The Lamination of Infinitely Renormalizable Dissipative Gap Maps: Analyticity, Holonomies and Conjugacies

Motivated by return maps near saddles for three-dimensional flows and also by return maps in the torus associated to Cherry flows, we study gap maps with derivative positive and smaller than one outside the discontinuity point. We prove that the lamination of infinitely renormalizable maps (or else maps with irrational rotation numbers) has analytic leaves in a natural subset of a Banach space of analytic maps of this kind. With maps having Hölder continuous derivative and derivative bounded away from zero, we also prove Hölder continuity of holonomies of the lamination and also of conjugacies between maps having the same combinatorics. © 2011 Springer Basel AG.

Delaware Water Gap National Recreation Area, Pennsylvania and New Jersey, official map and guide /

Relief shown by shading.

Delaware Water Gap National Recreation Area, Pennsylvania and New Jersey, official map and guide /

Relief shown by shading.

Delaware Water Gap National Recreation Area, Pennsylvania and New Jersey, official map and guide /

Relief shown by shading.

Delaware Water Gap National Recreation Area, Pennsylvania and New Jersey, official map and guide /

"*GPO: 1986--491-417/40047."

Delaware Water Gap National Recreation Area, Pennsylvania and New Jersey, official map and guide /

Relief shown by shading.

Delaware Water Gap National Recreation Area, Pennsylvania and New Jersey, official map and guide /

Relief shown by shading.

Delaware Water Gap National Recreation Area, Pennsylvania and New Jersey, official map and guide /

Relief shown by shading.

Using incomplete online metric maps for topological exploration with the Gap Navigation Tree

This paper presents a general, global approach to the problem of robot exploration, utilizing a topological data structure to guide an underlying Simultaneous Localization and Mapping (SLAM) process. A Gap Navigation Tree (GNT) is used to motivate global target selection and occluded regions of the environment (called “gaps”) are tracked probabilistically. The process of map construction and the motion of the vehicle alters both the shape and location of these regions. The use of online mapping is shown to reduce the difficulties in implementing the GNT.

Ratchetting of railhead in the vicinity of the gap of the insulated rail joints

Insulated Rail Joints (IRJs) are designed to electrically isolate two rails in rail tracks to control the signalling system for safer train operations. Unfortunately the gapped section of the IRJs is structurally weak and often fails prematurely especially in heavy haul tracks, which adversely affects service reliability and efficiency. The IRJs suffer from a number of failure modes; the railhead ratchetting at the gap is, however, regarded as the root cause and attended to in this thesis. Ratchetting increases with the increase in wheel loads; in the absence of a life prediction model, effective management of the IRJs for increased wagon wheel loads has become very challenging. Therefore, the main aim of this thesis is to determine method to predict IRJs' service life. The distinct discontinuity of the railhead at the gap makes the Hertzian theory and the rolling contact shakedown map, commonly used in the continuously welded rails, not applicable to examine the metal ratchetting of the IRJs. Finite Element (FE) technique is, therefore, used to explore the railhead metal ratchetting characteristics in this thesis, the boundary conditions of which has been determined from a full scale study of the IRJ specimens under rolling contact of the loaded wheels. A special purpose test set up containing full-scale wagon wheel was used to apply rolling wheel loads on the railhead edges of the test specimens. The state of the rail end face strains was determined using a non-contact digital imaging technique and used for calibrating the FE model. The basic material parameters for this FE model were obtained through independent uniaxial, monotonic tensile tests on specimens cut from the head hardened virgin rails. The monotonic tensile test data have been used to establish a cyclic load simulation model of the railhead steel specimen; the simulated cyclic load test has provided the necessary data for the three decomposed kinematic hardening plastic strain accumulation model of Chaboche. A performance based service life prediction algorithm for the IRJs was established using the plastic strain accumulation obtained from the Chaboche model. The predicted service lives of IRJs using this algorithm have agreed well with the published data. The finite element model has been used to carry out a sensitivity study on the effects of wheel diameter to the railhead metal plasticity. This study revealed that the depth of the plastic zone at the railhead edges is independent of the wheel diameter; however, large wheel diameter is shown to increase the IRJs' service life.

Flow of metal into the flash gap in the last stages of a plane-strain closed-die forging operation

In closed-die forging the flash geometry should be such as to ensure that the cavity is completely filled just as the two dies come into contact at the parting plane. If metal is caused to extrude through the flash gap as the dies approach the point of contact — a practice generally resorted to as a means of ensuring complete filling — dies are unnecessarily stressed in a high-stress regime (as the flash is quite thin and possibly cooled by then), which reduces the die life and unnecessarily increases the energy requirement of the operation. It is therefore necessary to carefully determine the dimensions of the flash land and flash thickness — the two parameters, apart from friction at the land, which control the lateral flow. The dimensions should be such that the flow into the longitudinal cavity is controlled throughout the operation, ensuring complete filling just as the dies touch at the parting plane. The design of the flash must be related to the shape and size of the forging cavity as the control of flow has to be exercised throughout the operation: it is possible to do this if the mechanics of how the lateral extrusion into the flash takes place is understood for specific cavity shapes and sizes. The work reported here is part of an ongoing programme investigating flow in closed-die forging. A simple closed shape (no longitudinal flow) which may correspond to the last stages of a real forging operation is analysed using the stress equilibrium approach. Metal from the cavity (flange) flows into the flash by shearing in the cavity in one of the three modes considered here: for a given cavity the mode with the least energy requirement is assumed to be the most realistic. On this basis a map has been developed which, given the depth and width of the cavity as well as the flash thickness, will tell the designer of the most likely mode (of the three modes considered) in which metal in the cavity will shear and then flow into the flash gap. The results of limited set of experiments, reported herein, validate this method of selecting the optimum model of flow into the flash gap.

The corotation gap in the Galactic H i distribution

We used the H i data from the LAB Survey to map the ring-shaped gap in H i density that lies slightly outside the solar circle. Adopting R(0) = 7.5 kpc, we find an average gap radius of 8.3 kpc and an average gap width of 0.8 kpc. The characteristics of the H i gap correspond closely to the expected ones, as predicted by theory and by numerical simulations of the gas flow near the corotation resonance.

Proposta de um modelo para reduzir o GAP entre a definição e a execução de estratégias corporativas

Ao analisar o grande esforço e tempo dedicado ao planejamento da estratégia corporativa, nota-se que muitas empresas não apresentam resultados coerentes com a dedicação empregada. Um estudo realizado pela consultoria Marakon Associates (2004), sugere que, na média, apenas 60% dos resultados financeiros da empresa derivam do plano estratégico. O presente trabalho foca principalmente em incorporar a estratégia, refletida no mapa estratégico do balanced scorecard, às atividades e projetos da empresa, a fim de que sejam alcançados os resultados almejados. O objetivo é avaliar o modelo proposto, priorizando e balanceando os projetos de acordo com a estratégia planejada. Com isto, podese minimizar o gap entre a formulação e a execução da estratégia, para tanto, o modelo é composto de vários processos e métodos de avaliação, utilizando teorias relacionadas à estratégia e gestão de portfólio como referência. No presente trabalho, este modelo foi aplicado em uma empresa de telecomunicações situada no Brasil (para assegurar confidencialidade a empresa será tratada como "empresa X"). Porém, este modelo também poderá ser aplicado em empresas com características similares, desde que sejam efetuadas as customizações devidas. O ponto forte deste modelo é que engloba todas as dimensões da estratégia corporativa, tais quais, evolução organizacional, clientes e processos internos, e não somente a perspectiva financeira, como na maioria dos outros modelos. Por outro lado, o ponto fraco do modelo é a dependência em relação à qualidade da informação recebida para efetuar a análise, priorização e balanceamento do portfólio de projetos. Devido a esta característica inerente ao modelo, algumas metas de indicadores do balanced scorecard apresentaram diferenças em relação ao valor realizado. Conclui-se, com a utilização do modelo proposto, que os resultados obtidos são bem consistentes e alinhados com o plano estratégico do balanced scorecard.