Results 281 to 290 of about 7,475,610 (328)

Finding the Axis of Revolution of an Algebraic Surface of Revolution

IEEE Transactions on Visualization and Computer Graphics, 2016
We present an algorithm for extracting the axis of revolution from the implicit equation of an algebraic surface of revolution based on three distinct computational methods: factoring the highest order form into quadrics, contracting the tensor of the ...
J. G. Alcázar, R. Goldman
semanticscholar   +1 more source

Dynamics of the Lü System on the Invariant Algebraic Surface and at infinity

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2011
Firstly, the dynamics of the Lu system having an invariant algebraic surface are analyzed. Secondly, by using the Poincare compactification in ℝ3, a global analysis of the system is presented, including the complete description of its dynamic behavior on
Yongjian Liu, Qigui Yang
semanticscholar   +1 more source

The Theorem of Riemann-Roch for High Multiples of an Effective Divisor on an Algebraic Surface

, 1962
Part I. The problem and its background ? 1. Formulation of the problem ? 2. A ring-theoretic aspect of the problem ? 3. Connection with the generalized 14th problem of Hilbert Part II. Preliminary results on linear systems free from base points ? 4.
O. Zariski
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The topological structure of the Rabinovich system having an invariant algebraic surface

, 2008
In this paper, we characterize the topological structure of orbits of the Rabinovich system and having an invariant algebraic surface.
Cheng Chen, Jinlong Cao, Xiang Zhang
semanticscholar   +1 more source

On the motive of an algebraic surface.

, 1990
0.1. The theory of motives has been created by Grothendieck in order to understand better — among other things — the underlying "objects" of the cohomology groups and to explain their common properties in the various theories. For instance if the Künneth
J. Murre
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The Chen System Having an Invariant Algebraic Surface

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2008
In this paper, we characterize the dynamics of the Chen system ẋ = a(y - x), ẏ = (c - a)x - xz + cy, z = xy - bz which has an invariant algebraic surface.
Jinlong Cao, Cheng Chen, Xiang Zhang
semanticscholar   +1 more source

Reduction of the Singularities of an Algebraic Surface

, 1935
Introduction. The reduction of the singularities of an algebraic surface has been carried out by B. Levi, Chisini, and Albanese.' These reductions are all of an essentially geometric nature, the first two using Cremona transformations of S3 while the ...
R. J. Walker
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Dynamics of the Lorenz system having an invariant algebraic surface

, 2007
In this paper, we characterize all dynamics of the Lorenz system x=s(y−x), y=rx−xz−y, z=xy−bz having an invariant algebraic surface.
Jinlong Cao, Xiang Zhang
semanticscholar   +1 more source

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