2 more
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Force-free fields in a three dimensional plasma torus

Astrophysics and Space Science, 1982
Evangelidis E A
exaly