This paper presents a method of calculating an interval including a bifurcation point. Turning points, simple bifurcation points, symmetry breaking bifurcation points and hysteresis points are calculated with guaranteed accuracy by the extended systems for them and by the Krawczyk-based interval validation method. Taking several examples, the results of validation are also presented. key words:...

Abstract This article focuses on how the concept of “turning points” can be used in narrative research when studying people’s (professional) identities and identity formation. By examining various understandings turning points, we aim to show they identified as analytical tools different ways conducting analyses A case study from a project police is illustrate application perspectives points. T...

Turning points in financial markets are often characterized by changes the direction and/or magnitude of market movements with short-to-long term impacts on investors’ decisions. A Bayesian technique is developed for turning point detection equity markets. The interconnectedness among stock returns from a piece-wise network vector autoregressive model derived. global over past two decades exami...

In this paper we examine the topology of inverse limit spaces generated by maps of finite graphs. In particular we explore the way in which the structure of the orbits of the turning points affects the inverse limit. We show that if f has finitely many turning points each on a finite orbit then the inverse limit of f is determined by the number of elements in the ω-limit set of each turning poi...

A new strategy for dating the business cycle turning points, both in the classical and the deviation sense, is presented. After reviewing the available solutions, and in particular the popular Bry and Boschan routine, the role of filtering operations in the preliminary identification of candidate turning points is discussed. Low-pass filters are employed to reduce the amplitude of those fluctua...

The literature on human turning preferences is inconsistent. While the few studies with children below 14 years of age uniformly describe an overall left-turning (counterclockwise) tendency, a recent Internet study with more than 1500 adults found a right-sided (clockwise) bias. We set out to investigate spontaneous turning behaviour in children age 5-3 years and, based on neuropsychiatric work...

in this paper, we investigate infinite product representation of the solution of a sturm-liouville equation with an indefinite weight function which has two zeros and/or singularitiesin a finite interval. first, by using of the asymptotic estimates provided in [w. eberhard, g.freiling, k. wilcken-stoeber, indefinite eigenvalue problems with several singular pointsand turning points, math. nachr...