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Handbook Of Dynamical Systems

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Handbook of Dynamical Systems

Handbook of Dynamical Systems Book
Author : H. Broer,F. Takens,B. Hasselblatt
Publisher : North Holland
Release : 2016-06
ISBN : 9780444638212
Language : En, Es, Fr & De

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Book Description :

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 Dynamical Systems

Handbook of Dynamical Systems Book
Author : H. Broer,F. Takens,B. Hasselblatt
Publisher : Elsevier
Release : 2010-11-10
ISBN : 9780080932262
Language : En, Es, Fr & De

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Book Description :

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 Dynamical Systems

Handbook of Dynamical Systems Book
Author : Boris Hasselblatt,B. Fiedler,A. B. Katok,Hendrik Wolter Broer
Publisher : North Holland
Release : 2002-03-07
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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

Handbook of dynamical systems Book
Author : Anonim
Publisher : Unknown
Release : 2010
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Handbook of dynamical systems book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Handbook of Dynamical Systems

Handbook of Dynamical Systems Book
Author : A. Katok,B. Hasselblatt
Publisher : Elsevier
Release : 2005-12-17
ISBN : 9780080478227
Language : En, Es, Fr & De

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Book Description :

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

Handbook of Dynamical Systems Book
Author : B. Fiedler
Publisher : North Holland
Release : 2002
ISBN : 9780444501684
Language : En, Es, Fr & De

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Book Description :

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

Handbook of Dynamical Systems Book
Author : B. Fiedler
Publisher : Gulf Professional Publishing
Release : 2002-02-21
ISBN : 9780080532844
Language : En, Es, Fr & De

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Book Description :

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

Handbook of Dynamical Systems Book
Author : B. Hasselblatt,A. Katok
Publisher : Elsevier
Release : 2002-08-20
ISBN : 9780080533445
Language : En, Es, Fr & De

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Book Description :

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 Hybrid Systems Control

Handbook of Hybrid Systems Control Book
Author : Jan Lunze,Françoise Lamnabhi-Lagarrigue
Publisher : Cambridge University Press
Release : 2009-10-15
ISBN : 0521765056
Language : En, Es, Fr & De

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Book Description :

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.

Stability Theory of Large Scale Dynamical Systems Handbook

Stability Theory of Large Scale Dynamical Systems Handbook Book
Author : Rebecca D. Bates,London College of Information Technology
Publisher : CreateSpace
Release : 2015-03-07
ISBN : 9781508760696
Language : En, Es, Fr & De

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Book Description :

The book will cover the introduction to the Topic and can be used as a very useful study material for those who want to learn the topic in brief via a short and complete book. We hope you find this book useful is shaping your future career, Iwork keynote Tips, Stability Theory Of Large Scale Dynamical Systems Handbook is one of the books covering various topics of science, technology and management published by London College of Information Technology. Please feel free to send us your enquiries related to our publications to [email protected]

Handbook of Chaos Control

Handbook of Chaos Control Book
Author : Eckehard Schöll,Heinz Georg Schuster
Publisher : John Wiley & Sons
Release : 2008-09-08
ISBN : 3527622322
Language : En, Es, Fr & De

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Book Description :

This long-awaited revised second edition of the standard reference on the subject has been considerably expanded to include such recent developments as novel control schemes, control of chaotic space-time patterns, control of noisy nonlinear systems, and communication with chaos, as well as promising new directions in research. The contributions from leading international scientists active in the field provide a comprehensive overview of our current level of knowledge on chaos control and its applications in physics, chemistry, biology, medicine, and engineering. In addition, they show the overlap with the traditional field of control theory in the engineering community. An interdisciplinary approach of interest to scientists and engineers working in a number of areas.

Handbook of Dynamic System Modeling

Handbook of Dynamic System Modeling Book
Author : Paul A. Fishwick
Publisher : CRC Press
Release : 2019-08-30
ISBN : 9780367389048
Language : En, Es, Fr & De

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Book Description :

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.

Handbook of Applications of Chaos Theory

Handbook of Applications of Chaos Theory Book
Author : Christos H. Skiadas,Charilaos Skiadas
Publisher : CRC Press
Release : 2017-12-19
ISBN : 1466590440
Language : En, Es, Fr & De

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Book Description :

In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.

Discrete and Continuous Dynamical Systems

Discrete and Continuous Dynamical Systems Book
Author : Anonim
Publisher : Unknown
Release : 2009
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Discrete and Continuous Dynamical Systems book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Handbook for the Brain Dynamics Toolbox

Handbook for the Brain Dynamics Toolbox Book
Author : Stewart Heitmann,Michael Breakspear
Publisher : Unknown
Release : 2020-12-23
ISBN : 9780645066906
Language : En, Es, Fr & De

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Book Description :

The Brain Dynamics Toolbox is open-source software for simulating non-linear dynamical systems in Matlab. It is intended for students and researchers in computational neuroscience but can be applied to any domain. It specifically solves initial-value problems in systems of Ordinary Differential Equations (ODEs), Delay Differential Equations (DDEs) and Stochastic Differential Equations (SDEs). Each of which can be extended to a system of Partial Differential Equations (PDEs).The toolbox allows new dynamical systems to be rapidly prototyped and explored in an intuitive graphical application. Its hub-and-spoke software architecture allows interchangeable solver algorithms and plotting tools to be applied with no additional programming effort. Large-scale simulations can be run in user-defined scripts and the code for the model can be published independently of the toolbox.1st Prize Winner: 2018 Competition for Software on Dynamical Systems Theory and its Applications. Junior Faculty Category. Society for Industrial and Applied Mathematics (SIAM)Honourable Mention: 2019 Competition for Tutorials on Dynamical Systems Software. Junior Faculty Category. Society for Industrial and Applied Mathematics (SIAM)

Handbook of Reinforcement Learning and Control

Handbook of Reinforcement Learning and Control Book
Author : Kyriakos G. Vamvoudakis
Publisher : Springer Nature
Release : 2021-07-29
ISBN : 3030609901
Language : En, Es, Fr & De

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Book Description :

Download Handbook of Reinforcement Learning and Control book written by Kyriakos G. Vamvoudakis, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Handbook of Mathematical Economics

Handbook of Mathematical Economics Book
Author : W. Hildenbrand,H. Sonnenschein
Publisher : North Holland
Release : 1991-09-10
ISBN : 9780444874610
Language : En, Es, Fr & De

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Book Description :

The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field. The emphasis of this fourth volume of the Handbook of Mathematical Economics is on choice under uncertainty, general equilibrium analysis under conditions of uncertainty, economies with an infinite number of consumers or commodities, and dynamical systems. The book thus reflects some of the ideas that have been most influential in mathematical economics since the appearance of the first three volumes of the Handbook. Researchers, students, economists and mathematicians will all find this Handbook to be an indispensable reference source. It surveys the entire field of mathematical economics, critically reviewing recent developments. The chapters (which can be read independently) are written at an advanced level suitable for professional, teaching and graduate-level use. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes

Handbook of Topological Fixed Point Theory

Handbook of Topological Fixed Point Theory Book
Author : Robert F. Brown,M. Furi,L. Gorniewicz,Boju Jiang
Publisher : Springer Science & Business Media
Release : 2005-07-21
ISBN : 9781402032219
Language : En, Es, Fr & De

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Book Description :

This book will be especially useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems. The content is also likely to stimulate the interest of mathematical economists, population dynamics experts as well as theoretical physicists exploring the topological dynamics.

Handbook of Statistical Systems Biology

Handbook of Statistical Systems Biology Book
Author : Michael Stumpf,David J. Balding,Mark Girolami
Publisher : John Wiley & Sons
Release : 2011-09-09
ISBN : 1119952042
Language : En, Es, Fr & De

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Book Description :

Systems Biology is now entering a mature phase in which the key issues are characterising uncertainty and stochastic effects in mathematical models of biological systems. The area is moving towards a full statistical analysis and probabilistic reasoning over the inferences that can be made from mathematical models. This handbook presents a comprehensive guide to the discipline for practitioners and educators, in providing a full and detailed treatment of these important and emerging subjects. Leading experts in systems biology and statistics have come together to provide insight in to the major ideas in the field, and in particular methods of specifying and fitting models, and estimating the unknown parameters. This book: Provides a comprehensive account of inference techniques in systems biology. Introduces classical and Bayesian statistical methods for complex systems. Explores networks and graphical modeling as well as a wide range of statistical models for dynamical systems. Discusses various applications for statistical systems biology, such as gene regulation and signal transduction. Features statistical data analysis on numerous technologies, including metabolic and transcriptomic technologies. Presents an in-depth presentation of reverse engineering approaches. Provides colour illustrations to explain key concepts. This handbook will be a key resource for researchers practising systems biology, and those requiring a comprehensive overview of this important field.

Dynamical Systems with Applications using MATLAB

Dynamical Systems with Applications using MATLAB   Book
Author : Stephen Lynch
Publisher : Springer
Release : 2014-07-22
ISBN : 3319068202
Language : En, Es, Fr & De

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Book Description :

This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox® and the Symbolic Math toolbox®, including MuPAD. Features new to the second edition include · sections on series solutions of ordinary differential equations, perturbation methods, normal forms, Gröbner bases, and chaos synchronization; · chapters on image processing and binary oscillator computing; · hundreds of new illustrations, examples, and exercises with solutions; and · over eighty up-to-date MATLAB program files and Simulink model files available online. These files were voted MATLAB Central Pick of the Week in July 2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and physics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamical systems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. —OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown that this method of teaching using MATLAB works well with computer laboratory classes of small sizes.... I recommend ‘Dynamical Systems with Applications using MATLAB’ as a good handbook for a diverse readership: graduates and professionals in mathematics, physics, science and engineering. —Mathematica