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Convergência para estados assintóticos em mapeamentos unidimensionais /Rando, Danilo Silva. January 2016 (has links)
Orientador: Edson Denis Leonel / Banca: Juliano Antônio de Oliveira / Banca: Ana Paula Mijolaro / Resumo: Neste trabalho investigaremos o comportamento do decaimento e relaxação para os pontos de equilíbrio, em especial em pontos de bifurcação, para uma família de mapeamentos discretos unidimensionais do tipo logístic-like. Faremos uma análise para três tipos de bifurcação: (i) transcrítica; (ii) forquilha e; (iii) duplicação de período. Discutiremos algumas hipóteses de escala que conduzem a uma lei de escala envolvendo três expoentes críticos. Próximo ao ponto fixo, a variável dinâmica varia muito lentamente. Essa propriedade permite transformar uma equação de diferenças, natural do mapeamento discreto, em uma equação diferencial ordinária (EDO). Resolvemos esta equação que fornece a evolução para o estado estacionário. Nossas simulações numéricas confirmam a previsão teórica e valida a aproximação acima mencionada / Abstract: In this work we investigate the behavior of the decay and relaxation to the equilibrium,especially at the bifurcation, for a family of one-dimensional discrete mappings, logistic-like. Our investigation consider three types of bifurcation: (i) transcritical; (ii) pitchforkand; (iii) period doubling. We discuss some scaling hypotheses leading to a scaling lawinvolving three critical exponents. Near the fixed points, the dynamical variable variesvery slowly. This property allows us to transform the equation of differences, hencenatural from discrete mappings, into an ordinary differential equation (ODE). We solvesuch equation which furnishes the evolution towards the stationary state. Our numericalsimulations confirm the theoretical results validating the above mentioned approximation / Mestre
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Forced Brakke flowsGraham, David(David Warwick),1976- January 2003 (has links)
For thesis abstract select View Thesis Title, Contents and Abstract
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Forced Brakke flowsGraham, David (David Warwick), 1976- January 2003 (has links)
Abstract not available
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Flow past a cylinder close to a free surfaceReichl, Paul,1973- January 2001 (has links)
Abstract not available
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Mean curvature flow with free boundary on smooth hypersurfacesBuckland, John A. (John Anthony), 1978- January 2003 (has links)
Abstract not available
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Development and implementation of real-time distributed network with the CAN protocolFord, Walter Davis. Gravagne, Ian A. January 2005 (has links)
Thesis (M.S.)--Baylor University, 2005. / Includes bibliographical references (p. 120-121).
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Renormalization and central limit theorem for critical dynamical systems with weak external random noiseDíaz Espinosa, Oliver Rodolfo, January 1900 (has links) (PDF)
Thesis (Ph. D.)--University of Texas at Austin, 2006. / Vita. Includes bibliographical references.
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Renormalization and central limit theorem for critical dynamical systems with weak external random noiseDíaz Espinosa, Oliver Rodolfo 28 August 2008 (has links)
Not available / text
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A study of the nonlinear dynamics nature of ECG signals using Chaos theoryTang, Man, 鄧敏 January 2005 (has links)
published_or_final_version / abstract / Electrical and Electronic Engineering / Master / Master of Philosophy
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Asymptotic analysis of singularly perturbed dynamical systems.Goswami, Amartya. January 2011 (has links)
According to the needs, real systems can be modeled at various level of resolution.
It can be detailed interactions at the individual level (or at microscopic level) or a
sample of the system (or at mesoscopic level) and also by averaging over mesoscopic
(structural) states; that is, at the level of interactions between subsystems of the original
system (or at macroscopic level).
With the microscopic study one can get a detailed information of the interaction but
at a cost of heavy computational work. Also sometimes such a detailed information is
redundant. On the other hand, macroscopic analysis, computationally less involved
and easy to verify by experiments. But the results obtained may be too crude for some
applications.
Thus, the mesoscopic level of analysis has been quite popular in recent years for
studying real systems. Here we will focus on structured population models where
we can observe various level of organization such as individual, a group of population,
or a community. Due to fast movement of the individual compare of the other
demographic processes (like death and birth), the problem is multiple-scale.
There are various methods to handle multiple-scale problem. In this work we will
follow asymptotic analysis ( or more precisely compressed Chapman–Enskog method)
to approximate the microscopic model by the averaged one at a given level of accuracy.
We also generalize our model by introducing reducible migration structure. Along
with this, considering age dependency of the migration rates and the mortality rates,
the thesis o ers improvement of the existing literature. / Thesis (Ph.D.)-University of KwaZulu-Natal, Westville, 2011.
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