This paper is concerned with the bifurcation from infinity of nonlinear Schrödinger equation ??u+V(x)u=?u+f(x,u),x?RN. We treat this problem in framework dynamical systems by considering corresponding parabolic on unbounded domains. Firstly, we establish a global invariant manifold for RN. Then, restrict to manifold, which generates system finite dimension. Finally, use Conley index theory and ...

We analyse different sequential algorithms for the recovery of object shape from a single shading pattern generated under the assumption of a linear reflectance map. The algorithms are based on the finite difference approximation of the derivatives. They operate on a rectangular discrete image (or part of it) and use the height of the sought-after surface along a curve in the image (image bound...

The shape phase structure and its transition of the nucleus in the transitional region between the U(5) and SU(3) symmetries is restudied within the framework of coherent-state theory with angular momentum projection in IBM-1. A phase diagram in terms of the deformation parameter and angular momentum is given. The certain angular momentum (or rotation-driven ) effect on the nuclear shape is dis...

Shape analysis is a static analysis of the source code of a program to determine shapes and manipulations of the dynamically allocated data structures at each point which that program can reach in an execution. In this report, we give a detailed presentation and soundness proof of a shape analysis method which uses separation logic to represent program memory. A Local Shape Analysis Based on Se...

Shape Approximation requires simplifying a polygonalization of a smooth shape S with another polygonalization that has fewer number of vertices. The computed polygonalization should be homeomorphic to S and geometrically close to it. We present an algorithm that can provably simplify the initial polygonalization when the sampling density is high enough with respect to the feature size of the bo...

Temporary employees rank lower than permanent on various measures of mental and physical health, including well-being. In parallel, much research has shown that the relationship between age well-being traces an approximate U-shape, with a nadir in midlife. employment may well have different associations across lifespan, likely harming people midlife more at start their working lives. Using over...

The Gompertz model is well known and widely used in many aspects of biology. It has been frequently used to describe the growth of animals and plants, as well as the number or volume of bacteria and cancer cells. Numerous parametrisations and re-parametrisations of varying usefulness are found in the literature, whereof the Gompertz-Laird is one of the more commonly used. Here, we review, prese...

We consider the Ginzburg-Landau equation, @ t u = @ 2 x u+u?ujuj 2 , with complex amplitude u(x; t). We first analyze the phenomenon of phase slips as a consequence of the local shape of u. We next prove a global theorem about evolution from an Eckhaus unstable state, all the way to the limiting stable finite state, for periodic perturbations of Eckhaus unstable periodic initial data. Equipped ...

This study investigated French /y/ and /u/ produced by one native speaker (NS) and seven Japanesespeaking learners; four of them received lessons on /u/ with ultrasound visual feedback of the tongue shape and position. Acoustic measurements of 10 repetitions of six words (coronal context) are compared to those of isolated /y/ and /u/, and of the non-words /tyty/ and /tutu/, both before and afte...

A recent contribution to research on age and well-being asserts that the impact of happiness is ‘u-shaped’ virtually everywhere. I evaluate finding for European countries, considering whether it robust alternative methodological approaches. The analysis excludes control variables are affected by (noting those not antecedents age) explores relationship via models do impose a quadratic functional...