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Автор: Grafiati
Опубліковано: 30 травня 2022
Оновлено: 31 травня 2022

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Статті в журналах з теми "FRACTAN"

1

Bavykin, O. B., S. V. Plaksin, and O. F. Vycheslavova. "Fractal analysis of surface profile of machine parts using measuring device MarSurf XR20." Izvestiya MGTU MAMI 8, no. 3-2 (April 10, 2014): 9–13. http://dx.doi.org/10.17816/2074-0530-67608.

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This paper proposes a method of fractal analysis of surface profile, based on joint application of the measuring device MarSurf XR20, spreadsheet editor Microsoft Excel and computer programs Fractan and MarWin. The results of surface profile fractal analysis obtained by using the proposed method are presented.
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2

Bavykin, Oleg, Tatyana Levina, Vladlena Matrosova, Anatoly Klochkov, and Vitaliy Enin. "Use of fractal analysis to evaluate the surface quality of agricultural machinery parts." BIO Web of Conferences 17 (2020): 00189. http://dx.doi.org/10.1051/bioconf/20201700189.

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The research of the determination of the fractal characteristics of the surface of a material proposes the use of a stationary profilograph and a computer program for calculating the Hurst exponent. The low accuracy of fractal analysis using the well-known computer program Fractan is revealed. A computer program developed in VBA for the fractal analysis of the time series is described. The high accuracy of the algorithms for calculating the Hurst exponent incorporated in this program is shown.
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3

Knowles, Asante James. "Fractal Philosophy: Grounding the Nature of the Mind with Fractals." NeuroQuantology 17, no. 8 (August 25, 2019): 19–23. http://dx.doi.org/10.14704/nq.2019.17.8.2799.

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4

Gavrishev, Aleksei A. "Application of nonlinear dynamics methods for quantitative and qualitative evaluation of properties of 2D models of S-chaos." Journal of Applied Informatics 16, no. 91 (February 26, 2021): 125–43. http://dx.doi.org/10.37791/2687-0649-2021-16-1-125-143.

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In this article, based on the mathematical, numerical and computer modeling carried out by the combined application of E&F Chaos, Past, Fractan, Visual Recurrence Analysis, Eviews Student Version Lite programs, some of the well-known 2D models of S-chaos are modeled, the data obtained are studied using nonlinear dynamics methods and the fact of their relation or non-relation to chaotic (quasi-chaotic) processes is established. As a result, it was found that the time diagrams obtained for the studied 2D models of S-chaos have a complex noise-like appearance and are continuous in the time domain. The resulting spectral diagrams have both a complex noise-like and regular appearance and are continuous in the spectral regions. The obtained values of BDS-statistics show that some of the time implementations can be attributed to chaotic (quasi-chaotic) processes. Also, the obtained values of BDS-statistics show that the studied 2D models of S-chaos have a property characteristic of classical chaotic (quasi-chaotic) processes: the slightest change in the initial conditions leads to the generation of a new set of signals. The obtained values of the lower bound of the KS-entropy show that the studied models also have the properties of chaotic (quasi-chaotic). Taking into account the conducted research and data from known works [1–5], it is possible to conclude that 2D models of S-chaos can relate to chaotic (quasi-chaotic) processes.
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5

Sander, Evelyn, Leonard M. Sander, and Robert M. Ziff. "Fractals and Fractal Correlations." Computers in Physics 8, no. 4 (1994): 420. http://dx.doi.org/10.1063/1.168501.

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6

DA CRUZ, WELLINGTON. "FRACTONS AND FRACTAL STATISTICS." International Journal of Modern Physics A 15, no. 24 (September 30, 2000): 3805–28. http://dx.doi.org/10.1142/s0217751x00002317.

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Fractons are anyons classified into equivalence classes and they obey specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach in the context of the fractional quantum Hall effect (FQHE) and the concept of duality between such classes, defined by [Formula: see text] shows us that the filling factors for which the FQHE were observed just appear into these classes. A connection between equivalence classes h and the modular group for the quantum phase transitions of the FQHE is also obtained. A β-function is defined for a complex conductivity which embodies the classes h. The thermodynamics is also considered for a gas of fractons (h,ν) with a constant density of states and an exact equation of state is obtained at low-temperature and low-density limits. We also prove that the Farey sequences for rational numbers can be expressed in terms of the equivalence classes h.
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7

Southern, B. W., and A. R. Douchant. "Phonon-Fracton Crossover on Fractal Lattices." Physical Review Letters 55, no. 17 (October 21, 1985): 1808. http://dx.doi.org/10.1103/physrevlett.55.1808.

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8

Southern, B. W., and A. R. Douchant. "Phonon-Fracton Crossover on Fractal Lattices." Physical Review Letters 55, no. 9 (August 26, 1985): 966–68. http://dx.doi.org/10.1103/physrevlett.55.966.

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9

Yakubo, Kousuke, Minoru Nakano, and Tsuneyoshi Nakayama. "Fracton decay in nonlinear fractal systems." Physica B: Condensed Matter 219-220 (April 1996): 351–53. http://dx.doi.org/10.1016/0921-4526(95)00742-3.

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10

Moreles Vázquez, Uriel Octavio. "Los fractales." Acta Universitaria 13 (September 1, 2003): 19–22. http://dx.doi.org/10.15174/au.2003.249.

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Більше джерел

Дисертації з теми "FRACTAN"

1

Чумак, В. С., та І. В. Свид. "Фрактальный анализ в задачах оценки биоэлектрических сигналов с целью дифференциальной диагностики патологических состояний". Thesis, ХНУРЕ, 2019. http://openarchive.nure.ua/handle/document/8482.

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Such features of the signal as, for example, sudden drops and bursts result in only minor changes in the spectrum of the signal, which are distributed along the entire frequency axis, which makes it impossible to detect and analyze them. From the composition of the higher components of the spectrum, it is almost impossible to determine the location of the features of the time dependence of the original signal and this makes it necessary to use new methods for analyzing bioelectric signals, which are fundamentally suitable for analyzing pseudo-random nonstationary processes. These methods include fractal and wavelet analysis.
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2

Moraes, Leonardo Bastos. "Antenas impressas compactas para sistemas WIMAX." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/3/3142/tde-26122013-161125/.

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Alcançar altas taxas de dados em comunicações sem fio é difícil. Altas taxas de dados para redes locais sem fio tornou-se comercialmente um sucesso por volta do ano de 2000. Redes de longa distância sem fio ainda são projetados e utilizados principalmente para serviços de voz em baixas taxas. Apesar de muitas tecnologias promissoras, a realidade de uma rede de área ampla que atenda muitos usuários com altas taxas de dados e largura de banda e consumo de energia razoáveis, além de uma boa cobertura e qualidade no serviço ainda é um desafio. O objetivo do IEEE 802.16 é projetar um sistema de comunicação sem fio para obter uma internet de banda larga para usuários móveis em uma área metropolitana. É importante perceber que o sistema WIMAX tem que enfrentar desafios semelhantes aos existentes sistemas celulares e seu desempenho eventual será delimitado pelas mesmas leis da física e da teoria da informação. Em muitas áreas da engenharia elétrica, tem-se direcionado atenção à miniaturização de componentes e equipamentos. Em particular, antenas não são exceções. Desde que Wheeler iniciou estudos sobre os limites fundamentais de miniaturização de antenas, o assunto tem sido discutido por muitos estudiosos e várias contribuições nesse sentido foram feitas desde então. Os avanços das últimas décadas na área de microeletrônica permitiram a miniaturização dos demais componentes empregados no desenvolvimento de equipamentos eletrônicos e disponibilizaram o uso de aparelhos compactos, leves e com diversas funcionalidades e aplicações comerciais. No entanto, ainda que a integração de circuitos seja uma realidade, a integração completa de um sistema de comunicação sem fio, incluindo a antena, é ainda um dos grandes desafios tecnológicos. No caso de antenas impressas procura-se continuamente desenvolver antenas que, além de compactas, apresentem maior largura de banda, ou operação em múltiplas bandas dada sua inerente característica de banda estreita em projetos convencionais. Neste trabalho, o foco está na miniaturização de antenas impressas através da aplicação de fractais. São apresentadas comparações entre antenas fractais quadradas de Minkowski e fractais triangulares de Koch. Inicialmente, antenas 6 impressas com geometrias convencionais quadradas e triangulares foram projetadas para ter a mesma frequência de ressonância. Depois disso, as estruturas fractais de Minkowski Island e Koch Loop foram implementadas nas antenas quadrada e triangular, respectivamente, até a terceira iteração. As frequências escolhidas foram as de 2,4 GHz, 3,5 GHz, 5,0 GHz e 5,8 GHz. Diversos protótipos foram construídos em dois substratos de permissividade diferentes, o FR-4 e o DUROID 5870. Para validar os resultados foram construídas antenas na frequência de 3,5 GHz para as geometrias quadrada e triangular e suas iterações fractais. A contribuição deste trabalho está na análise sobre as vantagens e desvantagens de cada uma das estruturas propostas. Dependendo dos requisitos de um projeto, a opção pode ser por antenas miniaturizadas com maior largura de banda, como normalmente acontece em alguns projetos comerciais. Entretanto, o interesse por bandas estreitas muitas vezes pode ser um requisito, principalmente para emprego militar, onde por vezes a máxima discrição na transmissão é uma exigência. Além disso, também foi feita uma análise sobre as geometrias que atingiram maior miniaturização.
Achieving high data rates in wireless communication is difficult. High data rates for wireless local area networks became commercially successful only around 2000. Wide area wireless networks are still designed and used primarily for low rate voice services. Despite many promising technologies, the reality of a wide area network that services many users at high data rates with reasonable bandwidth and power consumption, while maintaining high coverage and quality of service has not been achieved. The goal of the IEEE 802.16 was to design a wireless communication system processing to achieve a broadband internet for mobile users over a wide or metropolitan area. It is important to realize that WIMAX system have to confront similar challenges as existing cellular systems and their eventual performance will be bounded by the same laws of physics and information theory. In many areas of electrical engineering, miniaturization has been an important issue. Antennas are not an exception. After Wheeler initiated studies on the fundamental limits for miniaturization of antennas, this subject has been extensively discussed by several scholars and many contributions have been made. The advances of recent decades in the field of microelectronics enabled the miniaturization of components and provided the use of compact, lightweight, equipments with many features in commercial applications. Although circuit integration is a reality, the integration of a complete system, including its antenna, is still one of the major technological challenges. In the case of patch antennas, the search is for compact structures with increased bandwidth, due to the inherent narrowband characteristic of this type of antenna. In this work the focus is on a comparison between the Minkowski and the Koch Fractal Patch Antennas. Initially, patch antennas with conventional square and triangular geometries were simulated to present the same resonance frequency. After that, fractal Minkowski and Koch Island Loop antennas were implemented in the square and triangular geometries, respectively, to the third iteration. A comparison was made for two substrates of different permittivities FR-4 and DUROID 5870 at the frequencies of 2,4 GHz; 3,5 GHz; 5,0 GHz and 5,8 GHz. 8 Prototype antennas were built using FR-4 and DUROID 5870 to resonate at a frequency of 3,5 GHz to validate simulation results. The contribution of this work is the analysis of the advantages and disadvantages of each proposed fractal structure. According to the project requirements, the best option can be use a miniaturized antenna with a wider band, as in commercial projects. Particularly in military applications, a narrow band antenna can be a requirement, as sometimes maximum discretion in transmission is a paramount. An additional analysis was performed to verify which of the geometries fulfilled the miniaturization criteria of Hansen.
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3

Mucheroni, Laís Fernandes [UNESP]. "Dimensão de Hausdorff e algumas aplicações." Universidade Estadual Paulista (UNESP), 2017. http://hdl.handle.net/11449/151653.

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Intuitivamente, um ponto tem dimensão 0, uma reta tem dimensão 1, um plano tem dimensão 2 e um cubo tem dimensão 3. Porém, na geometria fractal encontramos objetos matemáticos que possuem dimensão fracionária. Esses objetos são denominados fractais cujo nome vem do verbo "frangere", em latim, que significa quebrar, fragmentar. Neste trabalho faremos um estudo sobre o conceito de dimensão, definindo dimensão topológica e dimensão de Hausdorff. O objetivo deste trabalho é, além de apresentar as definições de dimensão, também apresentar algumas aplicações da dimensão de Hausdorff na geometria fractal.
We know, intuitively, that the dimension of a dot is 0, the dimension of a line is 1, the dimension of a square is 2 and the dimension of a cube is 3. However, in the fractal geometry we have objects with a fractional dimension. This objects are called fractals whose name comes from the verb frangere, in Latin, that means breaking, fragmenting. In this work we will study about the concept of dimension, defining topological dimension and Hausdorff dimension. The purpose of this work, besides presenting the definitions of dimension, is to show an application of the Hausdorff dimension on the fractal geometry.
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4

Zanotto, Ricardo Anselmo. "Estudo da geometria fractal clássica." Universidade Federal de Goiás, 2015. http://repositorio.bc.ufg.br/tede/handle/tede/6058.

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Outro
This is a research about a part of the non-Euclidean geometry that has recently been very studied. It was addressed initial themes of the non-Euclidean geometry and it was exposed the studies abut fractals, its history, buildings and main fractals (known as classic fractals). It was also addressed the relation among the school years contents and how to use fractals; as well as some of its applications that have helped a lot of researches to spread and show better results.
Este trabalho é uma pesquisa sobre parte da geometria não euclidiana que há pouco vem sendo muito estudada, os fractais. Abordamos temas iniciais da geometria nãoeuclidiana e no decorrer do trabalho expomos nosso estudo sobre fractais, seu histórico, construções, principais fractais (conhecidos como fractais clássicos). Também abordamos relações entre conteúdos dos anos escolares e como usar fractais nos mesmos; como também algumas de suas aplicações que vem ajudando muitas pesquisas a se difundirem e apresentarem melhores resultados.
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5

Ferreira, Filho José Roberto. "Geometria fractal : da natureza para a sala de aula." Universidade Federal de Sergipe, 2015. https://ri.ufs.br/handle/riufs/6515.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
This work deals with the study of fractal geometry, emphasizing its main features included on natural systems that motivate them. Here some names that contributed to the emergence and development of mathematical fractals, emphasizing examples of natural fractals and the pioneer of Benoit B. Mandelbrot contribution .
Este trabalho trata do estudo da geometria fractal, enfatizando suas principais caracter sticas compreendidas com base nos sistemas naturais que as motivam. Apresentamos alguns nomes que contribuiram para o surgimento e desenvolvimento dos fractais matem aticos, enfatizando os exemplos de fractais naturais e a contribui c~ao do pioneiro Benoit B. Mandelbrot.
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Araújo, Jerrimar Moraes de. "Teoria matemática implícita na geometria fractal: construindo fractais com a ferramenta computacional Asymptote." Universidade Federal de Roraima, 2015. http://www.bdtd.ufrr.br/tde_busca/arquivo.php?codArquivo=308.

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Анотація:
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
O presente trabalho consiste em um relato sobre a origem da Geometria Fractal, tendo em destaque a figura de Benoît Mandelbrot, identificado como pioneiro nesta área, cujo fractal leva seu nome. Mostra os fractais pioneiros, assim como a construção destes através da ferramenta computacional "Asymptote". É necessário dizer que, a partir da construção destes, percebe-se, com facilidade um intenso uso de conteúdos presentes no currículo escolar do ensino básico, como por exemplo o cálculo de perímetro e de áreas de figuras planas, potenciação, problemas de contagens, entre outros, os quais podem ser abordados com o intuito de introduzir tal conteúdo ou mesmo aprofundá-lo. Por fim, faremos uso de Indução Matemática para demonstrar algumas destas fórmulas encontradas.
This work consists the historic report of the origin of Fractal Geometry, and highlighted the figure of Benoît Mandelbrot, identified as pioneer in this area, whose fractal bears his name. Shows the pioneers fractals, as well as the construction of these using the computational tool "Asymptote". It must be said that, from the construction of these, it is noted, easily a intense use of contents present in the curriculum of basic education, such as the calculation of perimeter and area of plane figures, potentiation, in counts problems, among others, they can be addressed in order to start the study of such content or to same deepen it. Finally, we will make use of Mathematical Induction to demonstrate some of the formulas found.
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7

Custodio, Ricardo Felipe. "Análise não-linear no reconhecimento de padrões sonoros : estudo de caso para sons pulmonares." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 1999. http://hdl.handle.net/10183/17974.

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Nas últimas décadas uma considerável parcela das pesquisas nas áreas de Física e Matemática tem sido dedicada ao estudo de fenômenos não lineares. Uma possível explicação para isso foi o rápido desenvolvimento de sistemas computacionais, tanto em nível de hardware quanta em nível de software, algoritmos e técnicas de programação que propiciaram ao homem maiores facilidades no tratamento de sistemas não lineares, o que levou a um maior grau de entendimento de sua complexidade. Geralmente, aos sistemas não lineares esta associada uma geometria irregular, onde comum o aparecimento de regimes caóticos, com um conjunto atrator de órbitas cuja dimensão não é um inteiro positivo, mas sim um número real positivo. Por esta razão, tais atratores, são denominados estranhos e ditos possuírem uma geometria fractal. É possível, através de métodos cuidadosamente desenvolvidos, estimar-se as dimensões associadas à dinâmica de séries temporais. Uma das séries de maior dificuldade de análise através do computador, e de particular interesse na medicina, são as séries de sons pulmonares humanos. Desde quando o estetoscópio foi inventado até os dias de hoje não há uma ferramenta plenamente confiável para a análise destas séries. Recentemente, temos trabalhado com estas séries e verificamos que há uma geometria fractal. Esta tese propõe a utilização da análise não-linear para identificação de padrões sonoros. Além da geometria fractal, a análise por wavelets tem sido utilizada no estudo de sinais complexos, sobretudo naqueles que apresentam estruturas fractais. O conjunto de filtros construído através da translação, expansão ou compressão de uma função wavelet mãe tem uma estrutura auto-similar, mostrando-se particularmente apropriado para a verificação da auto similaridade dos sons. A técnica da estimativa dos expoentes de Lyapunov dependente do tempo, a qual e desenvolvida na tese, tem se mostrado bastante adequada para identificação de padrões sonoros de origem pulmonar.
It has been observed that in the last decades, considerable amount of the research in the areas of Physics and Mathematics have been dedicated to the study of nonlinear phenomena. A possible explanation for this fact is the fast development of computational systems occurring in the level of the hardware as in computer languages, algorithms and programming techniques. These developments propitiated to the researchers a broader contact with nonlinear systems, which led to a better understanding of their complexity. In general, for nonlinear systems an irregular geometry is associated, where the appearance of chaotic regimes has an associated attractor set of orbits whose dimension is not a positive integer number, but a real one. Such attractors are called strange and said to possess fractal geometry. It is possible, through carefully developed methods, to estimate the dimension associated to the dynamics of time series. One of the series with high difficulty to be analyzed through a computer and of particular interest in medicine, is the time series generated out of human pulmonary sounds. Since the creation of the stethoscope, there is not yet a fully trustworthy tool for the lung sound analysis. Recently, we have studied these series and verified that they have a fractal geometry nature. The purpose of this thesis is to investigate non-linear analysis as a tool for pattern recognition in lung sounds. In addition to fractal geometry, the wavelet analysis has been used in the study of complex signs, in particular for those presenting a fractal structure. The set of filters constructed through the translation, expansion or compression of a function wavelet mother has an auto-similar structure, being particularly useful for the verification of self similarity of pulmonary sounds. The largest time dependent Lyapunov exponent estimation technique that has been proposed in this thesis has shown a high degree of confidence for the identification of lung sound patterns.
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8

Barros, Marcelo Miranda. "A dimensão fractal de fenômenos físicos dos sistemas geométricos fractais." Laboratório Nacional de Computação Científica, 2011. https://tede.lncc.br/handle/tede/158.

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The physics associated to geometric fractal systems is investigated. Discrete and continuous models, from statics and dynamics as well as computational and physical experiments help defining and evaluating dimensions associated to the physics of the systems. It is shown the relation between the mechanical dimensions (flexibility and dynamical) and the geometric fractal dimension. Moments of order 2 are shown to be useful in identifying randomness in the generation process of geometry. Mixed fractals are defined by more than one law of formation or organization: the case of alternating laws is studied. Weierstrass-Mandelbrot systems (SWM) are defined through a properly summation of senoidal functions, each with amplitude proportional to the associated period squared. A dimension for SWM is defined. An origin for 1/f noises from SWM is proposed. A new method to determine fractal dimensions is proposed. It consists in taking successive samples from the object and relating a given property with the size of the sample, called sampling method. It is tested with Koch, mixed and Weierstrass systems. Branched systems (fractal trees) in 2D are studied under the solid mechanics approach. It is shown that Murray's law corresponds to the state of constant normal stress in solids. A mechanical efficiency (stiffness x weight) of beams with cross sections given by a Sierpinski system is studied. Defined by the proportion between geometric mechanical stiffness (moment of inertia) and the cross section area squared, the efficiency is shown to grow with the advance of orders. In this way, the more porous the more efficient is the beam.
Estuda-se a física associada a sistemas geométricos fractais. Por meio de modelos discreto e contínuo, da estática e da dinâmica e de experimentos computacionais e físicos definem-se e avaliam-se dimensões associadas à física dos sistemas. Mostra-se a relação existente entre as dimensões da mecânica (da flexibilidade e da dinâmica) e a dimensão fractal geométrica. Nota-se que momentos de ordem 2 são úteis na identificação de aleatoriedade no processo de geração da geometria. Definem-se fractais mistos como aqueles que apresentam mais de uma lei de formação ou organização. Estudou-se o caso que alterna entre duas ou mais leis. Definem-se sistemas de Weierstrass-Mandelbrot (SWM) a partir da soma apropriada de funções senoidais, cada uma com amplitude proporcional ao quadrado do período associado. Define-se uma dimensão para os SWM. Propõe-se uma origem para os ruídos do tipo 1/f a partir de SWM. Propõe-se um método para estimação de dimensões fractais a partir da relação entre amostras sucessivas do objeto, denominado método da amostragem. Testa-se numericamente o método nos sistemas de Koch, misto e Weierstrass, com êxito. Estuda-se sistemas ramificados (árvores fractais) em 2D sob a abordagem da mecânica dos sólidos. Mostra-se que a lei de Murray tem sua equivalência na mecânica dos sólidos pelo estado de tensão normal constante em todas as ordens. É estudada a eficiência mecânica (rigidez x peso) de vigas com seções transversais dadas por um sistema de Sierpinski. Mostra-se que a eficiência definida pela razão entre a rigidez mecânica geométrica (momento de inércia) e o quadrado da área da seção transversal aumenta com o avanço nas ordens. Desta forma, quanto mais porosa mais eficiente é a viga
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Mattos, Sergio Henrique Vannucchi Leme de. "Complexidade dos padrões espaciais e espectrais de fitofisionomias de cerrado no estado de São Paulo." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/287400.

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Orientador: Archimedes Perez Filho
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Geociências
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Resumo: O Cerrado se constitui em um mosaico de fitofisionomias que se distinguem entre si pelos padrões espaciais que apresentam. Apesar das características e dinâmica do Cerrado apontarem que ele deve ser compreendido como um sistema complexo, o paradigma da complexidade e os métodos dele derivados ainda são pouco aproveitados no estudo do Cerrado. O objetivo geral da presente pesquisa foi avaliar a complexidade dos padrões espaciais (texturais) e espectrais de fitofisionomias de Cerrado a fim de verificar quais propriedades relativas à sua organização e dinâmica tais padrões podem revelar. Para tanto, foram usadas imagens do sensor multi-espectral Aster relativas a unidades de conservação do estado de São Paulo situadas nos municípios de Assis, Itirapina e Luiz Antônio. Medidas de complexidade baseadas na entropia informacional e de dimensão fractal foram aplicadas às imagens e respectivas curvas de respostas espectrais de fisionomias de Cerrado presentes nas localidades estudadas. Uma área-teste foi selecionada para se avaliar as correlações entre fisionomias, seus padrões texturais e espectrais e fatores pedológicos e geomorfológicos. Os resultados obtidos para as análises textural e espectral de imagens do sensor mostram que cada fisionomia apresenta valores estatisticamente iguais nas diferentes extensões avaliadas, revelando a auto-similaridade dos padrões em várias escalas. Houve também uma forte tendência de cada fisionomia obter os mesmos valores em diferentes localidades, o que permite estabelecer intervalos de valores típicos para cada uma, independentemente da área estudada. Por outro lado, nenhuma medida foi totalmente eficiente em distinguir as diferentes fisionomias de Cerrado de uma mesma localidade, principalmente aquelas com padrões mais semelhantes. Quanto às correlações, foram encontradas associações significativas entre fisionomias e fatores pedogeomorfológicos, porém não houve nenhum fator que respondesse exclusivamente pelas características vegetacionais de determinada fisionomia e nem pela configuração de seus padrões, apontando que elas dependem das inter-relações de vários fatores. Pelos resultados alcançados na presente pesquisa, confirma-se que o Cerrado é um sistema dinâmico complexo e que, portanto, o entendimento de sua organização e dinâmica deve-se pautar nos conceitos, modelos e métodos próprios do paradigma da complexidade. Uma característica marcante aqui revelada é a invariância escalar dos padrões, a qual é indicativa de que o Cerrado apresentaria criticalidade autoorganizada, sendo algumas de suas fisionomias representativas de estados próximos a pontos críticos. Conforme apontam os resultados, fisionomias intermediárias, como cerrado denso, cerrado ss e campo cerrado, apresentariam esse tipo de organização, enquanto fisionomias situadas próximas aos extremos do gradiente vegetacional do Cerrado (como campo sujo e cerradão) representariam estados mais estáveis do sistema
Abstract: Brazilian Cerrado is characterized as a mosaic of phytophysiognomies with different spatial patterns. Despite of its characteristics and dynamics suggest that the Cerrado should be understood as a complex system, the complexity paradigm and methodologies are not widely used in Cerrado studies yet. The general objective of this research has been to evaluate the complexity of spatial (textural) and spectral patterns of Cerrado's phytophysiognomies with the purpose of verifying which properties related to organization and dynamic those patterns could show. For this, images from Aster multispectral sensor were used to study Cerrado areas in conservation reserves at São Paulo State (Brazil). Complexity measures based on information entropy and fractal dimension were applied to physiognomies images and to the correspondent spectral response curves. A test-area was selected to evaluate correlations between physiognomies, their textural and spectral patterns, and pedological-geomorphological factors. Textural and spectral image analysis pointed out that each physiognomy presents statistically equal values for different extents considered, showing self-similarity patterns in several scales. There was also a strong tendency that each physiognomy presents the same values at different localities, attributing a typical range of values for each one, independent of its localization. However, no measure was totally efficient to distinguish different Cerrado's physiognomies, especially those with similar patterns. For correlations, significant associations between physiognomies and pedological-geomorphological factors were founded, but here there was no factor responding exclusively for vegetation characteristics of a given physiognomy and for pattern configurations as well, suggesting that they depend on interrelations of many factors. Results obtained in this work confirm that Cerrado is a complex dynamical system and, therefore, comprehension of its organization and dynamics demands concepts, models, and methods related to complexity paradigm. A remarkable characteristic that was revealed here is about scale-invariance of patterns, which indicates that Cerrado presents self-organization criticality. As results show, this type of organization occurs in intermediary physiognomies, while grassland and forest physiognomies are more stable
Doutorado
Análise Ambiental e Dinâmica Territorial
Doutor em Ciências
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Wang, JingLing. "Topics in Fractal Geometry." Thesis, University of North Texas, 1994. https://digital.library.unt.edu/ark:/67531/metadc279332/.

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Книги з теми "FRACTAN"

1

Uribe, Diego. Fractal cuts: Exploring the magic of fractals with pop-up designs. 2nd ed. Diss, Norfolk, England: Tarquin, 1995.

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Uribe, Diego. Fractal cuts: Exploring the magic of fractals with pop-up designs. Diss, England: Tarquin, 1998.

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3

Kozlov, G. V. Fractal analysis and synergetics of catalysis in nanosystems. New York: Nova Science Publishers, 2008.

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Fractal. [Montevideo, Uruguay]: Ático Ediciones, 2008.

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5

Benítez, Luis. Fractal. Buenos Aires, Argentina: Ediciones Correo Latino, 1992.

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6

Fernández-Martínez, Manuel, Juan Luis García Guirao, Miguel Ángel Sánchez-Granero, and Juan Evangelista Trinidad Segovia. Fractal Dimension for Fractal Structures. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-16645-8.

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Mark, Peterson, and Waite Group, eds. The Waite Group's fractal creations: Explore the magic of fractals on your PC. Mill Valley, CA: Waite Group Press, 1991.

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8

Leyb, Aryeh Y. Yofi ensofi: Mavo li-fraḳṭalim be-madaʻ, be-omanut uve-filosofyah. Migdal: Ḳesem-hafaḳot defus, 1999.

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9

Massopust, Peter Robert. Fractal functions, fractal surfaces, and wavelets. San Diego: Academic Press, 1994.

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Lapidus, Michel L., Goran Radunović, and Darko Žubrinić. Fractal Zeta Functions and Fractal Drums. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-44706-3.

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Частини книг з теми "FRACTAN"

1

Hergarten, Stefan. "Fractals and Fractal Distributions." In Self-Organized Criticality in Earth Systems, 1–24. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04390-5_1.

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Southern, B. W., and A. R. Douchant. "Phonon-Fracton Crossover on Fractal Lattices." In Scaling Phenomena in Disordered Systems, 365–69. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4757-1402-9_29.

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Courtens, Eric, and René Vacher. "Fractons in Real Fractals." In Random Fluctuations and Pattern Growth: Experiments and Models, 20–26. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2653-0_4.

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Borodich, Feodor M. "Fractals and fractal scaling in fracture mechanics." In Fracture Scaling, 239–59. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4659-3_13.

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Cattani, Carlo. "Wavelet Based Approach to Fractals and Fractal Signal Denoising." In Transactions on Computational Science VI, 143–62. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-10649-1_9.

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Sapoval, Bernard. "Fractal Electrodes, Fractal Membranes, and Fractal Catalysts." In Fractals and Disordered Systems, 207–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-51435-7_6.

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7

Deng, Ke. "Fractal." In Encyclopedia of Database Systems, 1516–17. New York, NY: Springer New York, 2018. http://dx.doi.org/10.1007/978-1-4614-8265-9_541.

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Deng, Ke. "Fractal." In Encyclopedia of Database Systems, 1168–69. Boston, MA: Springer US, 2009. http://dx.doi.org/10.1007/978-0-387-39940-9_541.

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9

La Mantia, Francesco. "Fractal." In Lecture Notes in Morphogenesis, 209–14. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-51324-5_45.

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Havil, Julian. "Fractran." In Verblüfft?!, 155–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-78236-0_15.

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Тези доповідей конференцій з теми "FRACTAN"

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DA CRUZ, W. "FRACTAL STATISTICS, FRACTAL INDEX AND FRACTONS." In Proceedings of the 2000 Londrina Workshop. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810366_0007.

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Chavka, G. G. "Beauty of fractals design of fractal antennas." In 2007 6th International Conference on Antenna Theory and Techniques. IEEE, 2007. http://dx.doi.org/10.1109/icatt.2007.4425120.

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3

Craciunescu, Oana, Shiva K. Das, and Mark W. Dewhirst. "Three-Dimensional Microvascular Networks Fractal Structure: Potential for Tissue Characterization?" In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0571.

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Abstract It has been shown that the fractal dimension of 2D microvascular networks can discriminate between normal vs. tumor tissue (Gazit et al., 1995, 1997). We have determined the fractal characteristics of five 3D microvascular networks and conclude on the correlation between the computed fractal characteristics and the nature of the tissue of origin. The networks considered in the fractal analysis study were one rat tumor network (RT), one nude mouse tumor (NMT), one hamster skeletal muscle (HSM), one rat cremaster (RC), and one rat cerebral cortex (RCC). The networks were digitized in a 3D lattice starting from the known length, diameter and position of each segment in the network. The digitization process was performed such that the ratio between the initial occupation fraction of the vessels in the network and the occupation fraction after digitization is close to one. The resultant cubic lattices were analyzed using the concept of asymptotic fractals. The fractal dimension df, and the minimum path dimension dmin (that measures the tortuosity of the vessels) were determined for all the networks. Fractal behavior was noticed on length scales from 1–1.3 decades, dependent on the actual network size. The values obtained for the fractal dimension for the RT, NMT, RCC, RC and HSM microvascular networks are respectively, 2.6, 2.2, 2.29, 2.12 and 2.08. For the minimum dimension the values obtained are: 1.2, 1.1, 1.16, 1.1, and 1.1. By analyzing the available data, preliminary conclusions lead us to believe that a correlation between the fractal characteristics and tissue type might exist. Another important aspect is that the 3D RT microvascular network seems to have a percolation-like scaling which can be beneficial in monitoring the growing pattern using invasion percolation growth models. However, for general conclusions to be drawn, more networks have to be analyzed.
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Novak, Miroslav M. "Paradigms of Complexity." In Conference on Fractal 2000. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789814525879.

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Goodey, Paul. "The determination of convex bodies from the size and shape of their projections and sections." In Convex and Fractal Geometry. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2009. http://dx.doi.org/10.4064/bc84-0-1.

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Herburt, Irmina, Maria Moszyńska, and Dorette Pronk. "Fractal star bodies." In Convex and Fractal Geometry. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2009. http://dx.doi.org/10.4064/bc84-0-10.

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Navascués, M. A., and M. V. Sebastián. "Fractal-classic interpolants." In Convex and Fractal Geometry. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2009. http://dx.doi.org/10.4064/bc84-0-11.

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Taylor, Tara D. "Topological bar-codes of fractals: a new characterization of symmetric binary fractal trees." In Convex and Fractal Geometry. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2009. http://dx.doi.org/10.4064/bc84-0-12.

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Grzybowski, Jerzy, Diethard Pallaschke, and Ryszard Urbański. "Minimal pairs of bounded closed convex sets as minimal representations of elements of the Minkowski–Rådström–Hörmander spaces." In Convex and Fractal Geometry. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2009. http://dx.doi.org/10.4064/bc84-0-2.

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Bogdewicz, Agnieszka, and Jerzy Grzybowski. "Pairs of convex bodies in a hyperspace over a Minkowski two-dimensional space joined by a unique metric segment." In Convex and Fractal Geometry. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2009. http://dx.doi.org/10.4064/bc84-0-5.

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Звіти організацій з теми "FRACTAN"

1

Chamberlin, Ralph V. Fracton Dynamics on Fractal Networks. Fort Belvoir, VA: Defense Technical Information Center, July 1988. http://dx.doi.org/10.21236/ada197166.

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Chamberlin, Ralph V. Fracton Dynamics. Fort Belvoir, VA: Defense Technical Information Center, June 1990. http://dx.doi.org/10.21236/ada254624.

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Fisher, Yuval, and Albert Lawrence. Fractal Image Encoding. Fort Belvoir, VA: Defense Technical Information Center, July 1992. http://dx.doi.org/10.21236/ada253892.

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Fisher, Yuval, and Albert Lawrence. Fractal Image Encoding. Fort Belvoir, VA: Defense Technical Information Center, March 1992. http://dx.doi.org/10.21236/ada248003.

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NETROLOGIC INC SAN DIEGO CA. Fractal Image Encoding. Fort Belvoir, VA: Defense Technical Information Center, November 1991. http://dx.doi.org/10.21236/ada243620.

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Fisher, Yuval, and Albert Lawrence. Fractal Image Encoding. Fort Belvoir, VA: Defense Technical Information Center, November 1990. http://dx.doi.org/10.21236/ada229910.

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Lorimer, Nancy D., Robert G. Haight, and Rolfe A. Leary. The fractal forest: fractal geometry and applications in forest science. St. Paul, MN: U.S. Department of Agriculture, Forest Service, North Central Forest Experiment Station, 1994. http://dx.doi.org/10.2737/nc-gtr-170.

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Bak, P., and K. Chen. Fractal dynamics of earthquakes. Office of Scientific and Technical Information (OSTI), May 1995. http://dx.doi.org/10.2172/80934.

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Orbach, Raymond L. Transport on Fractal Networks. Fort Belvoir, VA: Defense Technical Information Center, September 1991. http://dx.doi.org/10.21236/ada253797.

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Mandelbrot, Benoit B. Fractal Geometry in Physics. Fort Belvoir, VA: Defense Technical Information Center, September 1993. http://dx.doi.org/10.21236/ada273271.

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