In this paper, the classic coupled Magneto-thermo-elasticity model of hollow and solid cylinders under radial-symmetric loading condition (r, t) is considered. A full analytical and the direct method based on Fourier Hankel series and Laplace transform is used, and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body fo...

The Lie derivation of multivector fields along multivector fields has been introduced by Schouten (see cite{Sc, S}), and studdied for example in cite{M} and cite{I}. In the present paper we define the Lie derivation of differential forms along multivector fields, and we extend this concept to covariant derivation on tangent bundles and vector bundles, and find natural relations between them and...

In this paper we study normal forms for a class of germs of 1-resonant vector fields on R with mutually different eigenvalues which may admit extraneous resonant relations. We give an estimation on the index of finite determinacy from above as well as the essentially simplified polynomial normal forms for such vector fields. In the case that a vector field has a zero eigenvalue, the result lead...

In this paper we study normal forms for a class of germs of 1-resonant vector fields on R n with mutually different eigenvalues which may admit extraneous resonance relations. We give an estimation on the index of finite determinacy from above as well as the essentially simplified polynomial normal forms for such vector fields. In the case that a vector field has a zero eigenvalue, the result l...

We give a detailed analysis of pairs of vector and hypermultiplet theories with N = 2 supersymmetry in four spacetime dimensions that are related by the (classical) mirror map. The symplectic reparametrizations of the special Kähler space associated with the vector multiplets induce corresponding transformations on the hypermultiplets. We construct the Sp(1)×Sp(n) one-forms in terms of which th...

We prove that the study of Rimmer bifurcation of symmetric fixed points in two–dimensional discrete reversible dynamical systems can be achieved analysing either bifurcation of critical points of a symmetric Hamiltonian function or the bifurcation of symmetric equilibrium points for a nonconservative reversible vector field. We give the normal forms for generating functions of area preserving r...

In this article, we will discuss the smooth (XM+ √ −1YM )-invariant forms on M and to establish a localization formulas. As an application, we get a localization formulas for characteristic numbers. The localization theorem for equivariant differential forms was obtained by Berline and Vergne(see [2]). They discuss on the zero points of a Killing vector field. Now, We will discuss on the points...

Several game forms are given for implementing general social choice correspondences (SCC,' s) which satisfy Haskin' s conditions of monotonicity and No Veto Power. The game forms have smaller strategy spaces than those used in previously discovered mechanisms: the strategy for an individual consists of an alternative, two subsets (of alternatives), and a player number. For certain types of econ...

Combination of forms of W 0 3 , Periodic Bond Chain (PBC) Vector Method, Crystallographic Shear (CS) Structures By using the Periodic Bond Chain Vector method a newly prepared combination of forms of highly stoichiometric W 0 3 is discussed. Through the consideration of the features of the structure it can be explained, why the observed faces are built. From characteristics of the structure an ...