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1.
Edemerson Solano Batista de Morais.
Estudo *de* Fractalidade e Evolução Dinâmica *de* Sistemas Complexos.

Degree: 2007, Universidade Federal do Rio Grande do Norte

URL: http://bdtd.bczm.ufrn.br/tedesimplificado//tde_busca/arquivo.php?codArquivo=1629

In this work, the study of some complex systems is done with use of two distinct procedures. In the first part, we have studied the usage of Wavelet transform on analysis and characterization of (multi)fractal time series. We have test the reliability of Wavelet Transform Modulus Maxima method (WTMM) in respect to the multifractal formalism, trough the calculation of the singularity spectrum of time series whose fractality is well known a priori. Next, we have use the Wavelet Transform Modulus Maxima method to study the fractality of lungs crackles sounds, a biological time series. Since the crackles sounds are due to the opening of a pulmonary airway bronchi, bronchioles and alveoli which was initially closed, we can get information on the phenomenon of the airway opening cascade of the whole lung. Once this phenomenon is associated with the pulmonar tree architecture, which displays fractal geometry, the analysis and fractal characterization of this noise may provide us with important parameters for comparison between healthy lungs and those affected by disorders that affect the geometry of the tree lung, such as the obstructive and parenchymal degenerative diseases, which occurs, for example, in pulmonary emphysema. In the second part, we study a site percolation model for square lattices, where the percolating cluster grows governed by a control rule, corresponding to a method of automatic search. In this model of percolation, which have characteristics of self-organized criticality, the method does not use the automated search on Leaths algorithm. It uses the following control rule: pt+1 = pt + k(Rc − Rt), where p is the probability of percolation, k is a kinetic parameter where 0 <k <1 and R is the fraction of percolating finite square lattices with side L, LxL. This rule provides a time series corresponding to the dynamical evolution of the system, in particular the likelihood of percolation p. We proceed an analysis of scaling of the signal obtained in this way. The model used here enables the study of the automatic search method used for site percolation in square lattices, evaluating the dynamics of their parameters when the system goes to the critical point. It shows that the scaling of , the time elapsed until the system reaches the critical point, and tcor, the time required for the system loses its correlations, are both inversely proportional to k, the kinetic parameter of the control rule. We verify yet that the system has two different time scales after : one in which the system shows noise of type 1 f , indicating to be strongly correlated. Another in which it shows white noise, indicating that the correlation is lost. For large intervals of time the dynamics of the system shows ergodicity

Neste trabalho, o estudo de alguns sistemas complexos é feito com a utilização de dois procedimentos distintos. Na primeira parte, estudamos a utilização da transformada Wavelet na análise e caracterização (multi)fractal de séries temporais. Testamos a confiabilidade do Método do Máximo do Módulo da…

Subjects/Keywords: Crackles; Coeficientes de wavelet; MMTW; Multifractais; Ruídos de crepitação; Teoria de percolação; Criticalidade auto-organizada; FISICA; Wavelet coefficients; WTMM; Multifractals; Percolation theory; SOC

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Morais, E. S. B. d. (2007). Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos. (Thesis). Universidade Federal do Rio Grande do Norte. Retrieved from http://bdtd.bczm.ufrn.br/tedesimplificado//tde_busca/arquivo.php?codArquivo=1629

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Morais, Edemerson Solano Batista de. “Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos.” 2007. Thesis, Universidade Federal do Rio Grande do Norte. Accessed March 19, 2019. http://bdtd.bczm.ufrn.br/tedesimplificado//tde_busca/arquivo.php?codArquivo=1629.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Morais, Edemerson Solano Batista de. “Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos.” 2007. Web. 19 Mar 2019.

Vancouver:

Morais ESBd. Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos. [Internet] [Thesis]. Universidade Federal do Rio Grande do Norte; 2007. [cited 2019 Mar 19]. Available from: http://bdtd.bczm.ufrn.br/tedesimplificado//tde_busca/arquivo.php?codArquivo=1629.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Morais ESBd. Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos. [Thesis]. Universidade Federal do Rio Grande do Norte; 2007. Available from: http://bdtd.bczm.ufrn.br/tedesimplificado//tde_busca/arquivo.php?codArquivo=1629

Not specified: Masters Thesis or Doctoral Dissertation

Universidade do Rio Grande do Norte

2.
Morais, Edemerson Solano Batista de.
Estudo *de* Fractalidade e Evolução Dinâmica *de* Sistemas Complexos
.

Degree: 2007, Universidade do Rio Grande do Norte

URL: http://repositorio.ufrn.br/handle/123456789/18610

In this work, the study of some complex systems is done with use of two distinct procedures. In the first part, we have studied the usage of Wavelet transform on analysis and
characterization of (multi)fractal time series. We have test the reliability of Wavelet Transform Modulus Maxima method (WTMM) in respect to the multifractal formalism, trough the calculation of the singularity spectrum of time series whose fractality is well known a priori. Next, we have use the Wavelet Transform Modulus Maxima method to study the fractality of lungs crackles sounds, a biological time series. Since the crackles sounds are due to the opening of a pulmonary airway bronchi, bronchioles and alveoli which was initially closed, we can get information on the phenomenon of the airway opening cascade of the whole lung. Once this phenomenon is associated with the pulmonar
tree architecture, which displays fractal geometry, the analysis and fractal characterization of this noise may provide us with important parameters for comparison between healthy
lungs and those affected by disorders that affect the geometry of the tree lung, such as the obstructive and parenchymal degenerative diseases, which occurs, for example, in pulmonary emphysema. In the second part, we study a site percolation model for square lattices, where the
percolating cluster grows governed by a control rule, corresponding to a method of automatic search. In this model of percolation, which have characteristics of self-organized
criticality, the method does not use the automated search on Leaths algorithm. It uses the following control rule: pt+1 = pt + k(Rc − Rt), where p is the probability of percolation,
k is a kinetic parameter where 0 < k < 1 and R is the fraction of percolating finite square lattices with side L, LxL. This rule provides a time series corresponding to the dynamical evolution of the system, in particular the likelihood of percolation p. We proceed an analysis of scaling of the signal obtained in this way. The model used here enables the study of the automatic search method used for site percolation in square lattices, evaluating the dynamics of their parameters when the system goes to the critical point. It shows that the scaling of , the time elapsed until the system reaches the critical point, and tcor, the time required for the system loses its correlations, are both inversely proportional to k, the kinetic parameter of the control rule. We verify yet that the system has two different time scales after: one in which the system shows noise of type 1 f , indicating to be strongly correlated. Another in which it shows white noise, indicating that the correlation is lost. For large intervals of time the dynamics of the system shows ergodicity
*Advisors/Committee Members: Lucena, Liacir dos Santos (advisor), CPF:00405663404 (advisor), http://lattes.cnpq.br/7151949476055522 (advisor).*

Subjects/Keywords: Coeficientes de wavelet; MMTW; Multifractais; Ruídos de crepitação; Teoria de percolação; Criticalidade auto-organizada; Wavelet coefficients; WTMM; Multifractals; Crackles; Percolation theory; SOC

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Morais, E. S. B. d. (2007). Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos . (Thesis). Universidade do Rio Grande do Norte. Retrieved from http://repositorio.ufrn.br/handle/123456789/18610

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Morais, Edemerson Solano Batista de. “Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos .” 2007. Thesis, Universidade do Rio Grande do Norte. Accessed March 19, 2019. http://repositorio.ufrn.br/handle/123456789/18610.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Morais, Edemerson Solano Batista de. “Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos .” 2007. Web. 19 Mar 2019.

Vancouver:

Morais ESBd. Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos . [Internet] [Thesis]. Universidade do Rio Grande do Norte; 2007. [cited 2019 Mar 19]. Available from: http://repositorio.ufrn.br/handle/123456789/18610.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Morais ESBd. Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos . [Thesis]. Universidade do Rio Grande do Norte; 2007. Available from: http://repositorio.ufrn.br/handle/123456789/18610

Not specified: Masters Thesis or Doctoral Dissertation

Universidade do Rio Grande do Norte

3.
Morais, Edemerson Solano Batista de.
Estudo *de* Fractalidade e Evolução Dinâmica *de* Sistemas Complexos
.

Degree: 2007, Universidade do Rio Grande do Norte

URL: http://repositorio.ufrn.br/handle/123456789/18610

In this work, the study of some complex systems is done with use of two distinct procedures. In the first part, we have studied the usage of Wavelet transform on analysis and
characterization of (multi)fractal time series. We have test the reliability of Wavelet Transform Modulus Maxima method (WTMM) in respect to the multifractal formalism, trough the calculation of the singularity spectrum of time series whose fractality is well known a priori. Next, we have use the Wavelet Transform Modulus Maxima method to study the fractality of lungs crackles sounds, a biological time series. Since the crackles sounds are due to the opening of a pulmonary airway bronchi, bronchioles and alveoli which was initially closed, we can get information on the phenomenon of the airway opening cascade of the whole lung. Once this phenomenon is associated with the pulmonar
tree architecture, which displays fractal geometry, the analysis and fractal characterization of this noise may provide us with important parameters for comparison between healthy
lungs and those affected by disorders that affect the geometry of the tree lung, such as the obstructive and parenchymal degenerative diseases, which occurs, for example, in pulmonary emphysema. In the second part, we study a site percolation model for square lattices, where the
percolating cluster grows governed by a control rule, corresponding to a method of automatic search. In this model of percolation, which have characteristics of self-organized
criticality, the method does not use the automated search on Leaths algorithm. It uses the following control rule: pt+1 = pt + k(Rc − Rt), where p is the probability of percolation,
k is a kinetic parameter where 0 < k < 1 and R is the fraction of percolating finite square lattices with side L, LxL. This rule provides a time series corresponding to the dynamical evolution of the system, in particular the likelihood of percolation p. We proceed an analysis of scaling of the signal obtained in this way. The model used here enables the study of the automatic search method used for site percolation in square lattices, evaluating the dynamics of their parameters when the system goes to the critical point. It shows that the scaling of , the time elapsed until the system reaches the critical point, and tcor, the time required for the system loses its correlations, are both inversely proportional to k, the kinetic parameter of the control rule. We verify yet that the system has two different time scales after: one in which the system shows noise of type 1 f , indicating to be strongly correlated. Another in which it shows white noise, indicating that the correlation is lost. For large intervals of time the dynamics of the system shows ergodicity
*Advisors/Committee Members: Lucena, Liacir dos Santos (advisor), CPF:00405663404 (advisor), http://lattes.cnpq.br/7151949476055522 (advisor).*

Subjects/Keywords: Coeficientes de wavelet; MMTW; Multifractais; Ruídos de crepitação; Teoria de percolação; Criticalidade auto-organizada; Wavelet coefficients; WTMM; Multifractals; Crackles; Percolation theory; SOC

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Morais, E. S. B. d. (2007). Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos . (Doctoral Dissertation). Universidade do Rio Grande do Norte. Retrieved from http://repositorio.ufrn.br/handle/123456789/18610

Chicago Manual of Style (16^{th} Edition):

Morais, Edemerson Solano Batista de. “Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos .” 2007. Doctoral Dissertation, Universidade do Rio Grande do Norte. Accessed March 19, 2019. http://repositorio.ufrn.br/handle/123456789/18610.

MLA Handbook (7^{th} Edition):

Morais, Edemerson Solano Batista de. “Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos .” 2007. Web. 19 Mar 2019.

Vancouver:

Morais ESBd. Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos . [Internet] [Doctoral dissertation]. Universidade do Rio Grande do Norte; 2007. [cited 2019 Mar 19]. Available from: http://repositorio.ufrn.br/handle/123456789/18610.

Council of Science Editors:

Morais ESBd. Estudo de Fractalidade e Evolução Dinâmica de Sistemas Complexos . [Doctoral Dissertation]. Universidade do Rio Grande do Norte; 2007. Available from: http://repositorio.ufrn.br/handle/123456789/18610