Many nonlinear systems around us can generate a very complex and counter-intuitive dynamics that contrasts with their simplicity, but their understanding requires concepts that are outside the basic training of most science students. This textbook, which is the fruit of graduate courses that the authors have taught at their respective universities, provides a richly illustrated introduction to nonlinear dynamical systems and chaos and a solid foundation for this fascinating subject. It will satisfy those who want discover this field, including at the undergraduate level, but also those who need a compact and consistent overview, gathering the concepts essential to nonlinear scientists. The first and second chapters describe the essential concepts needed to describe nonlinear dynamical systems as well as their stability. The third chapter introduces the concept of bifurcation, where the qualitative dynamical behavior of a system changes. The fourth chapter deals with oscillations, from their birth to their destabilization, and how they respond to external driving. The fifth and sixth chapters discuss complex behaviors that only occur in state spaces of dimension three and higher: quasi-periodicity and chaos, from their general properties to quantitative methods of characterization. All chapters are supplemented by exercises ranging from direct applications of the notions introduced in the corresponding chapter to elaborate problems involving concepts from different chapters, as well as numerical explorations.
A new approach to understanding nonlinear dynamics and strange attractors The behavior of a physical system may appear irregular or chaotic even when it is completely deterministic and predictable for short periods of time into the future. How does one model the dynamics of a system operating in a chaotic regime? Older tools such as estimates of the spectrum of Lyapunov exponents and estimates of the spectrum of fractal dimensions do not sufficiently answer this question. In a significant evolution of the field of Nonlinear Dynamics, The Topology of Chaos responds to the fundamental challenge of chaotic systems by introducing a new analysis method-Topological Analysis-which can be used to extract, from chaotic data, the topological signatures that determine the stretching and squeezing mechanisms which act on flows in phase space and are responsible for generating chaotic data. Beginning with an example of a laser that has been operated under conditions in which it behaved chaotically, the authors convey the methodology of Topological Analysis through detailed chapters on: * Discrete Dynamical Systems: Maps * Continuous Dynamical Systems: Flows * Topological Invariants * Branched Manifolds * The Topological Analysis Program * Fold Mechanisms * Tearing Mechanisms * Unfoldings * Symmetry * Flows in Higher Dimensions * A Program for Dynamical Systems Theory Suitable at the present time for analyzing "strange attractors" that can be embedded in three-dimensional spaces, this groundbreaking approach offers researchers and practitioners in the discipline a complete and satisfying resolution to the fundamental questions of chaotic systems.
Many nonlinear systems around us can generate a very complex and counter-intuitive dynamics that contrasts with their simplicity, but their understanding requires concepts that are outside the basic training of most science students. This textbook, which is the fruit of graduate courses that the authors have taught at their respective universities, provides a richly illustrated introduction to nonlinear dynamical systems and chaos and a solid foundation for this fascinating subject. It will satisfy those who want discover this field, including at the undergraduate level, but also those who need a compact and consistent overview, gathering the concepts essential to nonlinear scientists. The first and second chapters describe the essential concepts needed to describe nonlinear dynamical systems as well as their stability. The third chapter introduces the concept of bifurcation, where the qualitative dynamical behavior of a system changes. The fourth chapter deals with oscillations, from their birth to their destabilization, and how they respond to external driving. The fifth and sixth chapters discuss complex behaviors that only occur in state spaces of dimension three and higher: quasi-periodicity and chaos, from their general properties to quantitative methods of characterization. All chapters are supplemented by exercises ranging from direct applications of the notions introduced in the corresponding chapter to elaborate problems involving concepts from different chapters, as well as numerical explorations.
A new approach to understanding nonlinear dynamics and strange attractors The behavior of a physical system may appear irregular or chaotic even when it is completely deterministic and predictable for short periods of time into the future. How does one model the dynamics of a system operating in a chaotic regime? Older tools such as estimates of the spectrum of Lyapunov exponents and estimates of the spectrum of fractal dimensions do not sufficiently answer this question. In a significant evolution of the field of Nonlinear Dynamics, The Topology of Chaos responds to the fundamental challenge of chaotic systems by introducing a new analysis method-Topological Analysis-which can be used to extract, from chaotic data, the topological signatures that determine the stretching and squeezing mechanisms which act on flows in phase space and are responsible for generating chaotic data. Beginning with an example of a laser that has been operated under conditions in which it behaved chaotically, the authors convey the methodology of Topological Analysis through detailed chapters on: * Discrete Dynamical Systems: Maps * Continuous Dynamical Systems: Flows * Topological Invariants * Branched Manifolds * The Topological Analysis Program * Fold Mechanisms * Tearing Mechanisms * Unfoldings * Symmetry * Flows in Higher Dimensions * A Program for Dynamical Systems Theory Suitable at the present time for analyzing "strange attractors" that can be embedded in three-dimensional spaces, this groundbreaking approach offers researchers and practitioners in the discipline a complete and satisfying resolution to the fundamental questions of chaotic systems.
This book encompasses the proceedings of a conference held at Trinity College, Oxford on September 21-25, 1985 organized by a committee comprised of Drs. M. Crumpton, M. Feldmann, A. McMichael, and E. Simpson, and advised by many friends and colleagues. The immune response gene workshops that took place were based on the need to understand why certain experimental animal strains were high responders and others were low responders. It was assumed that identification of the immune response (Ir) genes and definition of their products would explain high and low responder status. Research in the ensuing years has identified the Ir gene products involved in antibody responses as the la antigens, or MHC Class II antigens. These proteins are now well defined as members of the immunoglobulin gene superfamily, and their domain structure is known. Epitopes have been defined by multiple mono clonal antibodies and regions of hypervariability identified. Their genes have been identified and cloned. The basic observation of high and low responsive ness to antigen is still not understood in mechanistic terms, however, at either the cellular or molecular level. This is because the rate of progress in immune regulation has been far slower than in the molecular biology of the MHC Class II antigens. This is not surprising, since immune regulation is a very complex field at the crossroads of many disciplines.
First published in English in 1973, The Royal Touch explores the supernatural character that was long attributed to royal power. Throughout history, both France and England claimed to hold kings with healing powers who, by their touch, could cure people from all strands of society from illness and disease. Indeed, the idea of royalty as something miraculous and sacred was common to the whole of Western Europe. Using the work of both professional scholars and of doctors, this work stands as a contribution to the political history of Europe.
Develops a theory of fairness incorporating a concern for personal responsibility, opportunities and freedom, and makes accessible the recent developments in economics and philosophy that define social justice in terms of equal opportunities.
Integrated Population Models: Theory and Ecological Applications with R and JAGS is the first book on integrated population models, which constitute a powerful framework for combining multiple data sets from the population and the individual levels to estimate demographic parameters, and population size and trends. These models identify drivers of population dynamics and forecast the composition and trajectory of a population. Written by two population ecologists with expertise on integrated population modeling, this book provides a comprehensive synthesis of the relevant theory of integrated population models with an extensive overview of practical applications, using Bayesian methods by means of case studies. The book contains fully-documented, complete code for fitting all models in the free software, R and JAGS. It also includes all required code for pre- and post-model-fitting analysis. Integrated Population Models is an invaluable reference for researchers and practitioners involved in population analysis, and for graduate-level students in ecology, conservation biology, wildlife management, and related fields. The text is ideal for self-study and advanced graduate-level courses. Offers practical and accessible ecological applications of IPMs (integrated population models) Provides full documentation of analyzed code in the Bayesian framework Written and structured for an easy approach to the subject, especially for non-statisticians
A torrent of Islamist terrorism swept across France in 2015 and 2016, executed by militant jihadists on behalf of al-Qaeda and the Islamic State (ISIS). Their targets ranged from the Paris offices of Charlie Hebdo magazine to the Bataclan Theatre on the Boulevard Voltaire to a parish church in a Normandy village and a beachfront promenade on the Mediterranean. This book reconstructs these and other terrorist offensives France weathered during this period. Placing each attack in its sociopolitical context, the author examines the backgrounds and motives of the perpetrators, the attributes of the victims and the legacy of the attacks for the people.
This book gathers a series of pivotal papers on the development of an HIV/AIDS vaccine published in the last two decades. Accompanied by extensive comments putting the material into an up-to-date context, all three parts of the book offer a broad overview of the numerous unsuccessful attempts made in recent years to develop a preventive HIV vaccine. Providing a detailed review and analysis of studies published from 1998 to the present day, it examines the likely reasons for the failure to develop an HIV vaccine despite multi-million dollar investments.
The Later Prehistory of North-West Europe provides a unique, up-to-date, and easily accessible synthesis of the later prehistoric archaeology of north-west Europe, transcending political and language barriers that can hinder understanding. By surveying changes in social forms, landscape organization, monument types, and ritual practices over six millennia, the volume reassesses the prehistory of north-west Europe from the late Mesolithic to the end of the pre-Roman Iron Age. It explores how far common patterns of social development are apparent across north-west Europe, and whether there were periods when local differences were emphasized instead. In relation to this, it also examines changes through time in the main axes of contact between the various regions of continental Europe, Britain, and Ireland. Key to the volume's broad scope is its focus on the vast mass of new evidence provided by recent development-led excavations. The authors collate data that has been gathered on thousands of sites across Britain, Ireland, northern France, the Low Countries, western Germany, and Denmark, using sources including unpublished 'grey literature' reports. The results challenge many aspects of previous narratives of later prehistory, allowing the volume to present a distinctively fresh perspective.
Marc Ferro's account of the dark force of resentment and revenge in modern times is a salutary reminder of how much history of a high order can contribute to an understanding of our turbulent world. If you think fundamentalis Islam came out of the blue, then read this book and think again." Jay Winter, Yale University --
A study of the philosophical and theological thought of Henry Cornelius Agrippa of Nettesheim (1486-1535). It contains new perspectives on Agrippa's place in the world of humanism and offers a new approach to the interpretation of Renaissance declamations.
This book is a gift to all audiences of the World. It is a manifestation of joy, a well deserve acknowledgment of a culture that until now did not have a chance to participate in any international concert arena. Compas Direct: A Haitian Pride Th e Road to Hollywood goes beyond being a gift to the people of the world. It is for everyone, not only the music lovers but the good Samaritans, the young minded and humanitarian-oriented people that open their hearts and believe in a world class music that deserves appreciation and recognition. Th e development of Haitian Compas Direct achieving a worldwide status is the central theme of this book. Th e book Compas Direct: A Haitian Pride -Th e Road to Hollywood is written in a journalistic format by a journalist inspired by the creationist aspect of this music and the capacity of its instrumentalist musicians to deliver a product of quality. Compas Direct is this musical energy that intends to transcend, transform and polish the windows of our hearts through its immaculate sweetness. Th e possibility that the musical rhythm of Compas Direct could achieve worldwide recognition that is the authors goal.
This book considers contemporary international interventions with a specific focus on analyzing the frameworks that have guided recent peacekeeping operations led by the United Nations. Drawing from the work of Michel Foucault and Foucauldian-inspired approaches in the field of International Relations, it highlights how interventions can be viewed through the lens of governmentality and its key attendant concepts. The book draws from these approaches in order to explore how international interventions are increasingly informed by governmental rationalities of security and policing. Two specific cases are examined: the UN's Security Sector Reform (SSR) approach and the UN's Protection of Civilians agenda. Focusing on the governmental rationalities that are at work in these two central frameworks that have come to guide contemporary UN-led peacekeeping efforts in recent years, the book considers: The use in IR of governmentality and its attendant notions of biopower and sovereign power The recent discussion regarding the concept and practice of international policing and police reform The rise of security as a rationality of government and the manner in which security and police rationalities interconnect and have increasingly come to inform peacekeeping efforts The Security Sector Reform (SSR) framework for peacebuilding and the rise of the UN's Protection of Civilians agenda. This book will be of interest to graduates and scholars of international relations, security studies, critical theory, and conflict and intervention.
Foreword by Eric Maskin (Nobel Laureate in Economics, 2007)This book is a collection of articles written by the two authors on the topic of equality of opportunity. All articles build on the idea that a just society should equalize the resources that determine the opportunities agents face in order to follow their goals. Resources are either external, like financial resources, or internal, like preferences or skills. The authors propose to define “equality of opportunity” as the combination of ethical principles of compensation and responsibility. The principle of compensation requires external resources to be used to compensate low-skilled agents (considering that inequalities due to skill differences are unjust). The principle of responsibility requires external resources to be allocated without regards to inequalities due to differences in preferences (considering that these inequalities are not unjust). The articles present different ways of combining the two principles in different economic contexts.The book offers many possible aspects of the analysis of equality of opportunity, ranging from axiomatic discussions in abstract compensation models, to the design of redistribution policies in concrete labor income taxation models.
1 July 1789, Paris, two weeks before the Revolution. France is undergoing a political upheaval unlike anything it has known before. Louis XVI is using savage mercenary forces and food blockages to bring the people to heel. The country is a powder keg, and Paris is the fuse. In the midst of the bloody chaos, shadowy people--including the sinister and brutal chief of the Paris police--discover that a young Parisian laundress, Michaele Duvallier, is in possession of the proof of a deadly, ancient secret that could shake France's monarchy to its core. September 1654, Burgundy, 135 years before the Revolution. A good-natured young man, an orphan, is mysteriously imprisoned with grotesque instructions to conceal his identity in such as way as to ensure he is to be forgotten for all time"--Amazon.com.
This volume presents one of the clinical foundations of vasculopathies: the biological markers and risk factors associated with cardiovascular disease. A detailed biological and clinical framework is provided as a prerequisite for adequate modeling. Chapter 1 presents cardiovascular risk factors and markers, where the search for new criteria is aimed at improving early detection of chronic diseases. The subsequent chapters focus on hypertension, which involves the kidney among other organs as well as many agents, hyperglycemia and diabetes, hyperlipidemias and obesity, and behavior. The last of these risk factors includes altered circadian rhythm, tobacco and alcohol consumption, physical inactivity, and diet. The volumes in this series present all of the data needed at various length scales for a multidisciplinary approach to modeling and simulation of flows in the cardiovascular and ventilatory systems, especially multiscale modeling and coupled simulations. The cardiovascular and respiratory systems are tightly coupled, as their primary function is to supply oxygen to and remove carbon dioxide from the body's cells. Because physiological conduits have deformable and reactive walls, macroscopic flow behavior and prediction must be coupled to nano- and microscopic events in a corrector scheme of regulated mechanisms. Therefore, investigation of flows of blood and air in anatomical conduits requires an understanding of the biology, chemistry, and physics of these systems together with the mathematical tools to describe their functioning in quantitative terms.
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