Consideremos uma sequência de lançamentos de moedas em que denotamos o resultado de cada lançamento por H, se der cara, ou por T, se der coroa. Formemos uma palavra apenas com H\'s e T\'s, por exemplo, HHHHH ou HTHTH. Quantas vezes arremessaremos uma mesma moeda ate que uma das duas palavras acima ocorrera? Por exemplo, dadas as sequências THTHHHHH e TTHTTHTHTH. O numero de vezes que arremessamos a moeda ate que HHHHH e HTHTH ocorreram pela primeira vez e oito e dez, respectivamente. Podemos generalizar a ideia acima para um numero finito de palavras em um alfabeto finito qualquer. Assim, o nosso principal objetivo dessa dissertação e encontrarmos a distribuição do tempo de espera ate que um membro de uma coleção finita de palavras seja observado em uma sequência de ensaios de Markov de letras de um alfabeto finito. Mais especificamente, as letras de um alfabeto finito são geradas por uma cadeia de Markov ate que uma das palavras de uma coleção finita ocorra. Além disso encontraremos a probabilidade de que determinada palavra ocorra antes das demais palavras pertencentes a um mesmo conjunto finito. Por ultimo encontraremos a função geradora de probabilidade do tempo de espera. / Consider a sequence of independent coin flips where we denote the result of any landing for H, if coming up head, or T, otherwise. Create patterns with H\'s and T\'s, for example, HHHHH or HTHTH. How many times do we have to land the same coin until one such two patterns happens? For example, let the sequences being THTHHHHH and TTHTTHTHTH. The number of times that we landed the coin until HHHHH and HTHTH happens it was eight and ten times respectively. We can generalize this idea for a finite number of patterns in any finite set. Then, the first of all interest of this dissertation is to find the distribution of the waiting time until a member of a finite colection of patterns is observed in a sequence of Markov chains of letters in from finite set. More specically the letters in a finite set are generated by Markov chain until one of the patterns in any finite set happens. Besides that, we will find the probability of a pattern happen before of all patterns in the same finite set. Finally we will find the generator function of probability of waiting time.

A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfilment of requirements for the degree of Master of Science. / Unable to load abstract.

ABSTRACT Background: Morbidity patterns of patients attending general practices in Soweto, a suburban township south of Johannesburg, were studied using the international classification of primary care (ICPC) as a coding instrument. The ICPC was used to code reasons for encounter and diagnosis. One hundred and one private practices were in Soweto at the time of the survey and thirty-one of these practices were selected using random number tables to obtain as wide a distribution of geographical and socio economic groups as possible. Aim: The aim of this study is to determine the morbidity patterns of patients attending general practices in Soweto during a week in November of the summer of 1997; and a week in June of the winter of 1998. Objectives: 1) To determine demographic details of responding general practitioners in Soweto including sex, age and area of practice. 2) To determine socio-demographic features of patients attending practitioners in Soweto including age, sex, highest educational level, and occupation. Township of residence, housing details, namely number of rooms in residence, and number of persons living in residence. 3) To determine the initiator of the consultation, namely whether it was doctor initiated, patient initiated, or referred to the practitioner from another practitioner or clinic. IV 4) To determine factors related to the condition for which the patient consulted the doctor, including reason for encounter, diagnosis and whether the presenting problem was a new or an ongoing problem. 5) To determine the relationships between the above variables. Design: A prospective descriptive study design was employed in which doctors completed a survey questionnaire of all patients attended to in their practices during two weeks, one week in summer and one week in winter. Results: The 25 doctors in summer and the 20 doctors in winter, included in the survey described 4,432 encounters. These patients presented with 5,710 problems. Forty point three percent of patients (1780) were male and 59,7% patients (2,632) were female. Fifty two percent of patients (2306) were seen in summer and 48% (2,125) patients were seen in winter allowing the comparison of seasonal variation in morbidity patterns. The majority of patients were in the 20 to 50 year age group, followed by those under ten years of age. In all age groups, except children under the age of ten years, there were more encounters with females than males. In under ten year olds, male encounters were more than female encounters for all ages and twice as frequent as female encounters in the group under the age of one year. Most patients had a secondary education and lived in four roomed houses. Upper respiratory tract infections constituted, 16% (767) of the diagnoses and cough accounted for 16.1% (901) of all the reasons for encounter in all age groups especially in children below the age of 10 years. Digestive complaints were second most common reason for encounter and V diagnoses in the younger children especially in boys. Encounters and diagnoses associated with the eye, male genital system, female genital system, pregnancy and child bearing, ear, psychological, social and blood immune system disorders each accounted for less than 2% of the encounters experienced. Complaints of the musculoskeletal system were frequent in older patients. Family planning, vaginal discharge and painful urination occurred in the 10 to 50 year old age groups. As for encounters, diagnoses were age related with hypertension and osteoarthritis being the most common chronic disease afflicting patients over 30 years of age. Nineteen point seven percent (870) of the patients belonged to the trade and technical occupation, 13.6% (604) of the patients were children, 12.2% (539) of patients were unemployed, 9.6% (423) of patients were scholars, 9.4% (414) were professional, 8.6% (379) of patients were students, 8.1% (360) were pensioners and 7.6% (338) were office workers. Seven point three percent of the patients (325) were Labourers, and 3.9% (172) of the patients were housewives. Thirteen point seven percent of the patients (605) were from Meadowlands, 13% (577) from Dobsonville, 7.2% (318) from other areas outside Soweto, 6.7% (298) were from Orlando East, 6.6% (294) were from Zola and 6.1% (270) from Chiawelo. Less then 5% of the patients came from the remaining townships. Discussion: The present survey recorded encounters of 25 general practitioners in Summer and 20 general practitioners in Winter, with 4,432 patients and 5,710 VI problems. The week time period of the present survey is similar to that of Bourne et al. which determined the morbidity spectrum seen by a representative sample of 8% of the medical practitioners in South Africa in 1985. The sample size of the present study is considerably smaller than the comprehensive Cape Morbidity study, which was conducted over 1 year and recorded 49,347 diagnoses by 15 practitioners. This survey included 38,368 white patients and 14,979 patients of mixed racial origin but no blacks were included. The same limitation applies to the pilot survey conducted by Bloom et al in Cape Town between 1984 and 1988, where 13 practices recorded 64,959 encounters. Studies conducted outside South Africa are similar to those conducted within the country. This survey in comparison with other countries reflects consistency in the incidence of illness encountered by the family practitioner and also contemporary trends in morbidity seen in general practice. Most of the inhabitants of Soweto still make use of coal-stove fires and the town ship is usually enveloped in pall of heavy smoke coming from these coal stove fires. The main impression of Soweto is that of overcrowding and poverty, and still struggling in providing basic services including potable toilets to its poorer districts. Schools in Soweto remain largely without flushed toilets, furniture and electricity. Most of Soweto still has row upon row of so call matchbox houses crowded into unpaved dusty streets that are poorly lit. The above conditions explain the high reasons for encounter and diagnoses of respiratory and digestive conditions among the patients attending the private practices. This study shows that an enormous amount of everyday illness occurs in children and therefore education and advice for parents on how to cope with illness in their children remains important. VII Study Limitation: This survey was conducted in an impoverished township community where many people would attend clinics. It has selected encounters where the patients have the ability to pay for the services of a medical doctor. Conclusion: Few studies appear to be as comprehensive as this study where the reasons of encounter, the diagnosis, patient demographic and socio-economic data was recorded. This is also the largest survey conducted in an urbanized South African township. This survey has found a similar trend in the spectrum of disease, therefore providing a significant analysis of morbidity patterns encountered by the family practitioner in Soweto. There is an on going concern of the role of sexually transmitted diseases in the transmission of HIV, and this study has shown a significant burden of sexually transmitted disease in the asymptomatic population, particularly women in the age group 20 to 30 and 30 to 40 years. The overall burden of diseases in Soweto shows that respiratory problems are significant in all age groups. Chronic diseases such hypertension, osteoarthritis, presumed gastrointestinal infections, asthma and malignant neoplasm of the stomach as well as the anxiety disorders also featured prominently in the top 20 reasons for encounter and diagnoses. Information about mental health status in South Africa is scanty and has possibly led to an inadequate identification of a potential problem. This study has shown anxiety disorder/anxiety state as being a common reason for encounter and diagnoses in adults attending private practices in Soweto. To determine whether this survey reflects the morbidity patterns in this population as a whole would require additional data from the Government hospitals and clinics.

Orientador: Hermione Elly Melara de Campos Bicudo / Banca: Lílian Castiglioni / Banca: Marcelo Ferreira Lourenço / Banca: Eduardo Alves de Almeida / Banca: Lilian Madi Ravazzi / Resumo: Os padrões de esterases de 19 linhagens de 10 espécies do grupo saltans foram analisados usando eletroforese em gel de poliacrilamida e α e β-naftil acetatos como substratos. Cinqüenta e uma bandas esterásicas foram detectadas e classificadas como 31 α-esterases, 18 β-esterases e duas α/β-esterases. Com base nos padrões de inibição usando Malathion e sulfato de eserina, 34 bandas foram classificadas como carboxilesterases, 14 como acetilesterases e três como colinesterases. Dez loci gênicos foram tentativamente estabelecidos com base nos dados de posição da banda no gel, preferência ao substrato e padrões de inibição. Vinte bandas foram espécie-específicas, as restantes foram compartilhadas por espécie de um mesmo ou diferentes subgrupos. Sete bandas α-esterásicas foram observadas exclusivamente em machos. Bandas com diferentes freqüências ou grau de expressão entre os sexos também foram detectadas. Nos géis preparados para análise da expressão dos genes nas partes do corpo (cabeça, tórax e abdome), o grau de expressão das β- esterases foi alto no tórax, enquanto as α-esterases expressaram-se predominantemente no abdome e tórax. Uma visão global dos dados, atualmente disponíveis, quanto às esterases das espécies do grupo saltans é apresentada neste trabalho. As hipóteses filogenéticas geradas à partir dos dados deste estudo foram comparadas com filogenias anteriores baseadas na morfologia, bioquímica e características moleculares. / Abstract: The esterase patterns of 19 strains from 10 species in the saltans group were analyzed using polyacrylamide gel electrophoresis and α- and β-naphthyl acetates as substrates. Fifty-one esterase bands were detected and classified as 31 α-esterases, 18 β-esterases and two α/β- esterases. On the basis of the inhibition patterns using Malathion and eserine sulfate, 34 bands were classified as carboxylesterases, 14 as acethylesterases and three as cholinesterases. Ten gene loci were tentatively established on the basis of data on band position in the gel, substrate preference and inhibition pattern. Twenty bands were species-specific, the remaining being shared by species from the same or different subgroups. Seven α-esterase bands were observed exclusively in males. Bands with a different frequency or degree of expression between sexes were also detected. In the gels prepared for analysis of gene expression in the body parts (head, thorax and abdomen), the degree of expression of the β- esterases was higher in the thorax, while the α-esterases were expressed predominantly in the abdomen and thorax. A global view of the data available at present on the esterases of species from the saltans group is presented. Phylogenetic hypotheses generated from data in this study are compared with prior phylogenies based on morphological, biochemical and molecular characteristics. / Doutor

Os objetos carregados pelas pessoas, que neste estudo chamamos de portáveis, se inserem em duas hipóteses, primeiramente, que estes objetos normalmente são condicionados morfologicamente pelas maneiras que são transportados, assim como se considera que em determinadas situações se configuram numa sorte de padrões, que podem ser tipificados e definidos, tendo como critério de análise a relação entre as coordenadas ortogonais do objeto. Dependendo da relação dimensional entre seus lados, são classificados em barras, placas ou blocos. Nesta análise, considera-se que eventualmente, estes objetos possam ter mais de uma configuração, dependendo de estarem no estado de uso ou de não uso, que chamamos de \"instâncias\", passíveis de mudar as configurações dos objetos pelo artifício da conversibilidade. O estudo da portabilidade identifica três modalidades de se portar objetos, primeiramente os que dizem respeito aos objetos que estão em contato direto com o corpo, que chamamos de Objetos de corpo; a dos objetos transportados nos contentores das vestimentas, ou seja, Objetos de bolso; e finalmente a dos objetos carregados com uma certa intermitência pelo usuário, chamados de Objetos de mão. A pesquisa mostra que as hipóteses se manifestam mais claramente nestas duas últimas particulares formas de portabilidade, portanto foram feitos estudos mais detalhados em aspectos históricos que incluem os eventos a partir do século passado até nossos dias, observação direta dos comportamentos dos usuários e seus objetos, assim como o aprofundamento em Estudos de caso, como forma de aferir mais detalhadamente as hipóteses. É nas Considerações finais que se reúnem as conclusões parciais dos três últimos capítulos, constatando o predomínio das configurações em placa e seu significado no contexto da pesquisa, que propõe caminhos de continuidade do trabalho, por meio de estudos das outras configurações que se mostraram menos recorrentes (barras e blocos), assim como sugere novos tópicos relacionados ao tema da pesquisa. / Objects that are carried by people, which we call portable, are part of two hypotheses: firstly, that these objects are normally morphologically conditioned by the way they are transported, as in considering that determined situations are configured in a sort of patterns that can be sorted and defined, having as an analysis\' criteria the relation between the orthogonal coordinates of the object. Depending on the dimensional relation between its sides, they\'re classified in bars, plates or blocks. In this analysis, it is considered that, eventually, these objects could acquire more than one configuration, depending on its state: in use or not. We call these \"instances\", subject to changing the objects\' configurations through convertibility. The study of portability identifies three ways of carrying objects: firstly the ones we find in direct contact with the body, which we call Body Objects; second, the objects we carry within the places in our clothes, called Pocket Objects; last of all, the objects carried with certain intervals by the one using it, called Hand Objects. The research accuses that the hypotheses are shown more clearly in the last two forms of portability, therefore more thorough studies are made in historical aspects that include the events from the last century until nowadays, the observation of users\' behaviors and their objects and the deepening in Case Studies, as a way of gauging the hypotheses thoroughly. It is in the Final Considerations that the partial conclusions of the three last chapters are gathered, stating the majority of plates\' configurations and their meaning in the context of the research that lead to proposing ways of continuing the work, through studies of other configurations that have shown themselves less frequently (bars and blocks), as well as suggesting new topics related to the research\'s theme.

Thesis advisor: Curt Dudley-Marling / Federal legislation now requires that all children participate in large-scale, statewide assessments in English in an effort to increase accountability and bolster student achievement (Abedi, Hofstetter, & Lord, 2004; Hass, 2002). Students labeled as "English language learners" (ELLs) consistently score dramatically lower on English language and literacy assessments than their native speaking peers (Au & Raphael, 2000; National Center for Educational Statistics, 2011). Additionally, most mainstream teachers are not adequately prepared to meet the linguistic challenges that ELLs face in classroom settings (Lucas & Villegas, 2011). Reading aloud to bilingual students, specifically using components of a shared reading model (Holdaway, 1979), potentially provides an avenue for meaningful language and literacy development. While a corpus of research exists about reading aloud with English-speaking students, there has been limited research on its use with bilingual students in classroom settings. Drawing on a sociocultural theoretical framework (Gee, 1996; Vygotsky, 1978), the Output Hypothesis of second language acquisition (Swain, 1985), ethnographic perspectives (Heath & Street, 2008), action research (Stringer, 1999) and discourse analysis (Bloome et al., 2008), this qualitative study examined the practice of four pre-service elementary teachers reading aloud English texts (fiction, expository, and poetry) to small groups of bilingual students across four grade levels. The research was conducted to study pre-service teachers' language and literacy teaching practices and pre-service teacher-bilingual student interaction patterns in read aloud contexts to better understand their potential for bilingual student language and literacy learning. Additionally, the study provided beginning teachers with professional development geared towards helping pre-service teachers to meet the unique language and literacy needs of bilingual students. It was found that pre-service teachers consistently strived to develop students' word knowledge and support text comprehension. In doing so, teachers utilized a variety of teaching practices and linguistic patterns of interaction during read alouds which varied across teachers. The argument is made that these various teacher moves and discourse patterns led to qualitatively different types of interactions and affordances for bilingual student learning. Implications for mainstream classroom teachers and teacher education programs are provided. / Thesis (PhD) — Boston College, 2012. / Submitted to: Boston College. Lynch School of Education. / Discipline: Teacher Education, Special Education, Curriculum and Instruction.

O teletrabalho é uma prática que pode ser utilizada como medida de gerenciamento da demanda por transporte urbano, uma vez que tem o potencial de reduzir a necessidade de realização de viagens através da substituição de atividades presenciais, que exigem deslocamentos, pelas virtuais, realizadas com auxílio de tecnologias da informação e comunicação. Esta pesquisa procura explorar e entender como está ocorrendo a adoção do teletrabalho por empresas em São Paulo e quais são os seus principais impactos nos padrões individuais de atividades e viagens. Para alcançar este objetivo, foi realizada uma revisão abrangente da literatura seguida por dois levantamentos de dados. O primeiro consistiu em entrevistas em profundidade com representantes do departamento de recursos humanos de dez empresas, que adotavam ou não teletrabalho. Já o segundo foi realizado com teletrabalhadores e utilizou ferramentas como questionário online, aplicativo de smartphone (para coletar dados de atividades e viagens por 7 dias) e entrevistas em profundidade. As entrevistas com representantes de empresas revelam que os potenciais benefícios para as empresas e para os funcionários são os aspectos que estão motivando a disseminação do teletrabalho, mesmo que de forma lenta. Porém, por não ser ainda uma prática comum, continuam a prevalecer algumas barreiras, principalmente relacionadas à cultura organizacional. O levantamento de dados com teletrabalhadores indica que a viagem casa-trabalho e o congestionamento em São Paulo têm sido os principais motivadores para adesão, e revela diferenças importantes no comportamento relativo a viagens dos indivíduos nos dias de teletrabalho e nos dias de trabalho convencional. Enquanto o número de atividades realizadas por outros motivos que não o trabalho e o tempo a elas dedicado são similares nos dias de teletrabalho e de trabalho convencional, o número de viagens, a distância viajada e o tempo gasto em transporte se reduzem. / Telecommuting can be considered a measure for travel demand management since it has the potential to reduce trips by replacing a face to face activity, which requires travel, by a virtual one, with the use of information and communication technologies. The objective of this research is twofold: first, to explore and understand the adoption of telecommuting by companies in São Paulo and, second, to identify and to measure the main impacts of telecommuting on individuals activity-travel patterns. To achieve this aim, a comprehensive literature review was conducted, followed by two types of data collection efforts. First, in-depth semi-structured interviews were conducted with individuals responsible for Human Resources policies in ten companies adopting telecommuting or not. Second, a sample of telecommuters was recruited to answer to an online questionnaire and to provide detailed diary data for 7 days using smartphones, after which an in-depth interview was conducted. Interviews with Human Resources personnel revealed that potential benefits for companies and employees are the drivers behind the dissemination of telecommuting, although slow. As a yet unconventional practice, barriers continue to exist, particularly related to organizational culture. Data collection and analysis of telecommuters behavior shows that the congestion faced in the home-to-work trip is the main reason for adoption of telecommuting in São Paulo. Important differences in activity and travel behavior were observed between telecommuting and non-telecommuting days. While the number of participations and the time spent in non-work activities are relatively similar for the two types of days, a reduction occurred in the number of trips, total distance and time traveled on telecommuting days.

L'émergence des biotechnologies, telles que les puces ADN, a permis l'acquisition d'énormes quantités de données d'une cellule à un instant donné et sous certaines conditions. Elles sont devenues incontournables lorsqu'il s'agit de comprendre une maladie qui proviendrait d'une anomalie génomique perturbant le développement naturel entre la croissance, la division et la mort des cellules. En utilisant cette biotechnologie, l'objectif est d'identifier les gènes impliqués dans la maladie étudiée. Mais chaque puce donne l'information de plus de 19 000 gènes rendant difficile toute exploitation et analyse des résultats. La fouille de données a longtemps été étudiée pour mettre en évidence des corrélations non triviales à partir de grande base de données. Initialement proposées pour répondre aux interrogations des décideurs lorsqu'il s'agissait de mieux connaître le comportement des clients d'un supermarché, ces méthodes connaissent aujourd'hui un tel succès qu'elles ont été utilisées et adaptées dans divers domaines d'applications allant du marketing jusqu'à la santé. L'étude que nous proposons de mener est de proposer de nouvelles méthodes de fouille de données pour aider les biologistes à déduire de nouvelles connaissances à partir des données obtenues par l'analyse des puces ADN. Plus précisément, nous proposons de mettre en évidence des gènes fréquemment ordonnés selon leurs expressions et nous étudions l'apport de ce type d'information comme nouveau matériel d'étude pour les biologistes. / The emergence of biotechnology, such as DNA chips, has acquired huge amounts of data in a cell at a given moment and under certain conditions. They are used in order to understand a disease whose origin is a genomic abnormality disrupting the natural development between growth, division and cell death. Using this biotechnology, the aim is to identify the genes involved in disease studied. But each chip gives information on more than 19,000 genes then it is difficult to use and to analyse the results. Methods of Data mining are used in order to find interesting correlations from large database. Initially proposed to address questions about the behavior of customers of a supermarket, these methods are now used and adapted in various fields of applications ranging marketing to health. In this study, we propose new methods in order to help biologists to deduce new knowledge from data obtained by DNA microarray analysis. Specifically, we propose to identify genes frequently ordered by their expressions and we study the contribution of such information as the new study material for biologists.

The human brain consists of billions of neurons and these neurons pool together in groups at different scales. On one hand, these neural entities tend to behave as single units and on the other hand show collective macroscopic patterns of activity. The neural units communicate with each other and process information over time. This communication is through small electrical impulses which at the macroscopic scale are measurable as brain waves. The electric field that is produced collectively by macroscopic groups of neurons within the brain can be measured on the surface of the skull via a brain imaging modality called Electroencephalography (EEG). The brain as a neural system has variant connection topology, in which an area might not only be connected to its adjacent neighbors homogeneously but also distant areas can directly transfer brain activity [16]. Timing of these brain activity communications between different neural units bring up overall emerging spatiotemporal patterns. The dynamics of these patterns and formation of neural activities in cortical surface is influenced by the presence of long-range connections between heterogeneous neural units. Brain activity at large-scale is thought to be involved in the information processing and the implementation of cognitive functions of the brain. This research aims to determine how the spatiotemporal pattern formation phenomena in the brain depend on its connection topology. This connection topology consists of homogeneous connections in local cortical areas alongside the couplings between distant functional units as heterogeneous connections. Homogeneous connectivity or synaptic weight distribution representing the large-scale anatomy of cortex is assumed to depend on the Euclidean distance between interacting neural units. Altering characteristics of inhomogeneous pathways as control parameters guide the brain pattern formation through phase transitions at critical points. In this research, linear stability analysis is applied to a macroscopic neural field in a one-dimensional circular and a twodimensional spherical model of the brain in order to find destabilization mechanism and subsequently emerging patterns. / Includes bibliography. / Dissertation (Ph.D.)--Florida Atlantic University, 2018. / FAU Electronic Theses and Dissertations Collection

Redes neurais caracterizadas por cadeias de osciladores acoplados são um dentre vários tipos de redes que possuem propriedades peculiares relacionadas com a sua estrutura topológica. A dinâmica que descreve o comportamento dessas redes é modelada por sistemas de equações diferenciais, nos quais cada neurônio (nó) é considerado como um oscilador. Estudos realizados em redes desse tipo, em tarefas de reconhecimento de padrões estáveis gerados aleatoriamente, têm apresentado resultados computacionais satisfatórios. Esta tese propôs um desenvolvimento teórico e computacional que forneceu um algoritmo, para o estudo do desempenho de redes neurais em forma de osciladores de Ciclo-Limite de Stuart-Landau, no reconhecimento de figuras fractais. Neste trabalho apresentaremos contextos reais em que podemos encontrar características deste tipo de redes e motivações. Em seguida, serão expostos conceitos de redes de Hopfield, reconhecimento de padrões, teorias dos fractais e dos osciladores de Ciclo-Limite de Stuart-Landau; tais conceitos, por sua vez, serviram como ferramentas principais para o algoritmo construído que será explicado posteriormente. Antes de apresentá-lo, será exposta a maneira como a dinâmica desses osciladores pode se tornar caótica, por meio de simulações computacionais alterando numericamente variáveis intrínsecas, como tempos de disparos entre neurônios, ou quantidades destes no sistema. Estas descobertas serviram como confirmações para elaborar e compor do algoritmo, bem como orientaram as simulações de reconhecimento de figuras fractais. Por fim, será apresentada a conclusão dos resultados encontrados. / Neural networks characterized by chains of coupled oscillators are one of several types of networks which have peculiar properties related with their topological structure. The dynamics that describes the behavior of these networks is modeled by systems of differential equations, of which each neuron (node) is considered as an oscillator. Studies on such networks, in tasks of recognizing randomly generated stable patterns, have presented satisfactory computational results. This thesis proposed a theoretical and computational development that provided an algorithm for the study of the performance of neural networks in the form of Cycle-Limit oscillators of Stuart-Landau, in the recognition of fractals. In this work we will present real contexts in which we can find characteristics of this type of networks and motivations. Next, concepts of Hopfield networks, pattern recognition, fractals theories and the Stuart-Landau Cycle-Limit oscillators will be presented; these concepts, in turn, served as the main tools for the algorithm constructed that will be explained later. Before presenting it, it will be exposed how the dynamics of these oscillators can become chaotic, through computer simulations numerically altering intrinsic variables, such as firing times between neurons, or quantities of these in the system. These findings served as confirmations for elaborating and composing the algorithm, as well as guiding the simulations of the recognition of fractals. Finally, the results will be presented.