308,597 research outputs found

    Karen Conley and E. Dale Conley Interview, December 6, 2001

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    Karen Conley recalls childhood memories of living in Coeur d’Alene, Idaho, before her family moved to the Swan Valley, area of Montana. She describes boarding in Missoula, Montana, with her sister so they could attend high school there. Conley and her husband Dale talk about the methods they use for smoking salmon and whitefish they caught in the Swan Valley, Montana area. They also describe getting electricity for the first time in Salmon Prairie. Karen talks about the annual Christmas bazaar and other dances that the Salmon Prairie Ladies’ Club held at the local schoolhouse. The Conleys reminisce about the different people who lived in the area and how difficult it was to get anywhere if someone got sick due to the lack of telephones. Karen recalls her parents’ cultural heritage, and she reflects on how the Swan Valley has changed and how fewer people in the area know each other.https://scholarworks.umt.edu/upperswanvalley_oralhistory/1026/thumbnail.jp

    Conley index for Gutierrez-Sotomayor flows

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    Neste trabalho, estudamos o Índice de Conley de um conjunto invariante isolado em relação a um fluxo contínuo, mas antes de abordar a Teoria de Conley exibimos dois outros índices como uma forma de motivação. Dentre estes outros índices, destacamos o Índice de Morse, que foi uma das inspirações para Conley desenvolver a sua teoria. Apresentamos as variedades Gutierrez-Sotomayor e os campos vetoriais contínuos Gutierrez-Sotomayor, bem como seus fluxos associados. Finalizamos o trabalho aplicando a teoria do índice de Conley para os fluxos Gutierrez-Sotomayor e mostramos alguns resultados importantes da junção dessas duas teorias, em especial, ressaltamos a Igualdade de Poincaré-Hopf.In this work, we study the Conley Index of an isolated invariant set with respect to a continuous flow, but before board Conleys Theory we show two other indexes as a form of motivation. Among these other indexes, we highlight the Morse Index, which was one of the inspirations for Conley to develop his theory. We present the Gutierrez-Sotomayor manifolds and the Gutierrez-Sotomayor continuous vector fields as well as their associated flows. We end this work by applying the Conley index to Gutierrez- Sotomayor flows and we show some important results of the junction of these two theories, in particular, we emphasize the Poincaré-Hopf Equality

    Jane Martin : Gathie's Cupboard 1988-1999 : Paintings, Drawings, and Prints

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    Catalogue to accompany Martin’s exhibition of paintings, drawings and prints which were inspired by Gathie Falk’s cupboard pieces. Conley situates the artist’s images of nude female torsos within the theoretical contexts of Freudian psychoanalysis and “écriture feminine.” The author also draws attention to the importance of feminine libidinal pleasure by comparing the play of meaning in Martin’s work with H. Cixous’ notion of “writing the body.” Issues of representation, sexuality, eroticism and fetishism are considered in relation to the following psychoanalytic concepts: repression, the uncanny and the Real. Includes list of works. Biographical notes. 20 bibl. ref

    The E-cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T2n

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    We give a new proof of the strong Arnold conjecture for 1-periodic solutions of Hamiltonian systems on tori, that was first shown by C. Conley and E. Zehnder in 1983. Our proof uses other methods and is shorter than the previous one. We first show that the E-cohomological Conley index, that was introduced by the first author recently, has a natural module structure. This yields a new cup-length and a lower bound for the number of critical points of functionals. Then an existence result for the E-cohomological Conley index, which applies to the setting of the Arnold conjecture, paves the way to a new proof of it on tori

    The E-cohomological Conley index, cup-lengths and the Arnold conjecture on T2n

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    We show that the E-cohomological Conley index, that was introduced by the first author recently, has a natural module structure. This yields a new cup-length and a lower bound for the number of critical points of functionals on Hilbert spaces. When applied to the setting of the Arnold conjecture, this paves the way to a short proof on tori, where it was first shown by C. Conley and E. Zehnder in 1983

    A Tale of Two Cities : Video Art in Alberta

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    Conley emphasizes the role of artist-run centres, as she traces the history of video activity in Edmonton and Calgary. Includes a selected videography of 12 artists' work and notes on 19 videotapes. 34 bibl. ref

    On the generic Conley conjecture

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    In this paper, we treat an open problem related to the number of periodic orbits of Hamiltonian diffeomorphisms on closed symplectic manifolds, so-called generic Conley conjecture. Generic Conley conjecture states that generically Hamiltonian diffeomorphisms have infinitely many simple contractible periodic orbits. We prove generic Conley conjecture for very wide classes of symplectic manifolds

    The Morse equation and the Conley index

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    O índice de Conley é uma ferramenta utilizada no estudo de sistemas dinâmicos. Em particular, as decomposições de Morse combinadas com uma apropriada versão do índice de Conley e uma correspondente equação de Morse freqüentemente nos permitem obter resultados de multiplicidade de soluções. Neste trabalho, apresentamos a teoria do índice de Conley e a equação de Morse associada a uma decomposição de Morse e aplicamos os resultados em equações diferenciais ordináriasThe Conley index is a well known tool used in the analysis of dynamical systems. In particular, Morse decompositions combined with an appropriate version of the Conley index and a corresponding Morse equation, often allow us to obtain multiplicity results for solutions. In this work we introduce the Conley index theory and the Morse equation relative to a Morse decomposition and apply the results to ordinary differential equation

    Conley index for attractors of differential inclusions

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    Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESThe present work deals with mathematical themes called Conley’s theory, differential inclu- sions and Morse theory inserted in this variant is the topological invariant for the region of discontinuity, the Conley index of discontinuous vector fields, where the discontinuities are concentrated on a surface. With this invariant it is possible to predict bifurcation results, as well as results of regularization of the discontinuous field. In Conley’s Theory, one doesn’t investigate only a single invariant set in a system; on the contrary, it is a decomposition of an invariant set into several “smaller” invariant subsets along with the orbits that connect these subsets. The methodology adopted for the research was based on the deductive analy- sis, a method that allowed the determination of the Conley index using tools of differential inclusions, index-pair and Morse theory to arrive at the determination of the homological in- dex.O presente trabalho trata de temas da matemática denominados a teoria de Conley, inclusões diferenciais e teoria de Morse inserido nesta variante encontra-se o invariante topológico pa- ra a região de descontinuidade, o índice de Conley de campos de vetores descontínuos, onde as descontinuidades estão concentradas numa superfície. Com este invariante é possível pre- ver resultados de bifurcação, bem como resultados de regularização de campos descontínuos. Na Teoria de Conley, não se investiga somente um único conjunto invariante em um siste- ma, pelo contrário, trata-se de uma decomposição de um conjunto invariante em vários sub- conjuntos invariantes "menores" juntamente com as órbitas que conectam estes subconjuntos. A metodologia adotada para a pesquisa se fundamentou na análise dedutiva, método que per- mitiu determinar o índice de Conley utilizando ferramentas de inclusões diferenciais, par-ín- dice e a teoria de Morse para se chegar a determinação do índice homológico
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