

Автор: Hoppensteadt Название: Analysis and Simulation of Chaotic Systems ISBN: 0387989439 ISBN13(EAN): 9780387989433 Издательство: Springer Цена: 5617 р. Наличие на складе: Есть у поставщика.Поставка под заказ. Описание: Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable mathematical models that are
amenable to further mathematical analysis or to elucidating computer simulations. For the most part, derivations are based on perturbation methods. Because of this, the majority of the
text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasistatic state approximation methods.
The duality between stability and
perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. This explains why stability results developed for quite simple problems are
often useful for more complicated, even chaotic, ones. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differentialdelay, integro
differential and ordinary and partial differential equations are developed throughout the book.
For the second edition, the author has restructured the chapters, placing special
emphasis on introductory materials in Chapters 1 and 2 as distinct from presentation materials in Chapters 3 through
8. In addition, more material on bifurcations from the point of view of canonical models, sections on randomly perturbed systems, and several new computer simulations have been
added.
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Автор: Tam?s T?l Название: Chaotic Dynamics ISBN: 0521547830 ISBN13(EAN): 9780521547833 Издательство: Cambridge Academ Цена: 4820 р. Наличие на складе: Есть у поставщика.Поставка под заказ. Описание: In the past few decades we have come to understand that even motions in simple systems can have complex and surprising properties. Chaotic Dynamics provides a clear introduction to these chaotic phenomena, based on geometrical interpretations and simple arguments, without the need for prior indepth scientific and mathematical knowledge. Richly illustrated throughout, examples are taken from classical mechanics whose elementary laws are familiar to the reader. In order to emphasize the general features of chaos, the most important relations are also given in simple mathematical forms, independent of any mechanical interpretation. A broad range of potential applications are presented, ranging from everyday phenomena through engineering and environmental problems to astronomical aspects. Chaos occurs in a variety of scientific disciplines, and proves to be the rule, not the exception. This book is primarily intended for undergraduate students in science, engineering, and mathematics. Купить
 

Автор: Rega G., Vestroni F. Название: IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics / Proceedings of the IUTAM Symposium held in Rome, Italy, 813 June 2003 ISBN: 1402032676 ISBN13(EAN): 9781402032677 Издательство: Springer Цена: 22253 р. Наличие на складе: Есть у поставщика.Поставка под заказ. Описание: The interest of the applied mechanics community towards chaotic dynamics of engineering systems has exploded in the last fifteen years. Today, it is generally accepted that nonlinear vibration problems of advanced systems should be addressed through the combined use of analytical, computational, geometrical and experimental approaches, by paying also attention to the interaction with control features. The outstanding points of these proceedings are a coherent compendium of the current state of theory and applications of nonlinear and chaotic dynamics in mechanics, along with their control. Subject areas include: Bifurcation and chaos, mechanical and structural systems, nonsmooth dynamics, delay and random systems, control of systems and processes, synchronization and control of chaos.Major achievements are highlighted as regards: Complex systems and processes for classical and innovative applications, features of nonlinear interactions, patterns of novel bifurcations of nonsmooth systems, dimensionality and reducedorder models of continuous systems, exploitation of dynamical systems properties for applications, implications of chaos for design and operating conditions, control of spatiotemporal dynamics.For scientists from Engineering and Physics communities, this book will provide firsthand information on recent developments in nonlinear dynamics, chaos and control of mechanical systems and processes. Купить
 

Автор: Steves B.A., Maciejewski A.J., Hendry M. Название: Chaotic Worlds: from Order to Disorder in Gravitational NBody Dynamical Systems ISBN: 1402047045 ISBN13(EAN): 9781402047046 Издательство: Springer Цена: 16863 р. Наличие на складе: Есть у поставщика.Поставка под заказ. Описание: The gravitational Nbody problem dominates much of theoretical astrophysics. It arises in problems ranging from the motion of artificial and natural satellites to the behaviour of stars in star clusters and galaxies. In the past, research in Celestial Mechanics has focused on analytical and numerical studies of ordered systems, with chaotic behaviour or disorder being the fascinating anomaly. Recently, however, scientists have begun to forge the link between order and disorder: designing new methods to recognise chaosвЂ™ signature and developing new theories on the sources of chaotic behaviour. They are applying these techniques successfully to solve realworld problems in solar system dynamics, galactic dynamics and other areas of physics such as particle acceleration. Based on the recent NATO Advanced Study Institute "Chaotic Worlds: From Order to Disorder in Gravitational NBody Dynamical Systems", this state of the art textbook, written by internationally renowned experts, provides an invaluable reference volume for all students and researchers in gravitational nbody systems. The contributions are especially designed to give a systematic development from the fundamental mathematics which underpin modern studies of ordered and chaotic behaviour in nbody dynamics to their application to real motion in planetary systems. This volume presents an uptodate synoptic view of the subject. Купить
 

Автор: Ivancevic Vladimir G., Ivancevic Tijana T. Название: HighDimensional Chaotic and Attractor Systems / A Comprehensive Introduction ISBN: 1402054556 ISBN13(EAN): 9781402054556 Издательство: Springer Цена: 10776 р. Наличие на складе: Нет в наличии. Описание: This is a graduateвЂ“level monographic textbook devoted to understanding, prediction and control of highвЂ“dimensional chaotic and attractor systems of real life. The objective of the book is to provide the serious reader with a serious scientific tool that will enable the actual performance of competitive research in highвЂ“dimensional chaotic and attractor dynamics.The book has nine Chapters. The first Chapter gives a textbooklike introduction into the lowdimensional attractors and chaos. This Chapter has an inspirational character, similar to other books on nonlinear dynamics and deterministic chaos. The second Chapter deals with SmaleвЂ™s topological transformations of stretching, squeezing and folding (of the systemвЂ™s phaseвЂ“space), developed for the purpose of chaos theory. The third Chapter is devoted to PoincarГ©'s 3body problem and basic techniques of chaos control, mostly of OttGrebogiYorke type. The fourth Chapter is a review of both LandauвЂ™s and topological phase transition theory, as well as HakenвЂ™s synergetics. The fifth Chapter deals with phase synchronization in highdimensional chaotic systems. The sixth Chapter presents hightech Josephson junctions, the basic components for the future quantum computers. The seventh Chapter deals with fractals and fractional Hamiltonian dynamics. The 8th Chapter gives a review of modern techniques for dealing with turbulence, ranging from the parameterвЂ“space of the Lorenz attractor to the Lie symmetries. The last, 9th, Chapter attempts to give a brief on the cutting edge techniques of the highdimensional nonlinear dynamics (including geometries, gauges and solitons, culminating into the chaos field theory). Купить
 

Автор: Hunt Название: The Theory of Chaotic Attractors ISBN: 0387403493 ISBN13(EAN): 9780387403496 Издательство: Springer Цена: 4847 р. Наличие на складе: Есть у поставщика.Поставка под заказ. Описание: This volume contains a selection of the most important papers in the theory of chaotic attractors over the past 40 years. It is dedicated
to James Yorke  a pioneer in the field and a recipient of the 2003 Japan prize  on the occasion of his 60th birthday. The volume includes an introduction to Yorke's work and an
overview of key developments in the theory of chaotic attractors.
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Автор: Infeld Название: Nonlinear Dynamics, Chaotic and Complex Systems ISBN: 0521152941 ISBN13(EAN): 9780521152945 Издательство: Cambridge Academ Цена: 2804 р. Наличие на складе: Есть у поставщика.Поставка под заказ. Описание: The physics and mathematics of nonlinear dynamics and chaotic and complex systems constitute some of the most fascinating developments of late twentiethcentury science. It turns out that chaotic behaviour can be understood, and even utilized, to a far greater degree than had been suspected. Surprisingly, universal constants have been discovered. The implications have changed our understanding of important phenomena in physics, biology, chemistry, economics, medicine and numerous other fields of human endeavour. In this book, two dozen scientists and mathematicians who were deeply involved in the ‘nonlinear revolution’ cover most of the basic aspects of the field. The book is divided into five parts: dynamical systems, bifurcation theory and chaos; spatially extended systems; dynamical chaos, quantum physics and the foundations of statistical mechanics; evolutionary and cognitive systems; and complex systems as an interface between the sciences. Купить
 

Автор: Gitterman Moshe Название: Chaotic Pendulum ISBN: 9814322008 ISBN13(EAN): 9789814322003 Издательство: World Scientific Publishing Цена: 7260 р. Наличие на складе: Есть у поставщика.Поставка под заказ. Купить
 

Автор: SchГјtze Manfred, Butler David, Beck Bruce M. Название: Modelling, Simulation and Control of Urban Wastewater Systems ISBN: 185233553X ISBN13(EAN): 9781852335533 Издательство: Springer Цена: 9005 р. Наличие на складе: Есть у поставщика.Поставка под заказ. Описание: This book encourages and demonstrates an innovative approach to the design and operation of urban wastewater systems: integrated modelling and control. Consideration of sewer system, wastewater treatment plant and receiving water body as a single system (rather than as three moderately independent units as before) opens up new types of analyses and new control algorithms for urban wastewater systems.After a comprehensive review of the literature of various fields including processes affecting water flow and quality in urban wastewater systems and their description by different types of models, this book also introduces some of the fundamental concepts of the operation of such systems. It discusses conventional as well as innovative control approaches  ranging from control by simple setpoints to elaborate hierarchical control concepts taking into account the water flow and the quality of sewer systems, treatment plants and receiving water body. Thus it will enable the researcher as well as the practising engineer to analyse and to implement various types of control for a particular case study site. In order to illustrate the concepts developed, a detailed simulation study, covering the complete urban wastewater system, is presented. The conclusions drawn demonstrate that the application of innovative control concepts can lead to improved performance of wastewater systems.In addition, a comprehensive survey of mathematical optimisation methods is presented. This book can assist the practising engineer and the student to gain knowledge of all aspects of wastewater systems. To the researcher, this book provides a thorough survey of existing simulation and control concepts and inspiration for further work. Купить
 

Автор: Landa Polina S. Название: Regular and Chaotic Oscillations ISBN: 3540410015 ISBN13(EAN): 9783540410010 Издательство: Springer Цена: 7696 р. Наличие на складе: Есть у поставщика.Поставка под заказ. Описание: In this book the modern theory of both regular and chaotic nonlinear oscillations is set out, primarily, as applied to mechanical problems. The material is presented in a nontraditional manner with emphasis on the new results of the theory obtained partially by the author, who is one of the leading experts in the area. Among the uptodate topics are synchronization and chaotization of selfoscillatory systems and the influence of weak random vibrations on the modification of characteristics and behavior of nonlinear systems. One of the purposes of the book is to enable readers to gain a thorough understanding of this theory and to show that it can be very useful in engineering investigations. The primary audience for this book is researchers working with different oscillatory processes and students interested in a thorough study of the general laws and applications of the theory of nonlinear oscillations. Купить
 

Автор: Skiadas Christos H Et Al Название: Chaos Theory: Modeling, Simulation And Applications  Selected Papers From The 3Rd Chaotic Modeling And Simulation International Conference (Chaos2010) ISBN: 9814350338 ISBN13(EAN): 9789814350334 Издательство: World Scientific Publishing Цена: 12884 р. Наличие на складе: Есть у поставщика.Поставка под заказ. Описание: The work done in chaotic modeling and simulation has changed our views of the world around us and has introduced scientific tools, methods and techniques. This book includes advanced topics of these achievements on Chaos Theory which focuses on Chaotic Modeling, Simulation and Applications of the nonlinear phenomena. Купить
 

Автор: Francis C. Moon Название: Chaotic Vibrations: An Introduction for Applied Scientists and Engineers ISBN: 0471679089 ISBN13(EAN): 9780471679080 Издательство: Wiley Цена: 3960 р. Наличие на складе: Поставка под заказ. Описание: Translates new mathematical ideas in nonlinear dynamics and chaos into a language that engineers and scientists can understand, and gives specific examples and applications of chaotic dynamics in the physical world. Also describes how to perform both computer and physical experiments in chaotic dynamics. Topics cover Poincare maps, fractal dimensions and Lyapunov exponents, illustrating their use in specific physical examples. Includes an extensive guide to the literature, especially that relating to more mathematically oriented works; a glossary of chaotic dynamics terms; a list of computer experiments; and details for a demonstration experiment on chaotic vibrations. Купить
 
