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Acoustic Analysis and Design of Short Elliptical End-Chamber Mufflers
by Akhilesh MimaniThis book presents a three-dimensional analysis of acoustic wave propagation in an elliptical waveguide, and applies the equations and concepts to design axially short elliptical end-chamber muffler configurations which are an important component of a complex multi-pass muffler used in a modern-day automotive exhaust system. A general solution of the Helmholtz equation in elliptical cylindrical co-ordinates is presented in terms of the Mathieu and modified Mathieu modal functions. This is followed by the tabulation and analysis, for the first time, of the non-dimensional resonance frequencies of the transverse modes of a rigid-wall elliptical waveguide for a complete range of aspect ratio. The modal shape patterns of the first few circumferential, radial and cross-modes are examined with particular attention to the pressure nodal ellipses and hyperbolae. An analytical formulation is then outlined for characterizing a single-inlet and single-outlet elliptical muffler with the inlet located on the end face and the outlet located either on the end face or side-surface. The ensuing chapter is devoted toward analyzing the Transmission Loss (TL) performance of different short end-chamber mufflers, namely (a) the straight-flow configuration having ports located on the opposite face, (b) the flow-reversal configuration with ports located on the same end face and (c) configuration with inlet port on the end face and outlet on the side surface. Design guidelines are formulated in terms of the optimal location of inlet and outlet ports which suppresses the deteriorating influence of certain higher-order modes, thereby delivering a broadband TL performance. Directions for future work are discussed toward the end. In summary, this book is a one-stop solution for a practicing automotive engineer designing mufflers, for an applied mathematician studying wave propagation in elliptical geometries, and also as a niche area within noise control engineering.
Acoustic Guitar Design
by Richard Mark FrenchThis book is for experienced luthiers and guitar designers in the industry, novice builders wishing to improve their designs, and guitar owners interested in knowing more about their instruments. It includes the most important technical information gathered from many sources, including the academic literature and the author’s own work, presented here in a clear, actionable form with a minimum of mathematics. The book begins with a historical survey on how important features of the acoustic guitar evolved over centuries. The review leads up to a chapter focusing on three iconic instruments that represent the most important types of acoustic guitars: classical, steel string flat top and archtop. As the guitar market is so strongly conditioned by familiar, traditional instruments, a successful builder must have a thorough working understanding of the most important designs to underpin their own work. Through this volume, Professor French lays out the entire design process and collects detailed information in one convenient source. Luthiers quite often compile notebooks of measurements, part numbers, specific design features and other details they routinely need. This book organizes much of that information, with tables of dimensions, material properties, and other details in one essential final chapter. The book also features concise side bar contributions by top guitar designers and builders including Tim Shaw, Chief Engineer at Fender Music; Bob Taylor, Co-Founder of Taylor Guitars; and Andy Powers, Master Guitar Designer and Partner.
Acoustic Waves in Periodic Structures, Metamaterials, and Porous Media: From Fundamentals to Industrial Applications (Topics in Applied Physics #143)
by Noé Jiménez Olga Umnova Jean-Philippe GrobyThis book delivers a comprehensive and up-to-date treatment of practical applications of metamaterials, structured media, and conventional porous materials. With increasing levels of urbanization, a growing demand for motorized transport, and inefficient urban planning, environmental noise exposure is rapidly becoming a pressing societal and health concern. Phononic and sonic crystals, acoustic metamaterials, and metasurfaces can revolutionize noise and vibration control and, in many cases, replace traditional porous materials for these applications.In this collection of contributed chapters, a group of international researchers reviews the essentials of acoustic wave propagation in metamaterials and porous absorbers with viscothermal losses, as well as the most recent advances in the design of acoustic metamaterial absorbers. The book features a detailed theoretical introduction describing commonly used modelling techniques such as plane wave expansion, multiple scattering theory, and the transfer matrix method. The following chapters give a detailed consideration of acoustic wave propagation in viscothermal fluids and porous media, and the extension of this theory to non-local models for fluid saturated metamaterials, along with a description of the relevant numerical methods. Finally, the book reviews a range of practical industrial applications, making it especially attractive as a white book targeted at the building, automotive, and aeronautic industries.
Acoustical Analysis of the Tanpura: Indian Plucked String Instrument (Signals and Communication Technology)
by Asoke Kumar Datta Ranjan Sengupta Dipak Ghosh Kaushik BanerjeeThis book addresses the acoustic signal analysis and spectral dynamics of the tanpura, an Indian plucked string instrument. In addition, it strives to provide a logical and objective explanation of Indian classical musicians’ cognitive experience. Issues of relevance in this regard include the rich, mellifluous sound; the undulation of the loudness; the somewhat cyclical variation of the timbre, which is strongly related to these undulations; and the occasional perception of virtual notes to which no strings are tuned. The book analyses the materials used in the tanpura, the instrument’s simple structure, the intricacies of the lower bridge, and the theory of string vibration with variable string length. Cognitive experiments to provide the basis for perceptual quality assessment, as well as a methodology for ranking, are described. This is followed by acoustic analyses, both temporal and spectral, for sounds produced by male and female tanpuras, for each individual string and the combined one. An important aspect related to the naturalness of perceived sound, namely the intrinsically associated random perturbations, is also discussed. The apparent irregularities perceived in the acoustic signal produced by the tanpura reveal the importance of examining the signal from the perspective of non-linear analysis, an aspect that is also covered in the book. Given its scope, the book will appeal to students and researchers in the fields of music acoustics, artificial intelligence, and cognitive science, as well as musicians and musicologists around the world.
Acoustics and Vibration of Mechanical Structures – AVMS-2021: Proceedings of the 16th AVMS, Timişoara, Romania, May 28-29, 2021 (Springer Proceedings in Physics #274)
by Nicolae Herisanu Vasile MarincaThis book is a collection of contributions presented at the 16th Conference on Acoustic and Vibration of Mechanical Structure held in Timişoara, Romania, May 28, 2021. The conference focused on a broad range of topics related to acoustics and vibration, such as noise and vibration control, noise and vibration generation and propagation, effects of noise and vibration, condition monitoring and vibration testing, modelling, prediction and simulation of noise and vibration, environmental and occupational noise and vibration, noise and vibration attenuators, biomechanics and bioacoustics. The book also discusses analytical, numerical and experimental techniques applicable to analyze linear and non-linear noise and vibration problems (including strong nonlinearity) and it is primarily intended to emphasize the actual trends and state-of-the-art developments in the above mentioned topics. The primary audience of this book consist of academics, researchers and professionals, as well as PhD students concerned with various fields of acoustics and vibration of mechanical structures.
Acoustics and Vibration of Mechanical Structures—AVMS 2019: Proceedings of the 15th AVMS, Timisoara, Romania, May 30–31, 2019 (Springer Proceedings in Physics #251)
by Nicolae Herisanu Vasile MarincaThis book contains selected and expanded contributions presented at the 15th Conference on Acoustics and Vibration of Mechanical Structures held in Timisoara, Romania, May 30-31, 2019. The conference focused on a broad range of topics related to acoustics and vibration, such as analytical approaches to nonlinear noise and vibration problems, environmental and occupational noise, structural vibration, biomechanics and bioacoustics, as well as experimental approaches to vibration problems in industrial processes. The different contributions also address the analytical, numerical and experimental techniques applicable to analyze linear and non-linear noise and vibration problems (including strong nonlinearity) and they are primarily intended to emphasize the actual trends and state-of-the-art developments in the above mentioned topics. The book is meant for academics, researchers and professionals, as well as PhD students concerned with various fields of acoustics and vibration of mechanical structures.
Acoustics and Vibration of Mechanical Structures—AVMS-2017: Proceedings of the 14th AVMS Conference, Timisoara, Romania, May 25–26, 2017 (Springer Proceedings in Physics #198)
by Nicolae Herisanu Vasile MarincaThis book is a collection of papers presented at Acoustics and Vibration of Mechanical Structures 2017 - AVMS 2017 - highlighting the current trends and state-of-the-art developments in the field. It covers a broad range of topics, such as noise and vibration control, noise and vibration generation and propagation, the effects of noise and vibration, condition monitoring and vibration testing, modeling, prediction and simulation of noise and vibration, environmental and occupational noise and vibration, noise and vibration attenuators, as well as biomechanics and bioacoustics. The book also presents analytical, numerical and experimental techniques for evaluating linear and non-linear noise and vibration problems (including strong nonlinearity). It is primarily intended for academics, researchers and professionals, as well as PhD students in various fields of the acoustics and vibration of mechanical structures.
Acoustics and Vibration of Mechanical Structures—AVMS-2023: Proceedings of the 17th AVMS, Timişoara, Romania, May 26–27, 2023 (Springer Proceedings in Physics #302)
by Nicolae Herisanu Vasile MarincaThis book presents peer-reviewed and selected papers from the 17th Conference on Acoustics and Vibration of Mechanical Structures (AVMS) held in Timisoara, Romania, on 26–27 May 2023. Internationally recognized experts share their knowledge and key findings in a broad range of topics related to acoustics and vibration of mechanical structures such as analytical, numerical and experimental techniques for noise and vibration problems, environmental and occupational noise and vibration, modelling, prediction and simulations of noise and vibration, noise and vibration control, noise and vibration attenuators. The book addresses application studies and fundamental studies as well, and it is meant for academics researchers and professionals, as well as Ph.D. students concerned with various fields of acoustics and vibration of mechanical structures.
Acquisition and Analysis of Terrestrial Gravity Data
by Leland Timothy Long Ronald Douglas KaufmannGravity surveys have a huge range of applications, indicating density variations in the subsurface and identifying man-made structures, local changes of rock type or even deep-seated structures at the crust/mantle boundary. This important one-stop book combines an introductory manual of practical procedures with a full explanation of analysis techniques, enabling students, geophysicists, geologists and engineers to understand the methodology, applications and limitations of a gravity survey. Filled with examples from a wide variety of acquisition problems, the book instructs students in avoiding common mistakes and misconceptions. It explores the increasing near-surface geophysical applications being opened up by improvements in instrumentation and provides more advance-level material as a useful introduction to potential theory. This is a key text for graduate students of geophysics and for professionals using gravity surveys, from civil engineers and archaeologists to oil and mineral prospectors and geophysicists seeking to learn more about the Earth's deep interior.
Across the Board: The Mathematics of Chessboard Problems (Princeton Puzzlers)
by John J. WatkinsAcross the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple grid of squares so common to games around the world. And, more importantly, the fascinating mathematics behind it. From the Knight's Tour Problem and Queens Domination to their many variations, John Watkins surveys all the well-known problems in this surprisingly fertile area of recreational mathematics. Can a knight follow a path that covers every square once, ending on the starting square? How many queens are needed so that every square is targeted or occupied by one of the queens? Each main topic is treated in depth from its historical conception through to its status today. Many beautiful solutions have emerged for basic chessboard problems since mathematicians first began working on them in earnest over three centuries ago, but such problems, including those involving polyominoes, have now been extended to three-dimensional chessboards and even chessboards on unusual surfaces such as toruses (the equivalent of playing chess on a doughnut) and cylinders. Using the highly visual language of graph theory, Watkins gently guides the reader to the forefront of current research in mathematics. By solving some of the many exercises sprinkled throughout, the reader can share fully in the excitement of discovery. Showing that chess puzzles are the starting point for important mathematical ideas that have resonated for centuries, Across the Board will captivate students and instructors, mathematicians, chess enthusiasts, and puzzle devotees.
Action-minimizing Methods in Hamiltonian Dynamics: An Introduction to Aubry-Mather Theory
by Alfonso SorrentinoJohn Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach--known as Aubry-Mather theory--singles out the existence of special orbits and invariant measures of the system, which possess a very rich dynamical and geometric structure. In particular, the associated invariant sets play a leading role in determining the global dynamics of the system. This book provides a comprehensive introduction to Mather's theory, and can serve as an interdisciplinary bridge for researchers and students from different fields seeking to acquaint themselves with the topic.Starting with the mathematical background from which Mather's theory was born, Alfonso Sorrentino first focuses on the core questions the theory aims to answer--notably the destiny of broken invariant KAM tori and the onset of chaos--and describes how it can be viewed as a natural counterpart of KAM theory. He achieves this by guiding readers through a detailed illustrative example, which also provides the basis for introducing the main ideas and concepts of the general theory. Sorrentino then describes the whole theory and its subsequent developments and applications in their full generality.Shedding new light on John Mather's revolutionary ideas, this book is certain to become a foundational text in the modern study of Hamiltonian systems.
Actionable Science of Global Environment Change: From Big Data to Practical Research
by Ziheng SunThis volume teaches readers how to sort through the vast mountain of climate and environmental science data to extract actionable insights. With the advancements in sensing technology, we now observe petabytes of data related to climate and the environment. While the volume of data is impressive, collecting big data for the sake of data alone proves to be of limited utility. Instead, our quest is for actionable data that can drive tangible actions and meaningful impact.Yet, unearthing actionable insights from the accumulated big data and delivering them to global stakeholders remains a burgeoning field. Although traditional data mining struggles to keep pace with data accumulation, scientific evolution has spurred the emergence of new technologies like numeric modeling and machine learning. These cutting-edge tools are now tackling grand challenges in climate and the environment, from forecasting extreme climate events and enhancing environmental productivity to monitoring greenhouse gas emissions, fostering smart environmental solutions, and understanding aerosols. Additionally, they model environmental-human interactions, inform policy, and steer markets towards a healthier and more environment-friendly direction.While there's no universal solution to address all these formidable tasks, this book takes us on a guided journey through three sections, enriched with chapters from domain scientists. Part I defines actionable science and explores what truly renders data actionable. Part II showcases compelling case studies and practical use scenarios, illustrating these principles in action. Finally, Part III provides an insightful glimpse into the future of actionable science, focusing on the pressing climate and environmental issues we must confront.Embark on this illuminating voyage with us, where big data meets practical research, and discover how our collective efforts move us closer to a sustainable and thriving future. This book is an invitation to unlock the mysteries of our environment, transforming data into decisive action for generations to come.
Actions and Invariants of Algebraic Groups (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by Alvaro Rittatore Walter Ferrer SantosActions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.
ActivEpi Companion Textbook: A supplement for use with the ActivEpi CD-ROM
by David G. Kleinbaum Kevin M. Sullivan Nancy D. BarkerThis Companion Textbook supplements the ActivEpi CD-ROM, sold separately. The ActivEpi CD-ROM provides a multimedia presentation of concepts, commonly taught in an introductory epidemiology course. ActivEpi mixes a full array of media to motivate, explain, visualize and apply epidemiological concepts. Virtually all of the material on the ActivEpi CD-ROM is included in the Companion Textbook. Because individuals differ in their learning skills, the ActivEpi CD-ROM and the ActivEpi Companion Textbook offer readers different but related options on how to learn epidemiology. The Textbook can be used as a hardcopy reference of the textual materials contained on the CD-ROM, as a resource for the practice exercises, as a general reference, or even a self-contained textbook. ActivEpi includes 15 lessons and over 50 hours of content via more than 250 launchable activities and homework exercises. It can be used in a variety of teaching formats: distance learning, self-paced learning, on-campus courses, and short courses. For the latest additions to ActivEpi, visit David Kleinbaum's website.
Activating Math Talk: 11 Purposeful Techniques for Your Elementary Students (Corwin Mathematics Series)
by Paola Sztajn Daniel Heck Kristen MalzahnAchieve High-Quality Mathematics Discourse With Purposeful Talk Techniques Many mathematics teachers agree that engaging students in high quality discourse is important for their conceptual learning, but successfully promoting such discourse in elementary classrooms—with attention to the needs of every learner—can be a challenge. Activating Math Talk tackles this challenge by bringing practical, math-specific, productive discourse techniques that are applicable to any lesson or curriculum. Framed around 11 student-centered discourse techniques, this research-based book connects purposeful instructional techniques to specific lesson goals and includes a focus on supporting emergent multilingual learners. You will be guided through each technique with Classroom examples of tasks and techniques spanning grades K–5 Reflection moments to help you consider how key ideas relate to your own instruction Classroom vignettes that illustrate the techniques in action and provide opportunities to analyze and prepare for your own implementation Group discussion questions for engaging with colleagues in your professional community Achieving high-quality mathematics discourse is within your reach using the clear-cut techniques that activates your math talk efforts to promote every student’s conceptual learning.
Activating Math Talk: 11 Purposeful Techniques for Your Elementary Students (Corwin Mathematics Series)
by Paola Sztajn Daniel Heck Kristen MalzahnAchieve High-Quality Mathematics Discourse With Purposeful Talk Techniques Many mathematics teachers agree that engaging students in high quality discourse is important for their conceptual learning, but successfully promoting such discourse in elementary classrooms—with attention to the needs of every learner—can be a challenge. Activating Math Talk tackles this challenge by bringing practical, math-specific, productive discourse techniques that are applicable to any lesson or curriculum. Framed around 11 student-centered discourse techniques, this research-based book connects purposeful instructional techniques to specific lesson goals and includes a focus on supporting emergent multilingual learners. You will be guided through each technique with Classroom examples of tasks and techniques spanning grades K–5 Reflection moments to help you consider how key ideas relate to your own instruction Classroom vignettes that illustrate the techniques in action and provide opportunities to analyze and prepare for your own implementation Group discussion questions for engaging with colleagues in your professional community Achieving high-quality mathematics discourse is within your reach using the clear-cut techniques that activates your math talk efforts to promote every student’s conceptual learning.
Active Ageing and Labour Market Engagement: Evidence from Eastern India
by Zakir HusainThe book provides an interesting analysis of the time-use data to examine the extent to which active ageing is occurring in India. It also synthesizes data from the National Sample Survey Office All India Survey and another survey undertaken in Kolkata, Bhubaneswar, and Ranchi (capital cities of East Indian states) to examine the role of the aged in the Indian Society. Nearly all countries in the world are experiencing an important issue of ageing. India faces its own set of challenges with its aging population due to the absence of a social security system—the shifting family dynamics questions the contribution of the elderly to the family in every aspect. Econometric models have been used in the book to study gender differences and variations across socio-economic conditions, correlating them to the contribution of the aged to their families and the extent of active ageing. The book broadens the understanding on the aged and facilitates their integration in the society so that they can age more actively. Active Ageing and Labour Market Engagement offers an analytical perspective to professionals, researchers, and policy makers interested in gerontology.
Active Assisted Living: Anwendungsszenarien und Lösungsansätze für ein selbstbestimmtes Leben
by Marcel Sailer Andreas MahrIn dem vorliegenden Open-Access-Buch identifizieren Studierende und Lehrende interprofessionell Entwicklungen und Problemfelder der Assistiven Technologien. Diese halten zunehmend Einzug ins Leben versorgungsbedürftiger, häufig älterer Menschen. Nach einigen Jahren der Entwicklung kann konstatiert werden, dass der Transfer von Entwicklung zur Anwendung im Alltag infolge unterschiedlicher Perspektiven und Zielsetzungen nur unzureichend stattfindet. Die Beitragsautoren bieten kreative Lösungsansätze, die zu einer nachhaltigen Umsetzung führen sollen.Dies ist ein Open-Access-Buch.
Active Inference: 4th International Workshop, IWAI 2023, Ghent, Belgium, September 13–15, 2023, Revised Selected Papers (Communications in Computer and Information Science #1915)
by Tim Verbelen Pablo Lanillos Christopher L. Buckley Daniela Cialfi Maxwell Ramstead Noor Sajid Hideaki Shimazaki Martijn WisseThis volume constitutes the papers of the 4th International Workshop on Active Inference, IWAI 2023, held in Ghent, Belgium on September 2023.The 17 full papers included in this book were carefully reviewed and selected from 34 submissions. They were organized in topical sections as follows: active inference and robotics; decision-making and control; active inference and psychology; from theory to implementation; learning representations for active inference; and theory of learning and inference.
Active Inference: 5th International Workshop, IWAI 2024, Oxford, UK, September 9–11, 2024, Revised Selected Papers (Communications in Computer and Information Science #2193)
by Tim Verbelen Pablo Lanillos Christopher L. Buckley Daniela Cialfi Noor Sajid Hideaki Shimazaki Martijn Wisse Riddhi J. PitliyaThis book constitutes the revised selected papers of the 5th International Workshop on Active Inference, IWAI 2024, held in Oxford, UK, during September 9–11, 2024. The 17 full papers included in this book were carefully reviewed and selected from 54 submissions. They were organized in topical sections as follows: Modeling Behaviour and Emotions; Hybrid Continuous-discrete Systems; Structure Learning; Multi-agent Systems; Epistemic Sampling; Robot Control; and Sustainability and Contextuality.
Active Inference: First International Workshop, IWAI 2020, Co-located with ECML/PKDD 2020, Ghent, Belgium, September 14, 2020, Proceedings (Communications in Computer and Information Science #1326)
by Tim Verbelen Pablo Lanillos Christopher L. Buckley Cedric De BoomThis book constitutes the refereed proceedings of the First International Workshop on Active Inference, IWAI 2020, co-located with ECML/PKDD 2020, held in Ghent, Belgium, in September 2020. The 13 full papers along with 6 short papers were thoroughly reviewed and selected from 25 submissions. They are organized in the topical sections on active inference and continuous control; active inference and machine learning; active inference: theory and biology.
Active Inference: Third International Workshop, IWAI 2022, Grenoble, France, September 19, 2022, Revised Selected Papers (Communications in Computer and Information Science #1721)
by Tim Verbelen Pablo Lanillos Christopher L. Buckley Daniela Cialfi Maxwell Ramstead Noor Sajid Hideaki ShimazakiThis volume constitutes the papers of the 3rd International Workshop on Active Inference, IWAI 2022, held in Grenoble, France, in conjunction with ECML/PKDD, on September 19, 2022.The 25 revised full papers presented in this book were carefully reviewed and selected from 31 submissions.
Active Lighting and Its Application for Computer Vision: 40 Years of History of Active Lighting Techniques (Advances in Computer Vision and Pattern Recognition)
by Katsushi Ikeuchi Yasuyuki Matsushita Ryusuke Sagawa Hiroshi Kawasaki Yasuhiro Mukaigawa Ryo Furukawa Daisuke MiyazakiThis book describes active illumination techniques in computer vision. We can classify computer vision techniques into two classes: passive and active techniques. Passive techniques observe the scene statically and analyse it as is. Active techniques give the scene some actions and try to facilitate the analysis. In particular, active illumination techniques project specific light, for which the characteristics are known beforehand, to a target scene to enable stable and accurate analysis of the scene. Traditional passive techniques have a fundamental limitation. The external world surrounding us is three-dimensional; the image projected on a retina or an imaging device is two-dimensional. That is, reduction of one dimension has occurred. Active illumination techniques compensate for the dimensional reduction by actively controlling the illumination. The demand for reliable vision sensors is rapidly increasing in many application areas, such as robotics and medical image analysis. This book explains this new endeavour to explore the augmentation of reduced dimensions in computer vision. This book consists of three parts: basic concepts, techniques, and applications. The first part explains the basic concepts for understanding active illumination techniques. In particular, the basic concepts of optics are explained so that researchers and engineers outside the field can understand the later chapters. The second part explains currently available active illumination techniques, covering many techniques developed by the authors. The final part shows how such active illumination techniques can be applied to various domains, describing the issue to be overcome by active illumination techniques and the advantages of using these techniques. This book is primarily aimed at 4th year undergraduate and 1st year graduate students, and will also help engineers from fields beyond computer vision to use active illumination techniques. Additionally, the book is suitable as course material for technical seminars.
Active Particles, Volume 1: Advances in Theory, Models, and Applications (Modeling and Simulation in Science, Engineering and Technology)
by Nicola Bellomo Pierre Degond Eitan TadmorThis volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics. The contributing authors are leading experts working in this challenging field, and each of their chapters provides a review of the most recent results in their areas and looks ahead to future research directions. The approaches to studying active matter are presented here from many different perspectives, such as individual-based models, evolutionary games, Brownian motion, and continuum theories, as well as various combinations of these. Applications covered include biological network formation and network theory; opinion formation and social systems; control theory of sparse systems; theory and applications of mean field games; population learning; dynamics of flocking systems; vehicular traffic flow; and stochastic particles and mean field approximation. Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.
Active Particles, Volume 2: Advances in Theory, Models, and Applications (Modeling and Simulation in Science, Engineering and Technology)
by Nicola Bellomo Pierre Degond Eitan TadmorThis volume compiles eight recent surveys that present state-of-the-art results in the field of active matter at different scales, modeled by agent-based, kinetic, and hydrodynamic descriptions. Following the previously published volume, these chapters were written by leading experts in the field and accurately reflect the diversity of subject matter in theory and applications. Several mathematical tools are employed throughout the volume, including analysis of nonlinear PDEs, network theory, mean field approximations, control theory, and flocking analysis. The book also covers a wide range of applications, including:Biological network formationSocial systemsControl theory of sparse systemsDynamics of swarming and flocking systemsStochastic particles and mean field approximationsMathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.