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Chaotic modelling and simulation, Skiadas, Christos H. Skiadas, Charilaos

Chaotic modelling and simulation

Автор: Skiadas, Christos H. Skiadas, Charilaos
Название:  Chaotic modelling and simulation
Издательство: Taylor&Francis
Классификация:
Прикладная математика

ISBN: 142007900X
ISBN-13(EAN): 9781420079005
ISBN: 1-420-07900-X
ISBN-13(EAN): 978-1-420-07900-5
Обложка/Формат: Hardback
Страницы: 364
Вес: 0.662 кг.
Дата издания: 22.09.2008
Язык: ENG
Иллюстрации: 500 black & white illustrations
Размер: 23.62 x 15.75 x 2.54 cm
Читательская аудитория: Postgraduate, research & scholarly
Подзаголовок: Analysis of chaotic models, attractors and forms
Рейтинг:
Поставляется из: Англии
Описание: Offers standard and novel approaches for the modeling of systems. This book examines the behavior of particular classes of models. It presents the main models developed by pioneers of chaos theory, along with fresh extensions and variations of these models. It focuses on classical forms and attractors and simulation methods and techniques.
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Regular and Chaotic Oscillations

Автор: Landa Polina S.
Название: Regular and Chaotic Oscillations
ISBN: 3540410015 ISBN-13(EAN): 9783540410010
Издательство: Springer
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Цена: 12704 р.
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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 up-to-date topics are synchronization and chaotization of self-oscillatory 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.

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Chaotic Dynamics

Автор: Tam?s T?l
Название: Chaotic Dynamics
ISBN: 0521547830 ISBN-13(EAN): 9780521547833
Издательство: Cambridge Academ
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Цена: 4820 р.
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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 in-depth 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.

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IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics / Proceedings of the IUTAM Symposium held in Rome, Italy, 8-13 June 2003

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, 8-13 June 2003
ISBN: 1402032676 ISBN-13(EAN): 9781402032677
Издательство: Springer
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Цена: 30723 р.
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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 non-smooth systems, dimensionality and reduced-order models of continuous systems, exploitation of dynamical systems properties for applications, implications of chaos for design and operating conditions, control of spatio-temporal dynamics.For scientists from Engineering and Physics communities, this book will provide first-hand information on recent developments in nonlinear dynamics, chaos and control of mechanical systems and processes.

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High-Dimensional Chaotic and Attractor Systems / A Comprehensive Introduction

Автор: Ivancevic Vladimir G., Ivancevic Tijana T.
Название: High-Dimensional Chaotic and Attractor Systems / A Comprehensive Introduction
ISBN: 1402054556 ISBN-13(EAN): 9781402054556
Издательство: Springer
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Цена: 10776 р.
Наличие на складе: Нет в наличии.

Описание: This is a graduate–level monographic textbook devoted to understanding, prediction and control of high–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 high–dimensional chaotic and attractor dynamics.The book has nine Chapters. The first Chapter gives a textbook-like introduction into the low-dimensional attractors and chaos. This Chapter has an inspirational character, similar to other books on nonlinear dynamics and deterministic chaos. The second Chapter deals with Smale’s topological transformations of stretching, squeezing and folding (of the system’s phase–space), developed for the purpose of chaos theory. The third Chapter is devoted to PoincarГ©'s 3-body problem and basic techniques of chaos control, mostly of Ott-Grebogi-Yorke type. The fourth Chapter is a review of both Landau’s and topological phase transition theory, as well as Haken’s synergetics. The fifth Chapter deals with phase synchronization in high-dimensional chaotic systems. The sixth Chapter presents high-tech 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 parameter–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 high-dimensional nonlinear dynamics (including geometries, gauges and solitons, culminating into the chaos field theory).

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Analysis of Observed Chaotic Data

Автор: Abarbanel
Название: Analysis of Observed Chaotic Data
ISBN: 0387983724 ISBN-13(EAN): 9780387983721
Издательство: Springer
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Цена: 5037 р.
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Описание: Emphasizing the use of the modern mathematical tools for investigating chaotic behavior to uncover properties of physical systems, this book requires knowledge of dynamical systems at the advanced undergraduate level.

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Nonlinear Dynamics, Chaotic and Complex Systems

Автор: Infeld
Название: Nonlinear Dynamics, Chaotic and Complex Systems
ISBN: 0521152941 ISBN-13(EAN): 9780521152945
Издательство: Cambridge Academ
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Цена: 2804 р.
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Описание: The physics and mathematics of nonlinear dynamics and chaotic and complex systems constitute some of the most fascinating developments of late twentieth-century 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.

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Analysis and Simulation of Chaotic Systems

Автор: Hoppensteadt
Название: Analysis and Simulation of Chaotic Systems
ISBN: 0387989439 ISBN-13(EAN): 9780387989433
Издательство: Springer
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Цена: 5925 р.
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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 quasi-static 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, differential-delay, 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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Chaos Theory: Modeling, Simulation And Applications - Selected Papers From The 3Rd Chaotic Modeling And Simulation International Conference (Chaos2010)

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 ISBN-13(EAN): 9789814350334
Издательство: World Scientific Publishing
Рейтинг:
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.

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Chaotic Vibrations: An Introduction for Applied Scientists and Engineers

Автор: Francis C. Moon
Название: Chaotic Vibrations: An Introduction for Applied Scientists and Engineers
ISBN: 0471679089 ISBN-13(EAN): 9780471679080
Издательство: Wiley
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Цена: 3960 р.
Наличие на складе: Нет в наличии.

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.

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Singularities in Gravitational Systems / Applications to Chaotic Transport in the Solar System

Автор: Benest Daniel, Froeschle Claude
Название: Singularities in Gravitational Systems / Applications to Chaotic Transport in the Solar System
ISBN: 3540437657 ISBN-13(EAN): 9783540437659
Издательство: Springer
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Цена: 3846 р.
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Описание: Chaos theory plays an important role in modern physics and related sciences, but -, the most important results so far have been obtained in the study of gravitational systems applied to celestial mechanics. The present set of lectures introduces the mathematical methods used in the theory of singularities in gravitational systems, reviews modeling techniques for the simulation of close encounters and presents the state of the art about the study of diffusion of comets, wandering asteroids, meteors and planetary ring particles. The book will be of use to researchers and graduate students alike.

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Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems

Автор: Steves B.A., Maciejewski A.J., Hendry M.
Название: Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems
ISBN: 1402047045 ISBN-13(EAN): 9781402047046
Издательство: Springer
Рейтинг:
Цена: 23793 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The gravitational N-body 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 chaos’ signature and developing new theories on the sources of chaotic behaviour. They are applying these techniques successfully to solve real-world 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 N-Body 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 n-body 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 n-body dynamics to their application to real motion in planetary systems. This volume presents an up-to-date synoptic view of the subject.

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Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems

Автор: Steves B.A., Maciejewski A.J., Hendry M.
Название: Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems
ISBN: 1402047053 ISBN-13(EAN): 9781402047053
Издательство: Springer
Рейтинг:
Цена: 10779 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The gravitational N-body 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 chaos’ signature and developing new theories on the sources of chaotic behaviour. They are applying these techniques successfully to solve real-world 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 N-Body 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 n-body 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 n-body dynamics to their application to real motion in planetary systems. This volume presents an up-to-date synoptic view of the subject.

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