1,931 research outputs found
Visualizing the transition to chaos in the Lorenz system
No full textThe Lorenz system still fascinates many people because of the simplicity of the equations that generate such complicated dynamics on the famous butterfly attractor. This paper addresses the role of the global stable and unstable manifolds in organising the dynamics. More precisely, for the standard system parameters, the origin has a two-dimensional stable manifold and the other two equilibria each have a two-dimensional unstable manifold. The intersections of these manifolds in the three-dimensional phase space form heteroclinic connections from the nontrivial equilibria to the origin. A parameter-dependent visualization of these manifolds clarifies the transition to chaos in the Lorenz syste
Conceptual Design Automation: Abstraction complexity reduction by feasilisation and knowledge engineering
No full textIn order to keep innovating, engineers are working more and more with engineering software, providing them a way to cut away their routine and repetitive activities. Computer aided design and simulation software are for instance considered standard tools in most engineering companies. Today, to solve complex engineering design problems, multidisciplinary design optimisation (MDO) is increasingly used to automate the design process to support the engineer in finding a solution faster. To effectively use MDO, design frameworks such as the design and engineering engine (DEE) are required. More and more does engineering software provide a seamless integration of computer software and human knowledge, a focus point of the field of knowledge engineering (KE). This will free engineers from repetitive and routine tasks and allow them to use their full creative capacity and learn faster, increasing their productivity. This work contributes to the development of KE applications within the DEE to support the MDO process. The focus is on the conceptual design phase of complex systems engineering, responsible for providing an initial start vector for MDO. Aircraft design is taken as a guiding example as it is a typical case of a complex system.Design of Aircraft and RotorcraftAerospace Engineerin
The literary phenomenon of 'conflation’ in the reworking of Paul’s letter to the Colossians by the author of the letter to the Ephesians
No full textThis thesis is concerned with the nature of the relationship of the Letter to the Ephesians (Eph) to Paul's Letter to the Colossians (Col).The first three chapters seek to argue that this relationship should be designated as "literary dependent". In Chapter I the suggestion made by A.T. Lincoln (Dallas [Texas], 1990) that the contemporary redaction of the Letter of Aristeas by Josephus in his Jewish Antiquities, Book XII, §§ 11-118 is similar to the use the author of Eph made of Col, is exposed to critical review. Chapter II focuses on the phenomenon of repeated 'conflation' in Eph. This literary phenomenon entails that several 'Colossian' texts from different parts of Col are conflated by the author of Eph into one passage and is subjected to exhaustive analysis. It is argued that conflation is the main feature of the literary dependence of Eph on Col but does not occur in Josephus' reworking of the Letter of Aristeas. Chapter III continues the comparison between the method of reworking employed in the Jewish Antiquities and in Eph by pointing out that the fluctuation in verbatim agreement of one document with its source can be meaningful. Chapter IV provides the new synopsis of both letters on which the whole examination is based. This synoptic overview is a desideratum since the previous synoptic editions of the Greek text of both letters by E.J. Goodspeed (Chicago, 1933) and C.L. Mitton (Oxford, 1951) are not accurate enough and unsuitable for research that focuses on the conflations of 'Colossian' verses in Eph. The fifth and last chapter deals with the question why Eph is literary dependent on Col and shows that despite the literary dependence, the theology of Eph is distinctive in comparison with its source Col. The distinctiveness of Eph's theology consists in a critical modification of the stress which Col places on Christ's already accomplished victory over the cosmic powers (Co/ 2.15). In order to safeguard an authoritative reception of his modification of Col, the author of Eph presented his letter as the parallel letter of Col alluded to m Col 4.16. The literary dependence on Col is necessary both to modify its content and to present his own writing as its parallel letter
Catherine The Faithful Queen Dowager
No full text<p>4. Catherine The Faithful Queen Dowager</p>
<p>Author / Authors : Charles E.J. Moulton<br>Page no. 56 – 68<br>Discipline : History/Swedish History<br>Script/language : Roman/English</p>
<p>Category : Research paper</p>
<p>Keywords: Swedish history, Renaissance women, Arranged marriages, 16th century royalty.</p>
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A survey of methods for computing (un)stable manifolds of vector fields
No full textThe computation of global invariant manifolds has seen renewed interest in recent years. We survey different approaches for computing a global stable or unstable manifold of a vector field, where we concentrate on the case of a two-dimensional manifold. All methods are illustrated with the same example --- the two-dimensional stable manifold of the origin in the Lorenz system
Introduction
No full textCONTENTS:
List of Tables;
List of Plates;
Acknowledgements;
Notes on the Contributors;
Introduction: P.Garside, E.J.Clery & C.Franklin;
PART I: AUTHORSHIP Anne Grant and the Professionalization of Privacy; P.Perkins Women Poets and Anonymity in the Romantic Era; P.R.Feldman Walter Scott: Anonymity and the Unmasking of the Harlequin; C.Lamont James Hogg and his Publishers: The Queen's Wake and Queen Hynde; D.S.Mack Author and Community: John Clare and John Taylor; P.Chirico PART II: COMMERCE Eliza Haywood and the Discourse of Taste; R.W.Jones Camilla in the Market Place: Moral Marketing and Feminist Editing in 1796 and 1802; S.Salih Economics, Expertise, Enterprise and the Literary Scene: The Commercial Management Ethos in British Circulating Libraries; C.Skelton-Foord Popular Romanticism?: Publishing, Readership and the Making of Literary History; B.Colbert PART III: THE PUBLIC Cultures of Print: Mass Markets and Theories of the Liberal Public Sphere; J.Stoddart 'The Hastings Circle': Writers and Writing in Calcutta in the Last Quarter of the Eighteenth Century; M.J.Franklin A 'Memorable Grave': The Abject Subtext of Charles Lloyd's Edmund Oliver; P.Keen State Patronage and the Romantic Writer: Henry Taylor's Modest Proposal; W.Christi
Travelling solitary waves in the discrete nonlinear Schrodinger equation with saturable nonlinearity: existence, stability and dynamics
No full textThe present work examines in detail the existence, stability and dynamics of travelling solitary waves in dynamical lattices with saturable nonlinearity. After analszing the linear spectrum of the problem in the travelling wave frame, a pseudo-spectral numerical method is used to identify weakly non-local solitary waves. By finding zeros of an appropriately crafted tail condition, we can obtain the genuinely localised pulse-like solutions. Subsequent use of continuation methods allows us to obtain the relevant branches of solutions as a function of the system parameters, such as the frequency and inter-site coupling strength. We examine the stability of the solutions in two ways: both by imposing numerical perturbations and observing the solution dynamics, as well as by considering the solutions as fixed points of an appropriate map and computing the corresponding Floquet matrix and its eigenvalues. Both methods indicate that our solutions are robustly localised. Finally, the interactions of these solutions are examined in collision type phenomena, observing that relevant collisions are near-elastic, although they may, under appropriate conditions, lead to the generation of an additional pulse
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