In the coming years, high-contrast imaging surveys are expected to reveal the characteristics of the population of wide-orbit, massive, exoplanets. To date, a handful of wide planetary mass companions are known, but only one such multi-planet system has been discovered: HR 8799. For low mass planetary systems, multi-planet interactions play an important role in setting system architecture. In this paper, we explore the stability of these high mass, multi-planet systems. While empirical relationships exist that predict how system stability scales with planet spacing at low masses, we show that extrapolating to super-Jupiter masses can lead to up to an order of magnitude overestimate of stability for massive, tightly packed systems. We show that at both low and high planet masses, overlapping mean-motion resonances trigger chaotic orbital evolution, which leads to system instability. We attribute some of the difference in behavior as a function of mass to the increasing importance of second order resonances at high planet-star mass ratios. We use our tailored high mass planet results to estimate the maximum number of planets that might reside in double component debris disk systems, whose gaps may indicate the presence of massive bodies.

Four aspects of the dynamics of continuous-time dynamical systems are studied in this work. The relationship between the Lyapunov exponents of the original system and the Lyapunov exponents of induced Poincare maps is examined. The behavior of these Poincare maps as discriminators of chaos from noise is explored, and the possible Poissonian statistics generated at rarely visited surfaces are studied.

This research illustrates the experience of living with hallucinations from the perspective of being, and sought to answer the questions: what is the meaning of hallucinations and how do hallucinations connect to one's sense of self?A phenomenological Heideggerian hermeneutic approach was used to guide data collection and analysis. In this study, 12 individuals with schizophrenia or schizoaffective disorders were asked to describe their experience of hallucinations within the context of being. An overarching constitutive pattern emerged with four themes. The constitutive pattern, "A Life disrupted: Still lived," described a pattern of survival and perseverance on one's own terms; a common thread that emanated throughout the other themes. For these participants the four themes that epitomized living a life with hallucinations were:(a) Are they who they are? (b) A not so certain life, (c) Finding strength in the broken places, and (d) I am still me. Are they who they are described both a cognitive search and emotional appraisal of the structure of the hallucinatory experience. Who and what is it? The confusion and fear participants articulated, and attempting to make some sense out of the experience bore a close resemblance to the mechanism of order emerging from chaos. A not so certain life illustrated a picture of living with a chronic illness. Participants described the same waxing and waning of the disease, the lifelong picture of living with a disease, and the same ambiguous perspective of treatment. Participants also spoke of living a life of loss. This loss and subsequent grief in the face of stigma and self-perceived stigma were analogous to disenfranchised loss. Nonetheless, participants referred to making small and daily gains as a way of deriving meaning from this experience. Finding strength in the broken places was this process of lending a different kind of meaning to this experience as integral to surviving mental illness. There was some disparity with the literature concerning the usefulness of language that emphasized mastery and self-empowerment. This language served to be more overwhelming than helpful and clients visualized "getting better'' in small ways with small daily gains. Heidegger's language of care as leaping in and leaping ahead more closely depicted nursing's goal of intervening in the day-to-day needs, as well as the long-range goal of self-empowerment. Additionally, despite literature that conceptualizes a lost or disintegrating self, almost all participants agreed that hallucinations were not expressive of their intrinsic being, rather, "who they were" their "being" remained separate from their hallucinations. I am still me described a persistent sense of self defined as a sense of being that remained consistent throughout.

Spectral and wave function statistics of the quantum directed graph, QdG, are studied. The crucial feature of this model is that the direction of a bond (arc) corresponds to the direction of the waves propagating along it. We pay special attention to the full Neumann digraph, FNdG, which consists of pairs of antiparallel arcs between every node, and differs from the full Neumann graph, FNG, in that the two arcs have two incommensurate lengths. The spectral statistics of the FNG (with incommensurate bond lengths) is believed to be universal, i.e. to agree with that of the random matrix theory, RMT, in the limit of large graph size. However, the standard perturbative treatment of the field theoretical representation of the 2-point correlation function [1, 2] for a FNG, does not account for this behaviour. The nearest-neighbor spacing distribution of the closely related FNdG is studied numerically. An original, efficient algorithm for the generation of the spectrum of large graphs allows for the observation that the distribution approaches indeed universality at increasing graph size (although the convergence cannot be ascertained), in particular "level repulsion" is confirmed. The numerical technique employs a new secular equation which generalizes the analogous object known for undirected graphs [3, 4], and is based on an adaptation to digraphs of the idea of wave function continuity. In view of the contradiction between the field theory [2] and the strong indications of universality, a non-perturbative approach to analysing the universal limit is presented. The substitution of the FNG by the FNdG results in a field theory with fewer degrees of freedom. Despite this simplification, the attempt is inconclusive. Possible applications of this approach are suggested. Regarding the wave function statistics, a field theoretical representation for the spectral average of the wave intensity on an fixed arc is derived and studied in the universal limit. The procedure originates from the study of wave function statistics on disordered metallic grains [5] and is used in conjunction with the field theory approach pioneered in [2].

The following thesis is a memoir in essays. The narrative is a reflection of memory as a chaotic system. Each essay stands alone as a single memory but also is part of the larger story of the writer's life. The fragmentation of the story lends itself to what Roland Barthes called a readerly text. That is, a reader may enter the text at any point and read the chapters in an order, and by doing this, the reader creates his/her own version of the author's life. The overall narrative arch is one of self-discovery and self-destruction.

The motion of a test particle in the Schwarzschild background models the merger of a compact object binary with extremely different masses known in the literature as Extreme Mass Ratio Inspiral. In the simplest geodesic approxima- tion, this motion is integrable and there is no chaos. When one takes the spin of the smaller body into account, integrability is broken and prolonged resonances along with chaotic orbits appear. By employing the methods of Poincaré surface of section, rotation number and recurrence analysis we show for the first time that there is chaos for astrophysically relevant spin values. We propose a uni- versal method of measuring widths of resonances in perturbations of geodesic motion in the Schwarzschild spacetime using action-angle-like variables. We ap- ply this novel method to demonstrate that one of the most prominent resonances is driven by second order in spin terms by studying its growth, supporting the expectation that chaos will not play a dominant role in Extreme Mass Ratio Inspirals. Last but not least, we compute gravitational waveforms in the time- domain and establish that they carry information on the motion's dynamics. In particular, we show that the time series of the gravitational wave strain can be used to discern regular from chaotic motion of the source. 1

[pt] A experiência do trabalho pretende comprovar a atualidade de Jorge Mautner através da relação entre sua vivencialidade e sua obra, na dinâmica e movimento de sua criação e ação intempestivas visando a cultura nacional, desde seu surgimento (1958) com a canção-emblema Vampiro, até os dias de hoje: a força e a originalidade de sua música, sua literatura, em imanência com seu pensamento, na experimentação e afirmação do real a partir de sua invenção e discursividade. / [en] This work intends to show the Jorge Mautners present relevance by examining the relation between his living experience and his oeuvre, in the dynamics and movement of his untimely creation and action vis-à-vis Brazilian culture, from his debut with the emblematic song Vampiro (1958) to the present: the strength and originality of his music and literature, according to his thought, his experimentation and assertion of reality through inventiveness.

Orientador: José Manoel Balthazar / Banca: Angelo Marcelo Tusset / Banca: Bento Rodrigues de Pontes Junior / Resumo: Neste trabalho é realizada a análise do comportamento dinâmico não linear, caótico e controle, de um sistema macro eletromecânico e um sistema micro eletromecânico, e esta dividida em duas partes: A primeira parte desta dissertação trata - se de um sistema eletromecânico de 2º ordem com um único grau de liberdade em escala macro. Tal sistema é constituído de um oscilador mecânico composto de massa, mola não linear e amortecedor acolplado a um circuito elétrico, este composto uma resistência em série com um atuador capacitivo e um magnésio variável. O objetivo desta análise é estudar o comportamento dinâmico do modelo eletromecânico em estado de equilíbrio, e verificar como as simplificaçõs das não linearidades podem alterar a resposta do sistema. São aplicadas dua técnicas de controle ativo o controle linear feedback e o controle utilizado a equação de Riccati dependente do estado, como ferramenta para obter as oscilações em uma órbita periódica desejada, e com a finalidade de realizar uma comparação entre a eficiência destes dois métodos, para este sistema. Na segunda parte é analisado o comportamento dinâmico de um sistema micro "MEMS", representado por um micro-acelerômetro moderado por uma equação diferencial não-linear de segunda ordem. Este sistema considera duas placas fixas e uma placa móvel entre elas, a qual é aplicada uma tensão V (t), tais placas têm as funções de fornecer eletrodos para formar um capacitor e armazenar energia elétrica, e de fornecer elasticidade ou rigidez mecânica. Os resultados são obtidos através de simulações numéricas, sendo possível observar que para uma determinada faixa de parâmetros utilizados o sistema apresenta um comportamento indesejável. Através do uso da técnica do controle ótimo foi possível levar o sistema a uma orbita periódica desejada / Abstract: This work presented analysis of the dynamic behavior of nonlinear and chaotic control, of electromechanical systems in macro and micro scales, and is divided into two parts. The first part of this work is an electromechanical system in macro scale of second order with of a single degree of freedom. This system consists of mechanical oscillator consisting of mass, spring nonlinear and damper, coupled to an electric circuit, this compound a resistence in series with a capacitive actuator and a magnetic variable. The purpose of this analysis is to study the dynamic behavior of electromechanical model in equilibrium, and see how the simplifications of nonlinearities can change the system response. Two techniques are applied to active control, linear feedback control, and control using the Riccati equation sate-dependent, as a tool for the oscillations in a disired periodic orbit, and with the purpose to make a comparison between the effectiveness of two methods for this system. In the second part we analyze the dynamic behavior of a micro electromechanical system MEMS, represented by a micro-accelerometer is modeled by a nonlinear differential equation of second order. This system takes two fixed plates and a movable plate between them, which is applied a voltage V (t), such boards have the function of providing electrodes to form a capacitor or store electrical energy, and providing mechanical stiffness or elasticity. Results are obtained through numerical simulations. As can be seen that for a certain range of parameters the sytem presents an undesirable behavior. Through the using the technique of optimal control could case the sysstem to a desired periodic orbit. For the system with dimensionless parameters one can observe a chaotic behavior. As in general it is not possible to obtain exact analytical solutions to equations, sought an approximate solution obtained by the method of perturbation, the (Method of Multiple Scales) / Mestre

Dostoiévski, escritor russo do século XIX, compôs uma vasta obra, na qual procurou dar voz a todos os dilemas e contrastes presentes na alma humana; e conseguiu este feito sem procurar impor suas próprias verdades, sabendo que estas, em realidade, são sempre relativas. Um dos temas mais recorrentes em sua obra é a questão da loucura e do desequilíbrio, não só de seus personagens, mas também de fatos e acontecimentos, mostrando que, muitas vezes, na loucura do caos da vida, reside uma ordem e uma lógica superiores e, portanto, incompreensíveis para a mente humana, a qual acaba por considerar estes acontecimentos como fruto da insanidade. Isto despertou nosso interesse e resolvemos dedicar nosso estudo a este inquietante tema. / Dostoyevsky, Russian writer of the 19th century, accomplished a large literary output, in which he sought to give voice to all the dilemmas and contrasts existing in the human soul, and he perpetrated this deed without attempting to impose his own truths, knowing that these, in fact, are always relative. One of the most recurrent themes in his work is the issue of madness and instability, not only of his characters, but also of facts and events, showing that, oftentimes, in the madness existing in the chaos of life reside both a superior order and a superior logic and, therefore, incomprehensible to the human mind, which ends up regarding these events as a fruit of insanity. That aroused our interest and we have decided to dedicate this study to this unsettling theme.

A proposta da tese é contribuir para um melhor entendimento das organizações por meio da utilização de conceitos da teoria da Complexidade e Caos. Entendendo a organização como um sistema adaptativo complexo, busca-se, através de aspectos relacionados à conectividade, interdependência e diversidade, a identificação de padrões de estrutura organizacional em empresas brasileiras. Foi realizada uma pesquisa exploratória a partir de bases de dados de 417 empresas, 118 mil de seus funcionários, de 22 setores de atividades diferentes que se candidatam ao prêmio de \"Melhores Empresas para se Trabalhar\", organizado pela FIA - Fundação Instituto de Administração e Você S/A. Para análise foram utilizadas técnicas diversas de mineração de dados, de escalonamento multidimensional e desenvolvidos algoritmos para o delineamento de formações gráficas da amplitude de controle e rotinas para análise da estrutura de tarefas e da tensão adaptativa entre objetivos individuais e da organização. Os resultados da pesquisa revelaram que foram identificados padrões relacionados à conectividade e interdependência interna. Especificamente, observou-se também que fatores como a amplitude de controle e tensão adaptativa entre objetivos pessoais e organizacionais também manifestaram a emergência de padrões estruturais, independente do setor de atividade. / The purpose of this dissertation is to contribute to a better understanding of organizations through the use of the concepts of the Chaos and Complexity theory. Assuming the organization as a complex adaptive system, it aims to identify patterns of organizational structure in Brazilian companies through connectivity, interdependence and diversity organizational aspects. The study entails an exploratory research in databases in 417 companies (22 economic sectors) and 118 thousands employees that applied for the award of the best companies to work for (Melhores Empresas para se Trabalhar) organized by FIA - Fundação Instituto de Administração and Você S/A. In the analysis it was used data mining techniques, multidimensional scaling and algorithms developed for the design of graphical formations, the span of control, structure and tasks and the adaptive tension between individual goals and the ones found in organizations where the employee works at. The results of the study point to patterns identified and related to organizational characteristics that denote the internal connectivity and interdependence. Structural patterns on information from different economic sectors companies were identified and related to factors such as span of control and adaptive tension between individual goals and perceived characteristics in organizations.