Stability analysis of spatially discretized approximations to invariant circle solutions to a noninvertible map is shown to produce seemingly spurious eigenvalues, found to exist for all truncation numbers. Numerical analysis of the spectral Galerkin projection procedure used to compute the solutions and the eigenvalues of the linearization shows that the set of discrete eigenvalues converges i...

We compare two distinct models of evaporative cooling of a magnetically guided atomic beam: a continuous one, consisting in approximating the atomic distribution function by a truncated equilibrium distribution, and a discrete-step one, in which the evaporation process is described in terms of successive steps consisting in a truncation of the distribution followed by rethermalization. Calculat...

We study the normal forms for incompressible flows and maps in the neighborhood of an equilibrium or fixed point with a triple eigenvalue. We prove that when a divergence free vector field in R has nilpotent linearization with maximal Jordan block then, to arbitrary degree, coordinates can be chosen so that the nonlinear terms occur as a single function of two variables in the third component. ...

We present results on the QCD phase diagram for small densities without reweighting. Our simulations are performed with an imaginary chemical potential µI for which the fermion determinant is positive. On an 8 3 × 4 lattice with 2 flavors of staggered quarks, we map out the pseudo-critical temperature Tc(µI). For µI /T ≤ π/3, this is an analytic function whose Taylor expansion converges rapidly...

In this paper we describe the defining equations of the Rees algebra and the special fiber ring of a truncation I of a complete intersection ideal in a polynomial ring over a field with homogeneous maximal ideal m. To describe explicitly the Rees algebra R(I) in terms of generators and relations we map another Rees ring R(M) onto it, where M is the direct sum of powers of m. We compute a Gröbne...

The purpose of this paper design makes use of integration of PLC controller and speech via a touch screen for personalized balls adjustment of sports equipments. The athletes may adjust their requirement according to their physical condition. The system applies speech recognition Onto Ping-Pong pitching machine and controls the users’ command of speedy, slow, left or right. The athletes can pra...

In this paper, the convergence behavior of linear parallel interference cancellation is investigated. Especially the so-called ping-pong effect, where the bit-error rate performance is found to oscillate between two different convergence patterns is studied in detail. This effect is shown to be a direct consequence of the extreme eigenvalues of the correlation matrix, allowing for an analytical...

Cystinosin is predicted to comprise seven transmembrane domains but its actual topology remains unknown. As a first step to address this issue, we used a classical gene fusion approach in which a topology reporter is fused to various truncated fragments of the membrane protein of interest in order to map the topological orientation of a set of truncation sites along the polypeptide (see Manoil ...

A five-mode truncation of the Navier-Stokes equations for a two-dimensional incompressible fluid on a torus is studied. Its stationary solutions and stability are presented; the existence of attractor and the global stability of the system are discussed. The whole process, which shows a chaos behavior approached through an involved sequence of bifurcations with the changing of Reynolds number, ...

A new color image compression technique based on moment-preserving and block truncation coding is proposed. An input image is divided into nonoverlapping blocks and each block pixel is assigned one of two representative colors, which are computed with analytic formulas derived from preserving certain moments in the block. A bit map is then generated for each block to represent the pixels’ color...