A mass-deformation of three euclidean dimensional N = 1 SYM theory is carried out. The gluons of the theory are made massive using a nonlocal gauge and Poincare invariant mass term due to Nair, while fermion masses are introduced using standard gaussian terms. The underlying supersymmetry algebra is shown to be a non-central extension of the Poincare algebra by the spacetime rotation group so(3...

Let W be a finite Coxeter group, realized as a group generated by reflections in the /-dimensional Euclidean space V. Let s/ be the hyperplane arrangement in C* = F(g)RC consisting of the complexifications of the reflecting hyperplanes of W in V. The hyperplane complement M = Mw = C l — {JHejl/H has been studied by Arnold [1] in the case when W = Sh Brieskorn [3], Deligne [7] and Orlik and Solo...

Chaotic dynamics of a classical prey-predator-superpredator ecological model are considered. Although much is known about the behavior of the model numerically, very few results have been proven analytically. A new analytical result is obtained. It is demonstrated that there exists a subset on which a singular Poincare map generated by the model is conjugate to the shift map on two symbols. The...

The paper deals with evaluation of reliability of a human operator in the MMS (Man-MachineSystem). In terms of controls the driver is a very universal and effective controller. In contrast to an unnatural controller the driver fatigue (both mental and physical) is reflected and it is reduces driver control abilities. The paper describes analyzing of driver trajectory and driver ́s state monitori...

In this paper we construct the Poincare line bundle for stack of Higgs bundles on smooth projective curves and show that it induces a fully-faithful Fourier-Mukai transform category quasi-coherent sheaves.

We provide canonical forms for the homogeneous polynomials of degree five. Then we characterize all phase portraits in Poincare disk quartic polynomial differential systems. More precisely, there are exactly 23 different topological

In this research, dynamic analysis of the rotational slender axially moving string is investigated. String assumed as Euler Bernoulli beam. The axial motion of the string, gyroscopic force and mass eccentricity were considered in the study. Equations of motion are derived using Hamilton’s principle, resulting in two partial differential equations for the transverse motions. The equations are ch...

In a paper recently published in the Rendiconti del Circolo Matemático di Palermo (vol. 33, 1912, pp. 375-407) and entitled Sur un théorème de Géométrie, Poincaré enunciated a theorem of great importance, in particular for the restricted problem of three bodies; but, having only succeeded in treating a variety of special cases after long-continued efforts, he gave out the theorem for the consid...