scholarly journals Large N bilocals at the infrared fixed point of the three dimensional O(N) invariant vector theory with a quartic interaction

2018 ◽  
Vol 2018 (11) ◽  
Author(s):  
Mbavhalelo Mulokwe ◽  
João P. Rodrigues
Keyword(s):  
Fixed Point ◽  
Three Dimensional ◽  
Invariant Vector ◽  
Large N ◽  
Quartic Interaction ◽  
Vector Theory

scholarly journals A CANDIDATE FOR EXACT CONTINUUM DUAL THEORY FOR SCALAR QED3

1993 ◽  
Vol 08 (14) ◽  
pp. 1343-1355 ◽  
Author(s):  
A. KOVNER ◽  
P. KURZEPA ◽  
B. ROSENSTEIN
Keyword(s):  
Fixed Point ◽  
Higgs Model ◽  
Magnetic Vortex ◽  
Dual Theory ◽  
Scalar Theory ◽  
Massive Vector ◽  
Vortex Model ◽  
Current Interaction ◽  
Vector Theory ◽  
A Current

We discuss a possible exact equivalence of the Abelian Higgs model and a scalar theory of a magnetic vortex field in 2 + 1 dimensions. The vortex model has a current-current interaction and can be viewed as a strong coupling limit of a massive vector theory. The fixed point structure of the theory is discussed and mapped into fixed points of the Higgs model.

scholarly journals On the Measure-Preserving Mappings with Three-Dimensions

1993 ◽  
Vol 132 ◽  
pp. 73-89
Author(s):  
Yi-Sui Sun
Keyword(s):  
Fixed Point ◽  
Invariant Manifolds ◽  
Three Dimensional ◽  
Invariant Curve ◽  
Three Dimensions ◽  
Two Dimensional ◽  
Kolmogorov Entropy ◽  
Numerical Exploration ◽  
Area Preserving ◽  
Dimensional Mapping

AbstractWe have systematically made the numerical exploration about the perturbation extension of area-preserving mappings to three-dimensional ones, in which the fixed points of area preserving are elliptic, parabolic or hyperbolic respectively. It has been observed that: (i) the invariant manifolds in the vicinity of the fixed point generally don’t exist (ii) when the invariant curve of original two-dimensional mapping exists the invariant tubes do also in the neighbourhood of the invariant curve (iii) for the perturbation extension of area-preserving mapping the invariant manifolds can only be generated in the subset of the invariant manifolds of original two-dimensional mapping, (iv) for the perturbation extension of area preserving mappings with hyperbolic or parabolic fixed point the ordered region near and far from the invariant curve will be destroyed by perturbation more easily than the other one, This is a result different from the case with the elliptic fixed point. In the latter the ordered region near invariant curve is solid. Some of the results have been demonstrated exactly.Finally we have discussed the Kolmogorov Entropy of the mappings and studied some applications.

Transmission Performance of the Mechanical Control System in the Aircraft

2014 ◽  
Vol 484-485 ◽  
pp. 368-372 ◽  
Author(s):  
Wei Na Huang ◽  
Jian Ming Zhang ◽  
Xiao Bo Liu
Keyword(s):  
Fixed Point ◽  
Control System ◽  
Mechanical System ◽  
Three Dimensional ◽  
System Optimization ◽  
Computational Method ◽  
Transmission Parameter ◽  
Mapping Software ◽  
Three Dimensional Mapping ◽  
Limit Position

This article introduces two ways of calculating the transmission parameter of the mechanical system in the aircraft based on the traditional computational method. One is the method of fixed point coordinate which is based on spatial Analytic Geometry and spatial coordinate transformation can calculate the motion parameter of various links, the effective radius of the limit position rocker as well as the transmission ratio by fixed point coordinate. The other method can establish the model of control system by using the MDT module of the three-dimensional mapping software CATLA. It also can realize analog computation and system optimization which points at the transmission parameter of the mechanical system by using DMU module.

NESTED INVARIANT 3-TORI EMBEDDED IN A SEA OF CHAOS IN A QUASIPERIODIC FLUID FLOW

2009 ◽  
Vol 19 (07) ◽  
pp. 2181-2191 ◽  
Author(s):  
HOPE L. WEISS ◽  
ANDREW J. SZERI
Keyword(s):  
Fixed Point ◽  
Fluid Flow ◽  
Cross Sections ◽  
Coherent Structures ◽  
Three Dimensional ◽  
Elliptic Type ◽  
Two Phase ◽  
Dimensional Phase Space ◽  
Hyperbolic Fixed Point ◽  
Stream Functions

Nested invariant 3-tori surrounding a torus braid of elliptic type are found to exist in a model of a fluid flow with quasiperiodic forcing. The Hamiltonian describing the system is given by the superposition of two steady stream functions, one with an elliptic fixed point and the other with a coincident hyperbolic fixed point. The superposition, modulated by two incommensurate frequencies, yields an elliptic torus braid at the location of the fixed point. The system is suspended in a four-dimensional phase space (two space and two phase directions). To analyze this system we define two three-dimensional, global, Poincaré sections of the flow. The coherent structures (cross-sections of nested 2 tori) are found each to have a fractal dimensional of two, in each Poincaré cross-section. This framework has applications to tidal and other mixing problems of geophysical interest.

scholarly journals The Algorithm for Determining the Coordinates of a Point in Three-Dimensional Space by Using the Auxiliary Point

2013 ◽  
Vol 48 (4) ◽  
pp. 141-145 ◽  
Author(s):  
Bartlomiej Oszczak ◽  
Eliza Sitnik
Keyword(s):  
Fixed Point ◽  
Precise Measurement ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Satellite Navigation ◽  
Reference Points ◽  
Two Dimensional ◽  
Approximate Location ◽  
The Many ◽  
Three Dimensional Space

ABSTRACT During the process of satellite navigation, and also in the many tasks of classical positioning, we need to calculate the corrections to the initial (or approximate) location of the point using precise measurement of distances to the permanent points of reference (reference points). In this paper the authors have provided a way of developing Hausbrandt's equations, on the basis of which the exact coordinates of the point in two-dimensional space can be determined by using the computed correction to the coordinates of the auxiliary point. The authors developed generalised equations for threedimensional space introducing additional fixed point and have presented proof of derived formulas.

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