The physical nature of the initial transition to three-dimensionality of #ow past a circular cylinder has been the subject of considerable debate in the literature. Of several proposed mechanisms, the possibility of classi"cation as an elliptical instability is re-examined in this article. Detailed Floquet analysis of the transition shows clear evidence of the growth of an elliptic instability ...

The general problem of determining the electrodynamic characteristics a circular loop antenna located coaxially on surface metamaterial cylinder is studied using integral equation method. has form perfectly conducting, infinitesimally thin, narrow strip coiled into ring and excited by given time-harmonic voltage. assumed to be filled with uniaxial surrounded an isotropic magnetodielectric. Inte...

in this paper, we prove that every metric line in the poincare ball model of hyperbolic geometry is exactly a classical line of itself. we also proved nonexistence of periodic lines in the poincare ball model of hyperbolic geometry.

In this paper we study existence of Normally Hyperbolic Invariant Laminations (NHIL) for a nearly integrable system given by the product of the pendulum and the rotator perturbed with a small coupling between the two. This example was introduced by Arnold [1]. Using a separatrix map, introduced in a low dimensional case by Zaslavskii-Filonenko [61] and studied in a multidimensional case by Tres...

In a classical work of the 1950’s, Lee and Yang proved that the zeros of the partition functions of a ferromagnetic Ising model always lie on the unit circle. Distribution of these zeros is physically important as it controls phase transitions in the model. We study this distribution for the MigdalKadanoff Diamond Hierarchical Lattice (DHL). In this case, it can be described in terms of the dyn...

An example is given of an area-preserving monotone twist map such that a uniformly hyperbolic structure exists on the closure of its Birkhoff maximizing orbits. This note provides a rigorous example of an area preserving monotone twist map / with the property that Df\ s has a uniformly hyperbolic structure, where B denotes the closure of the Birkhoff maximizing orbits. As shown by Mather [8] an...

This paper studies conformal biharmonic immersions. We first study the transformations of Jacobi operator and the bitension field under conformal change of metrics. We then obtain an invariant equation for a conformal biharmonic immersion of a surface into Euclidean 3-space. As applications, we construct a 2-parameter family of non-minimal conformal biharmonic immersions of cylinder into R and ...

We investigate the inverse problem associated with the heat equation involving recovery of initial temperature distribution in a two-layer cylinder with perfect thermal contact at the interface. The heat equation is solved backward in time to obtain a relationship between the final temperature distribution and the initial temperature profile. An integral representation for the problem is found,...