Scaling relations in the Lyapunov exponents of one dimensional maps

We establish numerically the validity of Huberman-Rudnick scaling relation for Lyapunov exponents during the period doubling route to chaos in one dimensional maps. We extend our studies to the context of a combination map. where the scaling index is found to be different.

Analytical Studies on Diffusion and lntermittency in Chaotic Maps

The study of simple chaotic maps for non-equilibrium processes in statistical physics has been one of the central themes in the theory of chaotic dynamical systems. Recently, many works have been carried out on deterministic diffusion in spatially extended one-dimensional maps This can be related to real physical systems such as Josephson junctions in the presence of microwave radiation and parametrically driven oscillators. Transport due to chaos is an important problem in Hamiltonian dynamics also. A recent approach is to evaluate the exact diffusion coefficient in terms of the periodic orbits of the system in the form of cycle expansions. But the fact is that the chaotic motion in such spatially extended maps has two complementary aspects- - diffusion and interrnittency. These are related to the time evolution of the probability density function which is approximately Gaussian by central limit theorem. It is noticed that the characteristic function method introduced by Fujisaka and his co-workers is a very powerful tool for analysing both these aspects of chaotic motion. The theory based on characteristic function actually provides a thermodynamic formalism for chaotic systems It can be applied to other types of chaos-induced diffusion also, such as the one arising in statistics of trajectory separation. It was noted that there is a close connection between cycle expansion technique and characteristic function method. It was found that this connection can be exploited to enhance the applicability of the cycle expansion technique. In this way, we found that cycle expansion can be used to analyse the probability density function in chaotic maps. In our research studies we have successfully applied the characteristic function method and cycle expansion technique for analysing some chaotic maps. We introduced in this connection, two classes of chaotic maps with variable shape by generalizing two types of maps well known in literature.

An integrated assessment of resource use strategies in the Borana pastoral system of southern Ethiopia

In the pastoral production systems, mobility remains the main technique used to meet livestock’s fodder requirements. Currently, with growing challenges on the pastoral production systems, there is urgent need for an in-depth understanding of how pastoralists continue to manage their grazing resources and how they determine their mobility strategies. This study examined the Borana pastoralists’ regulation of access to grazing resources, mobility practices and cattle reproductive performances in three pastoral zones of Borana region of southern Ethiopia. The central objective of the study was to contribute to the understanding of pastoral land use strategies at a scale relevant to their management. The study applied a multi-scalar methodological approach that allowed zooming in from communal to individual herd level. Through participatory mapping that applied Google Earth image print out as visual aid, the study revealed that the Borana pastoralists conceptualized their grazing areas as distinctive grazing units with names, borders, and specific characteristics. This knowledge enables the herders to communicate the condition of grazing resources among themselves in a precise way which is important in management of livestock mobility. Analysis of grazing area use from the participatory maps showed that the Borana pastoralists apportion their grazing areas into categories that are accessed at different times of the year (temporal use areas). This re-organization is an attempt by the community to cope with the prevailing constraints which results in fodder shortages especially during the dry periods. The re-organization represents a shift in resource use system, as the previous mobility practice across the ecologically varied zones of the rangelands became severely restricted. Grazing itineraries of 91 cattle herds for over 16 months obtained using the seasonal calendar interviews indicated that in the areas with the severest mobility constraints, the herders spent most of their time in the year round use areas that are within close proximity to the settlements. A significant change in mobility strategy was the disallowing of foora practice by the communities in Dirre and Malbe zones in order to reduce competition. With the reduction in mobility practices, there is a general decline in cattle reproductive parameters with the areas experiencing the severest constraints showing the least favourable reproductive performances. The study concludes that the multi-scalar methodology was well suited to zoom into pastoral grazing management practices from communal to individual herd levels. Also the loss of mobility in the Borana pastoral system affects fulfilment of livestock feed requirements thus resulting in reduced reproductive performances and herd growth potentials. While reversal of the conditions of the situations in the Borana rangelands is practically unfeasible, the findings from this research underscore the need to protect the remaining pastoral lands since the pastoral production system remains the most important livelihood option for the majority of the Borana people. In this regards the study emphasises the need to adopt and domesticate regional and international policy frameworks such as that proposed by the African Union in 2010.

Weighted Logratio Biplots, Correspondence Analysis and Spectral Maps

Starting with logratio biplots for compositional data, which are based on the principle of subcompositional coherence, and then adding weights, as in correspondence analysis, we rediscover Lewi's spectral map and many connections to analyses of two-way tables of non-negative data. Thanks to the weighting, the method also achieves the property of distributional equivalence

Using self organizing maps on compositional data

Self-organizing maps (Kohonen 1997) is a type of artificial neural network developed to explore patterns in high-dimensional multivariate data. The conventional version of the algorithm involves the use of Euclidean metric in the process of adaptation of the model vectors, thus rendering in theory a whole methodology incompatible with non-Euclidean geometries. In this contribution we explore the two main aspects of the problem: 1. Whether the conventional approach using Euclidean metric can shed valid results with compositional data. 2. If a modification of the conventional approach replacing vectorial sum and scalar multiplication by the canonical operators in the simplex (i.e. perturbation and powering) can converge to an adequate solution. Preliminary tests showed that both methodologies can be used on compositional data. However, the modified version of the algorithm performs poorer than the conventional version, in particular, when the data is pathological. Moreover, the conventional ap- proach converges faster to a solution, when data is \well-behaved". Key words: Self Organizing Map; Artificial Neural networks; Compositional data

The Tyne Digital Library - Part 2 Maps and Images

In this section, you will find maps showing various important aspects of the River Tyne catchment area. All the maps are drawn based on Ordnance Survey data made available via the Digimap service. For the land cover maps of the catchment area, four variants are provided. Please note that the full details of the intext citations quoted in some of the following maps can be found in the full bibliographic listing.

Utilização da ferramenta Google Docs no ensino das Ciências Naturais : um estudo com alunos do oitavo ano de escolaridade. 'El uso de Google Docs en la enseñanza de las Ciencias Naturales : un estudio con alumnos de octavo año de escolaridad'.

Resumen tomado del autor

Maps, figures and photos for theses

This PowerPoint outlines the main points that you need to consider when adding figures to your thesis, including resolution, file format and copyright.

Análisis de inversión extranjera directa por parte del grupo de los BRIC hacia los sectores estratégicos de Colombia

El siguiente documento da a conocer el comportamiento de la Inversión Extranjera Directa (IED) de los países denominados BRIC (Brasil, Rusia, India y China) en Colombia. De acuerdo a lo anterior, en el presente trabajo, se realizó un análisis general de la IED entrante en el país suramericano que buscaba establecer los principales inversores; además de determinar los sectores más atractivos. Posteriormente, se observó la magnitud de la inversión que realizan los países BRIC en Colombia y en el mundo, con el fin de efectuar una comparación que permitiera determinar que tan significativa es la inversión que se realiza en el Estado Colombiano frente a la que es efectuada por estas naciones a nivel global. Igualmente, se consideró las industrias a las que la IED está dirigida, el grado de beneficio que representa para la población y si existe la posibilidad de enfocarla hacia otros sectores estratégicos o si se recomienda encauzarla hacia aquellos que hoy en día son el principal foco de inversión.

How reliable is Google Scholar for Bibliometrics?

A summary of the literature

Análisis de los factores de localización de centros de innovación en Colombia. Estudio de caso: configuración de Ruta N en la ciudad de Medellín, a partir de la localización de proyectos estratégicos en el marco de los procesos de competitividad para la ciudad. (2007-2011)

Esta investigación busca analizar los factores de localización urbanos que se convierten en componentes importantes para establecer Parques Tecnológicos en Colombia como estrategia de competitividad y desarrollo territorial. Particularmente se ha enfocado en la configuración del Centro de Innovación Ruta N en la ciudad de Medellín en el marco de los procesos de competitividad para la ciudad durante el periodo 2007-2011.

Eines Google adreçades al professorat (I) : Gmail i Google Documents. 'Herramientas Google dirigidas al profesorado (I) : Gmail y Google Documents'.

Resumen tomado de la publicación. Incluye capturas de pantalla de ordenador de dichas aplicaciones. Este documento está sujeto a una licencia de Reconocimiento-No Comercial-Compartir con la misma licencia 3.0 España de Creative Commons. Actualizado en marzo de 2009