Normal Modes and Localization in Nonlinear Systems

Paul M. Geffert analyses the interplay of noise and time delay in non-excitable nonlinear systems and the modulation of stochastic effects. In particular, the author studies coherence resonance, which

Over the past decades, fault diagnosis (FDI) and fault tolerant control strategies (FTC) have been proposed based on different techniques for linear and nonlinear systems. Indeed a considerable attent

There is a resurgence of applications in which the calculus of variations has direct relevance. In addition to application to solid mechanics and dynamics, it is now being applied in a variety of numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. Many applications, such as nonlinear optimal control theory applied to continuous systems, have only recently become tractable computationally, with the advent of advanced algorithms and large computer systems. This book reflects the strong connection between calculus of variations and the applications for which variational methods form the fundamental foundation. The mathematical fundamentals of calculus of variations (at least those necessary to pursue applications) is rather compact and is contained in a single chapter of the book. The majority of the text consists of applications of variational calculus for a variety of fields.

Expanding on talks delivered at the 12th IEEE International Workshop on Variable Structure Systems (2012), this book covers sliding modes for decentralized system representations, control of time-dela

The discipline of nonlinear dynamics has developed explosively in all areas of physics. This comprehensive primer summarizes the main developments in the mathematical theory of dynamical systems, chaos, pattern formation and complexity. An introduction to mathematical concepts and techniques is given in the first part of the book, before being applied to stellar, interstellar, galactic and large scale complex phenomena in the Universe. Regev demonstrates the possible application of ideas including strange attractors, Poincaré sections, fractals, bifurcations, and complex spatial patterns, to specific astrophysical problems. This self-contained text will appeal to a broad audience of astrophysicists and astronomers who wish to understand and apply modern dynamical approaches to the problems they are working on. It provides researchers and graduate students with the investigative tools they need to fully explore chaotic and complex phenomena.

The purpose of this book is to present a methodology for designing and tuning fuzzy expert systems in order to identify nonlinear objects; that is, to build input-output models using expert and experi

While many books have discussed methodological advances in nonlinear dynamical systems theory (NDS), this volume is unique in its focus on NDS's role in the development of psychological theory. After an introductory chapter covering the fundamentals of chaos, complexity and other nonlinear dynamics, subsequent chapters provide in-depth coverage of each of the specific topic areas in psychology. A concluding chapter takes stock of the field as a whole, evaluating important challenges for the immediate future. The chapters are written by experts in the use of NDS in each of their respective areas, including biological, cognitive, developmental, social, organizational and clinical psychology. Each chapter provides an in-depth examination of theoretical foundations and specific applications and a review of relevant methods. This edited collection represents the state of the art in NDS science across the disciplines of psychology.

Many people with autism spectrum disorders (ASDs) are remarkably proficient at remembering how things look and sound, even years after an event. They are also good at rote learning and establishing habits and routines. Some even have encyclopaedic memories. However, all individuals with ASD have difficulty in recalling personal memories and reliving experiences, and less able people may have additional difficulty in memorising facts. This book assembles research on memory in autism to examine why this happens and the effects it has on people's lives. The contributors utilise advances in the understanding of normal memory systems and their breakdown as frameworks for analysing the neuropsychology and neurobiology of memory in autism. The unique patterning of memory functions across the spectrum illuminates difficulties with sense of self, emotion processing, mental time travel, language and learning, providing a window into the nature and causes of autism itself.

Soft condensed matter physics relies on a fundamental understanding at the interface between physics, chemistry, biology, and engineering for a host of materials and circumstances that are related to, but outside, the traditional definition of condensed matter physics. Featuring contributions from leading researchers in the field, this book uniquely discusses both the contemporary experimental and computational manifestations of soft condensed matter systems. From particle tracking and image analysis, novel materials and computational methods, to confocal microscopy and bacterial assays, this book will equip the reader for collaborative and interdisciplinary research efforts relating to a range of modern problems in nonlinear and non-equilibrium systems. It will enable both graduate students and experienced researchers to supplement a more traditional understanding of thermodynamics and statistical systems with knowledge of the techniques used in contemporary investigations. Color vers

Systems governed by nonlinear partial differential equations (PDEs) arise in many spheres of study. The stabilization and control of such systems, which are the focus of this book, are based around g

Signal Transduction in Cardiovascular System Health and Disease highlights the major contributions of different signaling systems in modulating normal cardiovascular functions and how a perturbation

Many people with autism spectrum disorders (ASDs) are remarkably proficient at remembering how things look and sound, even years after an event. They are also good at rote learning and establishing habits and routines. Some even have encyclopaedic memories. However, all individuals with ASD have difficulty in recalling personal memories and reliving experiences, and less able people may have additional difficulty in memorising facts. This book assembles research on memory in autism to examine why this happens and the effects it has on people's lives. The contributors utilise advances in the understanding of normal memory systems and their breakdown as frameworks for analysing the neuropsychology and neurobiology of memory in autism. The unique patterning of memory functions across the spectrum illuminates difficulties with sense of self, emotion processing, mental time travel, language and learning, providing a window into the nature and causes of autism itself.

Molecular simulation is a powerful tool in materials science, physics, chemistry and biomolecular fields. This updated edition provides a pragmatic introduction to a wide range of techniques for the simulation of molecular systems at the atomic level. The first part concentrates on methods for calculating the potential energy of a molecular system, with new chapters on quantum chemical, molecular mechanical and hybrid potential techniques. The second part describes methods examining conformational, dynamical and thermodynamical properties of systems, covering techniques including geometry-optimization, normal-mode analysis, molecular dynamics, and Monte Carlo simulation. Using Python, the second edition includes numerous examples and program modules for each simulation technique, allowing the reader to perform the calculations and appreciate the inherent difficulties involved in each. This is a valuable resource for researchers and graduate students wanting to know how to use atomic-sc

Patrick Boyde brings Dante's thought and poetry into focus for the modern reader by restoring the Comedy to its intellectual and literary context in 1300. He begins by describing the authorities that Dante acknowledged in the field of ethics and the modes of thought he shared with the great thinkers of his time. After giving a clear account of the differing approaches and ideals embodied in Aristotelian philosophy, Christianity and courtly literature, Boyde concentrates on the poetic representation of the most important vices and virtues in the Comedy. He stresses the heterogeneity and originality of Dante's treatment, and the challenges posed by his desire to harmonize these divergent value-systems. The book ends with a detailed case study of the 'vices and worth' of Ulysses in which Boyde throws light on recent controversies by deliberately remaining within the framework of the thirteenth-century assumptions, methods and concepts explored in previous chapters.

This volume presents a comprehensive introduction into rigorous geometrical dynamics of complex systems of various natures. By "complex systems", in this book are meant high-dimensional nonlinear syst

The discipline of nonlinear dynamics has developed explosively in all areas of physics. This comprehensive primer summarizes the main developments in the mathematical theory of dynamical systems, chaos, pattern formation and complexity. An introduction to mathematical concepts and techniques is given in the first part of the book, before being applied to stellar, interstellar, galactic and large scale complex phenomena in the Universe. Regev demonstrates the possible application of ideas including strange attractors, Poincaré sections, fractals, bifurcations, and complex spatial patterns, to specific astrophysical problems. This self-contained text will appeal to a broad audience of astrophysicists and astronomers who wish to understand and apply modern dynamical approaches to the problems they are working on. It provides researchers and graduate students with the investigative tools they need to fully explore chaotic and complex phenomena.

This pocket-sized book is an essential companion for all anaesthetists, intensive care specialists, intensive care nurses or any other healthcare professional working in the perioperative or intensive care environment. It provides a readily available source of information and guidance, mostly in the form of easy-to-follow tables, line drawings and flow diagrams, on many aspects of anaesthesia and intensive care, including normal values for common biochemical and haematological tests (and their interpretation), resuscitation protocols, equipment checklists, paediatric information and dosage differences, ventilation, sedation and analgesia and classification systems such as the APACHE II and Glasgow Coma Scales.

This is a comprehensive discussion of complexity as it arises in physical, chemical, and biological systems, as well as in mathematical models of nature. Common features of these apparently unrelated fields are emphasised and incorporated into a uniform mathematical description, with the support of a large number of detailed examples and illustrations. The quantitative study of complexity is a rapidly developing subject with special impact in the fields of physics, mathematics, information science, and biology. Because of the variety of the approaches, no comprehensive discussion has previously been attempted. This book will be of interest to graduate students and researchers in physics (nonlinear dynamics, fluid dynamics, solid-state, cellular automata, stochastic processes, statistical mechanics and thermodynamics), mathematics (dynamical systems, ergodic and probability theory), information and computer science (coding, information theory and algorithmic complexity), electrical engi

Three engineering professors lay down the foundation of singular perturbation theory for linear and nonlinear systems, and illustrate the theory with solved examples and applications. This reprint of

The Civil War should be seen as America's 'bourgeois revolution'. So argues Dr John Ashworth in this novel reinterpretation, from a Marxist perspective, of American political and economic development in the forty years before the Civil War. This book, the first of a two-volume treatment of slavery, capitalism and politics, locates the political struggles of the antebellum period in the international context of the dismantling of unfree labor systems. With its sequel, the volume will demonstrate that the conflict resulted from differences between capitalist and slave modes of production. With a careful synthesis of existing scholarship on the economics of slavery, the origins of abolitionism, the proslavery argument and the second party system, Ashworth maintains that the origins of the American Civil War are best understood in terms derived from Marxism.

Statistical mechanics is one of the crucial fundamental theories of physics, and in his new book Lawrence Sklar, one of the pre-eminent philosophers of physics, offers a comprehensive, non-technical introduction to that theory and to attempts to understand its foundational elements. Among the topics treated in detail are: probability and statistical explanation, the basic issues in both equilibrium and non-equilibrium statistical mechanics, the role of cosmology, the reduction of thermodynamics to statistical mechanics, and the alleged foundation of the very notion of time asymmetry in the entropic asymmetry of systems in time. The book emphasises the interaction of scientific and philosophical modes of reasoning, and in this way will interest all philosophers of science as well as those in physics and chemistry concerned with philosophical questions. The book could also be read by an informed general reader interested in the foundations of modern science.

Excited states and free radicals are involved in the normal physiology of living systems, in pathological processes (including lipid peroxidation, inflammation, Parkinson's disease, cancer, and aging)

Anthropologists have always been concerned with the difference between traditional (or 'primitive') and scientific modes of thought and with the relationships between magic, religion and science. John Skorupski distinguishes two broadly opposed approaches to these problems: the 'intellectualist' regards primitive systems of thought and actions as cosmologies, comparable to scientific theory, which emerge and persist as attempts to control the natural world; the 'symbolist' regards them as essentially representative or expressive of the pattern of social relations in the culture in which they exist. Dr Skorupski considers in particular the notions of ritual, ceremony and symbol. He shows how their understanding involves and suggests more general philosophical problems of relativism, interpretation, translation, and the connections between belief and action. These are difficult and important problems and require an unusual combination of imagination and interdisciplinary exercise. This b

This book demonstrates how to formulate the equations of mechanical systems. Providing methods of analysis of complex mechanical systems, the book has a clear focus on efficiency, equipping the reader with knowledge of algorithms that provide accurate results in reduced simulation time.The book uses Kane's method due to its efficiency, and the simple resulting equations it produces in comparison to other methods and extends it with algorithms such as order-nKane's method compensates for the errors of premature linearization, which are often inherent within vibrations modes found in a great deal of public domain softwareDescribing how to build mathematical models of multibody systems with elastic components, the book applies this to systems such as construction cranes, trailers, helicopters, spacecraft, tethered satellites, and underwater vehiclesIt also looks at topics such as vibration, rocket dynamics, simulation of beams, deflection, and matrix formulationFlexible Multibody Dynamics

Today's media, cinema and TV screens are host to new manifestations of myth, their modes of storytelling radically transformed from those of ancient Greece. They present us with narratives of contemporary customs and belief systems: our modern-day myths. Djoymi Baker's insightful study argues that the tools of transmedia merchandising and promotional material shape viewers' experiences of the hit television series Star Trek , to reinforce the mythology of the gargantuan franchise. Media marketing utilises the show's method of recycling the narratives of classical heritage, yet it also looks forward to the future. In this way, it reminds consumers of the Star Trek story's ongoing centrality within popular culture, whether in the form of the original 1960s series, the later additions such as Voyager and Discovery or J. J. Abrams' `reboot' films. Chapters examine how oral and literary traditions have influenced the series structure and its commercial image, how the cosmological role

A manifesto calling for a new kind of architecture that confronts social and economic inequality and uneven urban growth.Spatializing Justice calls for architects and urban designers to do more than design buildings and physical systems. Architects should take a position against inequality and practice accordingly. With these thirty short, manifesto-like texts―building blocks for a new kind of architecture―Spatializing Justice offers a practical handbook for confronting social and economic inequality and uneven urban growth in architectural and planning practice, urging practitioners to adopt approaches that range from redefining infrastructure to retrofitting McMansions. These building blocks call for expanded modes of practice, through which architects can imagine new spatial procedures, political and economic strategies, and modalities of sociability. Challenging existing exclusionary policies can advance a more experimental architecture not bound by formal parameters. Architects mu

This book presents a study on the novel concept of“event-triggered control of nonlinear systems subject to disturbances”, discussing the theory and practical applications. Richly illustrated, it is a valuable resource for researchers, engineers and graduate students in automation engineering who wish to learn the theories, technologies, and applications of event-triggered control of nonlinear systems.

Mem-elements for Neuromorphic Circuits with Artificial Intelligence Applications illustrates recent advances in the field of mem-elements (memristor, memcapacitor, meminductor) and their applications in nonlinear dynamical systems, computer science, analog and digital systems, and in neuromorphic circuits and artificial intelligence. The book is mainly devoted to recent results, critical aspects and perspectives of ongoing research on relevant topics, all involving networks of mem-elements devices in diverse applications. Sections contribute to the discussion of memristive materials and transport mechanisms, presenting various types of physical structures that can be fabricated to realize mem-elements in integrated circuits and device modeling.As the last decade has seen an increasing interest in recent advances in mem-elements and their applications in neuromorphic circuits and artificial intelligence, this book will attract researchers in various fields.

The field of ultracold atomic physics has developed rapidly during the last two decades, and currently encompasses a broad range of topics in physics, with a variety of important applications in topics ranging from quantum computing and simulation to quantum metrology, and can be used to probe fundamental many-body effects such as superconductivity and superfluidity. Beginning with the underlying and including the most cutting-edge experimental developments, this textbook covers essential topics such as Bose-Einstein condensation of alkali atoms, studies of BEC-BCS crossover in degenerate Fermi gas, synthetic gauge fields and Hubbard models, and many-body localization and dynamical gauge fields. Key physical concepts, such as symmetry and universality highlight the connections between different systems, and theory is developed with plain derivations supported by experimental results. This self-contained and modern text will be invaluable for researchers, graduate students and advanced

Boris plug-in applications, including Graffiti, FX, and Red, permit video editors to add titling, effects, compositing, and 3D capabilities to their nonlinear editing systems. This guide - for users o

The field of high-power laser-plasma interaction has grown in the last few decades, with applications ranging from laser-driven fusion and laser acceleration of charged particles to laser ablation of materials. This comprehensive text covers fundamental concepts including electromagnetics and electrostatic waves, parameter instabilities, laser driven fusion,charged particle acceleration and gamma rays. Two important techniques of laser proton interactions including target normal sheath acceleration (TNSA) and radiation pressure acceleration (RPA) are discussed in detail, along with their applications in the field of medicine. An analytical framework is developed for laser beat-wave and wakefield excitation of plasma waves and subsequent acceleration of electrons. The book covers parametric oscillator model and studies the coupling of laser light with collective modes.

Written in an easy-to-understand manner, this comprehensive textbook brings together both basic and advanced concepts of numerical methods in a single volume. Important topics including error analysis, nonlinear equations, systems of linear equations, interpolation and interpolation for Equal intervals and bivariate interpolation are discussed comprehensively. The textbook is written to cater to the needs of undergraduate students of mathematics, computer science, mechanical engineering, civil engineering and information technology for a course on numerical methods/numerical analysis. The text simplifies the understanding of the concepts through exercises and practical examples. Pedagogical features including solved examples and unsolved exercises are interspersed throughout the book for better understanding.

This new edition explains how vibrations can be used in a broad spectrum of applications and how to meet the challenges faced by engineers and system designers. The text integrates linear and nonlinear systems, and covers the time domain and the frequency domain, responses to harmonic and transient excitations, and discrete and continuous system models. It focuses on modeling, analysis, prediction, and measurement to provide a complete understanding of the underlying physical vibratory phenomena and their relevance for engineering design. Knowledge is put into practice through numerous examples with real-world applications in a range of disciplines, detailed design guidelines applicable to various vibratory systems, and over forty online interactive graphics which provide a visual summary of system behaviors and enable students to carry out their own parametric studies. Some thirteen new tables act as a quick reference for self-study, detailing key characteristics of physical systems a

This book offers a comprehensive review of the state-of-the-art theoretical and experimental advances in linear and nonlinear parity-time-symmetric systems in various physical disciplines, and surveys

This book covers the analysis, modelling, planning, and design of airport landside access modes and their systems. It elaborates on the issues and related problems of airport landside accessibility in

In the traditional curriculum, students rarely study nonlinear differential equations and nonlinear systems due to the difficulty or impossibility of computing explicit solutions manually. Although th

The book presents recent advances in the theory of neural control for discrete-time nonlinear systems with multiple inputs and multiple outputs. It provides solutions for the output trajectory trackin

Written by a group of international experts in their field, this book is a review of Lagrangian observation, analysis and assimilation methods in physical and biological oceanography. This multidisciplinary text presents new results on nonlinear analysis of Lagrangian dynamics, the prediction of particle trajectories, and Lagrangian stochastic models. It includes historical information, up-to-date developments, and speculation on future developments in Lagrangian-based observations, analysis, and modeling of physical and biological systems. Containing contributions from experimentalists, theoreticians, and modelers in the fields of physical oceanography, marine biology, mathematics, and meteorology, this book will be of great interest to researchers and graduate students looking for both practical applications and information on the theory of transport and dispersion in physical systems, biological modeling, and data assimilation.

Irfan Ahmad makes the far-reaching argument that potent systems and modes for self-critique as well as critique of others are inherent in Islam--indeed, critique is integral to its fundamental tenets

Irfan Ahmad makes the far-reaching argument that potent systems and modes for self-critique as well as critique of others are inherent in Islam--indeed, critique is integral to its fundamental tenets