In this work we consider the border collision bifurcations occurring in a one-dimensional piecewise linear map with two discontinuity points. The map, motivated by an economic application, is written in a generic form and considered in the stable regime, with all slopes between zero and one. We prove that the period adding structures occur in maps with more than one discontinuity points and tha...

We examine critically some of the existing descriptions of the envelope of a 1-parameter family of surfaces in 3-space. An old, natural, description is that the envelope is the union of the characteristic curves (defined as the “limit intersection curves” of surfaces from the family). This description fell in disrepute during the 20th century. We claim that this relegation of the limit intersec...

We investigate the shape of Rotation Curves (RCs) $z\sim 1$ star-forming galaxies and compare them with local galaxies. For this purpose, we have used $409$ from K-band Multi-Object Spectrograph (KMOS) for Redshift One Spectroscopic Survey (KROSS). This sample covers redshift range $0.57\leq z \leq 1.04$, effective radii $0.69 R_e \left[kpc \right] 7.73$, absolute H-band magnitude $-24.46 M_H -...

In terms of the current trend research and development new materials optimization in automotive industry, greatest attention is paid to progressive high-strength dual-phase (DP) steels with increased stampability, which are designed for cold stamping specific internal car body components market. New grades DP provide a combination high strength good formability contribute weight savings vehicle...

methods are proposed to develop idealized moment-curvature response curves of slender rectangular rc wall sections with uniformly distributed longitudinal reinforcement, using limit states, namely, cracking of concrete in tension, tensile yielding of reinforcement layers, and compression failure of concrete. it is recommended that tensile yielding of an inner layer of reinforcement is considere...

Curve subdivision is a technique for generating smooth curves from initial control polygons by repeated refinement. The most common subdivision schemes are based on linear refinement rules, which are applied separately to each coordinate of the control points, and the analysis of these schemes is well understood. Since the resulting limit curves are not sufficiently sensitive to the geometry of...

The paper deals with devising the combination of fuzzy inference systems (FIS) and neural networks called the adaptive network fuzzy inference system (ANFIS) to determine the forming limit diagram (FLD). In this paper, FLDs are determined experimentally for two grades of low carbon steel sheets using out-of-plane (dome) formability test. The effect of different parameters such as work hardening...