Handbook of Dynamical Systems Book

Handbook of Dynamical Systems


  • Author : A. Katok
  • Publisher : Elsevier
  • Release Date : 2005-12-17
  • Genre: Mathematics
  • Pages : 1234
  • ISBN 10 : 0080478220

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Handbook of Dynamical Systems Excerpt :

This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey “Principal Structures of Volume 1A. The present volume contains surveys on subjects in four areas of dynamical systems: Hyperbolic dynamics, parabolic dynamics, ergodic theory and infinite-dimensional dynamical systems (partial differential equations). . Written by experts in the field. . The coverage of ergodic theory in these two parts of Volume 1 is considerably more broad and thorough than that provided in other existing sources. . The final cluster of chapters discusses partial differential equations from the point of view of dynamical systems.

Handbook of Dynamical Systems Book

Handbook of Dynamical Systems


  • Author : B. Fiedler
  • Publisher : Gulf Professional Publishing
  • Release Date : 2002-02-21
  • Genre: Science
  • Pages : 1098
  • ISBN 10 : 9780080532844

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Handbook of Dynamical Systems Excerpt :

This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others. While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to name just a few, are ubiquitous dynamical concepts throughout the articles.

Handbook of Dynamical Systems Book

Handbook of Dynamical Systems


  • Author : B. Hasselblatt
  • Publisher : Elsevier
  • Release Date : 2002-08-20
  • Genre: Mathematics
  • Pages : 1232
  • ISBN 10 : 9780080533445

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Handbook of Dynamical Systems Excerpt :

Volumes 1A and 1B. These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys. The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics. Volume 1B will appear 2005.

Handbook of Dynamical Systems Book
Score: 5
From 1 Ratings

Handbook of Dynamical Systems


  • Author : H. Broer
  • Publisher : Elsevier
  • Release Date : 2010-11-10
  • Genre: Mathematics
  • Pages : 560
  • ISBN 10 : 0080932266

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Handbook of Dynamical Systems Excerpt :

In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature on the following subjects: transversality and generic properties like the various forms of the so-called Kupka-Smale theorem, the Closing Lemma and generic local bifurcations of functions (so-called catastrophe theory) and generic local bifurcations in 1-parameter families of dynamical systems, and notions of structural stability and moduli. Covers recent literature on various topics related to the theory of bifurcations of differentiable dynamical systems Highlights developments that are the foundation for future research in this field Provides material in the form of surveys, which are important tools for introducing the bifurcations of differentiable dynamical systems

Handbook of Dynamics and Probability Book

Handbook of Dynamics and Probability


  • Author : Peter Müller
  • Publisher : Springer Nature
  • Release Date : 2021-11-20
  • Genre: Science
  • Pages : 543
  • ISBN 10 : 9783030884864

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Handbook of Dynamics and Probability Excerpt :

Our time is characterized by an explosive growth in the use of ever more complicated and sophisticated (computer) models. These models rely on dynamical systems theory for the interpretation of their results and on probability theory for the quantification of their uncertainties. A conscientious and intelligent use of these models requires that both these theories are properly understood. This book is to provide such understanding. It gives a unifying treatment of dynamical systems theory and probability theory. It covers the basic concepts and statements of these theories, their interrelations, and their applications to scientific reasoning and physics. The book stresses the underlying concepts and mathematical structures but is written in a simple and illuminating manner without sacrificing too much mathematical rigor. The book is aimed at students, post-docs, and researchers in the applied sciences who aspire to better understand the conceptual and mathematical underpinnings of the models that they use. Despite the peculiarities of any applied science, dynamics and probability are the common and indispensable tools in any modeling effort. The book is self-contained, with many technical aspects covered in appendices, but does require some basic knowledge in analysis, linear algebra, and physics. Peter Müller, now a professor emeritus at the University of Hawaii, has worked extensively on ocean and climate models and the foundations of complex system theories.

Philosophy of Complex Systems Book

Philosophy of Complex Systems


  • Author : Anonim
  • Publisher : Elsevier
  • Release Date : 2011-05-23
  • Genre: Philosophy
  • Pages : 952
  • ISBN 10 : 0080931227

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Philosophy of Complex Systems Excerpt :

The domain of nonlinear dynamical systems and its mathematical underpinnings has been developing exponentially for a century, the last 35 years seeing an outpouring of new ideas and applications and a concomitant confluence with ideas of complex systems and their applications from irreversible thermodynamics. A few examples are in meteorology, ecological dynamics, and social and economic dynamics. These new ideas have profound implications for our understanding and practice in domains involving complexity, predictability and determinism, equilibrium, control, planning, individuality, responsibility and so on. Our intention is to draw together in this volume, we believe for the first time, a comprehensive picture of the manifold philosophically interesting impacts of recent developments in understanding nonlinear systems and the unique aspects of their complexity. The book will focus specifically on the philosophical concepts, principles, judgments and problems distinctly raised by work in the domain of complex nonlinear dynamical systems, especially in recent years. -Comprehensive coverage of all main theories in the philosophy of Complex Systems -Clearly written expositions of fundamental ideas and concepts -Definitive discussions by leading researchers in the field -Summaries of leading-edge research in related fields are also included

Handbook of dynamical systems Book

Handbook of dynamical systems


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2010
  • Genre: Uncategoriezed
  • Pages : null
  • ISBN 10 : OCLC:944496750

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Handbook of dynamical systems Excerpt :

Dynamical Systems Book

Dynamical Systems


  • Author : Zeraoulia Elhadj
  • Publisher : CRC Press
  • Release Date : 2019-01-21
  • Genre: Mathematics
  • Pages : 400
  • ISBN 10 : 9780429647420

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Dynamical Systems Excerpt :

Chaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly. Chaos is used for novel, time- or energy-critical interdisciplinary applications. Examples include high-performance circuits and devices, liquid mixing, chemical reactions, biological systems, crisis management, secure information processing, and critical decision-making in politics, economics, as well as military applications, etc. This book presents the latest investigations in the theory of chaotic systems and their dynamics. The book covers some theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems. This book presents the state-of-the-art of the more advanced studies of chaotic dynamical systems.

A Modern Introduction to Dynamical Systems Book

A Modern Introduction to Dynamical Systems


  • Author : Richard Brown
  • Publisher : Oxford University Press
  • Release Date : 2018-06-28
  • Genre: Mathematics
  • Pages : 432
  • ISBN 10 : 9780198743286

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A Modern Introduction to Dynamical Systems Excerpt :

This text is a high-level introduction to the modern theory of dynamical systems; an analysis-based, pure mathematics course textbook in the basic tools, techniques, theory and development of both the abstract and the practical notions of mathematical modelling, using both discrete and continuous concepts and examples comprising what may be called the modern theory of dynamics. Prerequisite knowledge is restricted to calculus, linear algebra and basic differential equations, and all higher-level analysis, geometry and algebra is introduced as needed within the text. Following this text from start to finish will provide the careful reader with the tools, vocabulary and conceptual foundation necessary to continue in further self-study and begin to explore current areas of active research in dynamical systems.

Chaos and Dynamical Systems Book

Chaos and Dynamical Systems


  • Author : David Feldman
  • Publisher : Princeton University Press
  • Release Date : 2019-08-06
  • Genre: Mathematics
  • Pages : 264
  • ISBN 10 : 9780691161525

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Chaos and Dynamical Systems Excerpt :

The author presents an accessible, clear introduction to dynamical systems and chaos theory, important and exciting areas that have shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is remarkably complex.

Handbook of Hybrid Systems Control Book

Handbook of Hybrid Systems Control


  • Author : Jan Lunze
  • Publisher : Cambridge University Press
  • Release Date : 2009-10-15
  • Genre: Computers
  • Pages : 565
  • ISBN 10 : 9780521765053

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Handbook of Hybrid Systems Control Excerpt :

Setting out core theory and reviewing a range of new methods, theoretical problems and applications, this handbook shows how hybrid dynamical systems can be modelled and understood. Sixty expert authors involved in the recent research activities and industrial application studies provide practical insights on topics ranging from the theoretical investigations over computer-aided design to applications in energy management and the process industry. Structured into three parts, the book opens with a thorough introduction to hybrid systems theory, illustrating new dynamical phenomena through numerous examples. Part II then provides a survey of key tools and tool integration activities. Finally, Part III is dedicated to applications, implementation issues and system integration, considering different domains such as industrial control, automotive systems and digital networks. Three running examples are referred to throughout the book, together with numerous illustrations, helping both researchers and industry professionals to understand complex theory, recognise problems and find appropriate solutions.

Chaos in Dynamical Systems Book
Score: 5
From 1 Ratings

Chaos in Dynamical Systems


  • Author : Edward Ott
  • Publisher : Cambridge University Press
  • Release Date : 2002-08-22
  • Genre: Mathematics
  • Pages : 478
  • ISBN 10 : 0521010845

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Chaos in Dynamical Systems Excerpt :

New edition of the best-selling graduate textbook on chaos for scientists and engineers.

Handbook of Dynamic System Modeling Book

Handbook of Dynamic System Modeling


  • Author : Paul A. Fishwick
  • Publisher : CRC Press
  • Release Date : 2007-06-01
  • Genre: Mathematics
  • Pages : 760
  • ISBN 10 : 1420010859

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Handbook of Dynamic System Modeling Excerpt :

The topic of dynamic models tends to be splintered across various disciplines, making it difficult to uniformly study the subject. Moreover, the models have a variety of representations, from traditional mathematical notations to diagrammatic and immersive depictions. Collecting all of these expressions of dynamic models, the Handbook of Dynamic System Modeling explores a panoply of different types of modeling methods available for dynamical systems. Featuring an interdisciplinary, balanced approach, the handbook focuses on both generalized dynamic knowledge and specific models. It first introduces the general concepts, representations, and philosophy of dynamic models, followed by a section on modeling methodologies that explains how to portray designed models on a computer. After addressing scale, heterogeneity, and composition issues, the book covers specific model types that are often characterized by specific visual- or text-based grammars. It concludes with case studies that employ two well-known commercial packages to construct, simulate, and analyze dynamic models. A complete guide to the fundamentals, types, and applications of dynamic models, this handbook shows how systems function and are represented over time and space and illustrates how to select a particular model based on a specific area of interest.

Qualitative Theory of Dynamical Systems Book

Qualitative Theory of Dynamical Systems


  • Author : Anthony Michel
  • Publisher : CRC Press
  • Release Date : 2001-01-04
  • Genre: Mathematics
  • Pages : 732
  • ISBN 10 : 0203908295

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Qualitative Theory of Dynamical Systems Excerpt :

"Illuminates the most important results of the Lyapunov and Lagrange stability theory for a general class of dynamical systems by developing topics in a metric space independantly of equations, inequalities, or inclusions. Applies the general theory to specific classes of equations. Presents new and expanded material on the stability analysis of hybrid dynamical systems and dynamical systems with discontinuous dynamics."

Dynamical Systems and Chaos Book

Dynamical Systems and Chaos


  • Author : Henk Broer
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-10-20
  • Genre: Mathematics
  • Pages : 313
  • ISBN 10 : 9781441968708

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Dynamical Systems and Chaos Excerpt :

Over the last four decades there has been extensive development in the theory of dynamical systems. This book aims at a wide audience where the first four chapters have been used for an undergraduate course in Dynamical Systems. Material from the last two chapters and from the appendices has been used quite a lot for master and PhD courses. All chapters are concluded by an exercise section. The book is also directed towards researchers, where one of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory.