Homotopy Theory
Mostrando 1-12 de 14 artigos, teses e dissertações.
-
1. Analytical Couple-stress Solution for Size-dependent Large-amplitude Vibrations of FG Tapered-nanobeams
Abstract In this paper, analytical couple-stress solution for size-dependent large-amplitude vibrations of FG (functionally-graded) tapered-nanobeams is presented. Using the modified couple-stress theory, the small scale effects are accounted for. Employing the Homotopy-Pade Analysis Method, efficient and accurate analytical expressions for the deflection an
Lat. Am. j. solids struct.. Publicado em: 2016-01
-
2. Dynamic pull-in instability of geometrically nonlinear actuated micro-beams based on the modified couple stress theory
This paper investigates the dynamic pull-in instability of vibrating micro-beams undergoing large deflection under electrosatically actuation. The governing equation of motion is derived based on the modified couple stress theory. Homotopy Perturbation Method is employed to produce the high accuracy approximate solution as well as the second-order frequency-
Lat. Am. j. solids struct.. Publicado em: 2014-10
-
3. Recent developments of some asymptotic methods and their applications for nonlinear vibration equations in engineering problems: a review
This review features a survey of some recent developments in asymptotic techniques and new developments, which are valid not only for weakly nonlinear equations, but also for strongly ones. Further, the achieved approximate analytical solutions are valid for the whole solution domain. The limitations of traditional perturbation methods are illustrated, vario
Lat. Am. j. solids struct.. Publicado em: 2012-04
-
4. Homotopy between trajectories of equations driven by rough paths / Homotopia entre trajetorias de equações dirigidas por caminhos rugosos
Este trabalho aborda homotopias não usuais entre soluções de equações pertencentes a uma coleção de equações. Cada coleção de equações é denominada pelo termo sistema e neste trabalho são considerados dois tipos de sistemas, os sistemas de Young e os sistemas rugosos. Sob determinadas condições, mostramos que um conjunto de pontos acessívei
Publicado em: 2009
-
5. The Conley index for discontinuous vector fields / O indice de Conley para campos de vetores descontinuos
The Conley index is a used as a topological invariant in the analysis of the qualitative behavior of dynamical systems. lnitially the theory was developed for continuous flows in finite dimensional spaces and later extended to the infinite dimensional setting as well as to the discrete case. ln this work, we present a Conley index theory for a class of disco
Publicado em: 2008
-
6. Simple-homotopy theory and Whitehead torsion / Teoria de homotopia simples e torção de Whitehead
Este trabalho apresenta a teoria de homotopia simples, desenvolvida por J. H. C. Whitehead, com o objetivo de obter um método para classificar espaços com o mesmo tipo de homotopia. Com esta motivação, Whitehead introduz o conceito de equivalência de homotopia simples entre complexos simpliciais, que posteriormente é generalizado para complexos CW, esp
Publicado em: 2007
-
7. Espaço de configurações e OCHA / Configuration sapces and OCHA
Esta tese consiste do estudo das OCHAs (Open-Closed Homotopy Algebras) sob os pontos de vista algébrico e geométrico. São demonstrados essencialmente dois resultados novos. O primeiro refere-se à definição de OCHA através de coderivações. Mais especificamente, provamos que qualquer coderivação D E Coderl (sc Hc 0 TC Ho) de grau 1 satisfazendo D2 =
Publicado em: 2006
-
8. Homotopia de trajetorias de sistemas dinamicos / Homotopy of trajectories of dynamical systems
Este trabalho aborda a homotopia monotônica, uma variante apropriada de homotopia, de trajetórias de sistemas de controle. Primeiro é introduzido um conceito de regularidade para funções de controle e depois é considerada a definição de homotopia monotônica de trajetórias regulares de um sistema de controle sigma evoluindo sobre uma variedade M. Em
Publicado em: 2005
-
9. O Teorema do h-cobordismo e a conjectura generalizada de PoincarÃ
The work of the following way In the first chapter it is developed to a list definitions and theorems that we found but important on subjects such as Topology, Differential Manifolds and aspects of the Algebraic Topology, which will be used in the following chapters. We considered advisable to indicate the demonstrations of the theorems, thus, like commentar
Publicado em: 2005
-
10. Classificação dos digrafos semicompletos hamiltonianos
The main target in this work is to present a classification for the hamiltonian semicomplete digraphs, extending the results previously obtained for the tournaments. In this way we apply the regular homotopy of finite directed graphs theory developed by Davide G. Demaria, presenting results on simply disconnected tournaments, on the caracterization of tourna
Publicado em: 2000
-
11. A geometria e os instantons da teoria de Yang &Mills SU(2)
Classical Yang &Mills Theory is presented from a geometrical viewpoint. Many arguments leading to the "physical reality" of Yang &Mills potentials are given. Further, we specialize to SU(2) Lie group theory over Euclidean space-time. Instantons of this theory are defined and a way to compute them is shown. It is also given an introduction to Homotopy theory,
Publicado em: 1997
-
12. Link homotopy.
Link homotopy considers systems of pairwise disjoint singular spheres up to deformations through such "link maps." In a large range of higher dimensions the resulting link homotopy groups are determined and described in the language of standard homotopy theory.