Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom (Annals of Mathematics Studies)

About the Author\nVadim Kaloshin is the Michael Brin Chair in Mathematics at the University of Maryland, College Park. He was a student of John Mather at Princeton University. Ke Zhang is associate professor of mathematics at the University of Toronto.\nThe first complete proof of Arnold diffusion―one of the most important problems in dynamical systems and mathematical physics\nArnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics. Since it was discovered by Vladimir Arnold in 1963, it has attracted the efforts of some of the most prominent researchers in mathematics. The question is whether a typical perturbation of a particular system will result in chaotic or unstable dynamical phenomena. In this groundbreaking book, Vadim Kaloshin and Ke Zhang provide the first complete proof of Arnold diffusion, demonstrating that that there is topological instability for typical perturbations of five-dimensional integrable systems (two and a half degrees of freedom).\nThis proof realizes a plan John Mather announced in 2003 but was unable to complete before his death. Kaloshin and Zhang follow Mather's strategy but emphasize a more Hamiltonian approach, tying together normal forms theory, hyperbolic theory, Mather theory, and weak KAM theory. Offering a complete, clean, and modern explanation of the steps involved in the proof, and a clear account of background material, this book is designed to be accessible to students as well as researchers. The result is a critical contribution to mathematical physics and dynamical systems, especially Hamiltonian systems.

Science & Math

Zhang, Ke

Kaloshin, Vadim

Mathematics

Princeton University Press

The first complete proof of Arnold diffusion--one of the most important problems in dynamical systems and mathematical physics Arnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics. Since it was discovered by Vladimir Arnold in 1963, it has attracted the efforts of some of the most prominent researchers in mathematics. The question is whether a typical perturbation of a particular system will result in chaotic or unstable dynamical phenomena. In this groundbreaking book, Vadim Kaloshin and Ke Zhang provide the first complete proof of Arnold diffusion, demonstrating that that there is topological instability for typical perturbations of five-dimensional integrable systems (two and a half degrees of freedom). This proof realizes a plan John Mather announced in 2003 but was unable to complete before his death. Kaloshin and Zhang follow Mather's strategy but emphasize a more Hamiltonian approach, tying together normal forms theory, hyperbolic theory, Mather theory, and weak KAM theory. Offering a complete, clean, and modern explanation of the steps involved in the proof, and a clear account of background material, this book is designed to be accessible to students as well as researchers. The result is a critical contribution to mathematical physics and dynamical systems, especially Hamiltonian systems.

This is an essential resource for anyone designing or facilitating online learning. It introduces an easy, practical model (R2D2: read, reflect, display, and do) that will show online educators how to deliver content in ways that benefit all types of learners (visual, auditory, observational, and kinesthetic) from a wide variety of backgrounds and skill levels. With a solid theoretical foundation and concrete guidance and examples, this book can be used as a handy reference, a professional guidebook, or a course text. The authors intend for it to help online instructors and instructional designers as well as those contemplating such positions design, develop, and deliver learner-centered online instruction. 
Empowering Online Learning has 25 unique activities for each phase of the R2D2 model as well as summary tables helping you pick and choose what to use whenever you need it. Each activity lists a description, skills addressed, advice, variations, cost, risk, and time index, and much more. This title is loaded with current information about emerging technologies (e.g., simulations, podcasts, wikis, blogs) and the Web 2.0. With a useful model, more than 100 online activities, the latest information on emerging technologies, hundreds of quickly accessible Web resources, and relevance to all types and ages of learners--Empowering Online Learning is a book whose time has come.

Empowering Online Learning: 100+ Activities for Reading, Reflecting, Displaying, and Doing

Computers & Technology

Bonk, Curtis J.

Networking & Cloud Computing

Jossey-Bass

This book investigates observer-fault estimation techniques in detail, while also highlighting recent research and findings regarding fault estimation. Many practical control systems are subject to possible malfunctions, which may cause significant performance loss or even system instability. To improve the reliability, performance and safety of dynamical systems, fault diagnosis techniques are now receiving considerable attention, both in research and applications, and have been the subject of intensive investigations. Fault detection – the essential first step in fault diagnosis – is a binary decision-making process used to determine whether or not a fault has occurred. In turn, fault isolation is used to identify the location of the faulty component, while fault estimation is used to identify the size of the fault online. Compared with the problems involved in fault detection and isolation, fault estimation is considerably more challenging.

Observer-Based Fault Estimation Techniques (Studies in Systems, Decision and Control, 127)

Jiang, Bin

Shi, Peng

Cocquempot, Vincent

Computer Science

Springer

Due to the increasing security and reliability demand of actual industrial process control systems, the study on fault diagnosis and fault tolerant control of dynamic systems has received considerable attention. Fault accommodation (FA) is one of effective methods that can be used to enhance system stability and reliability, so it has been widely and in-depth investigated and become a hot topic in recent years.Fault detection is used to monitor whether a fault occurs, which is the first step in FA. On the basis of fault detection, fault estimation (FE) is utilized to determine online the magnitude of the fault, which is a very important step because the additional controller is designed using the fault estimate. Compared with fault detection, the design difficulties of FE would increase a lot, so research on FE and accommodation is very challenging. Although there have been advancements reported on FE and accommodation for dynamic systems, the common methods at the present stage have design difficulties, which limit applications of respective design approaches.Therefore, the problems of FE and accommodation are needed to be further studied. This book considers the theory and technology of FE and accommodation for dynamic systems, and establishes a systemic and comprehensive framework of FE and accommodation for continuous/discrete-time systems. 

Observer-Based Fault Estimation and Accomodation for Dynamic Systems (Lecture Notes in Control and Information Sciences, 436)

Reference

This is a monograph on calligraphy theories and a picture of cultural life in Song Dynasty.It covers topic from beer and skittles to politics and culture.The author studies the rises and declines of dynasties as well as people destinies from creative perspectives.And the content does not confine to calligraphy or Song Dynasty.

Imaging Song Dynasty (Chinese Edition)

Haitian Publishing House

Minors emergency refuge safety education Reading(Chinese Edition)

Yellow River Conservancy Press

Failure Mechanism and Stability Analysis of Rock Slope: New Insight and Methods

This book presents in-depth coverage of laboratory experiments, theories, modeling techniques, and practices for the analysis and design of rock slopes in complex geological settings. It addresses new concepts in connection with the kinematical element method, discontinuity kinematical element method, integrated karst cave stochastic model-limit equilibrium method, improved strength reduction method, and fracture mechanics method, taking into account the relevant geological features. The book is chiefly intended as a reference guide for geotechnical engineering and engineering geology professionals, and as a textbook for related graduate courses.&nbsp;

Earth Sciences

See the best price to sell, buy, or rent books by Zhang, Ke. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Zhang, Ke

See the best price to sell, buy, or rent books by Zhang, Ke. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom (Annals of Mathematics Studies)

Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom (Annals of Mathematics Studies)

Empowering Online Learning: 100+ Activities for Reading, Reflecting, Displaying, and Doing

Observer-Based Fault Estimation Techniques (Studies in Systems, Decision and Control, 127)

Observer-Based Fault Estimation and Accomodation for Dynamic Systems (Lecture Notes in Control and Information Sciences, 436)

Imaging Song Dynasty (Chinese Edition)

Minors emergency refuge safety education Reading(Chinese Edition)

Failure Mechanism and Stability Analysis of Rock Slope: New Insight and Methods

Failure Mechanism and Stability Analysis of Rock Slope: New Insight and Methods