Surveying A Dynamical System

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Surveying a Dynamical System

Author : Khalid Alhumaizi
Publisher : CRC Press
ISBN 13 : 9780582246881
Total Pages : 356 pages
Book Rating : 4.2/5 (468 download)

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Book Synopsis Surveying a Dynamical System by : Khalid Alhumaizi

Download or read book Surveying a Dynamical System written by Khalid Alhumaizi and published by CRC Press. This book was released on 1996-05-15 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: When a dynamical system has a large number of parameters it is not possible to get a completely comprehensive picture of all the types of behavior that it may display and one must be content with surveying the system along various corridors of lower dimension. Using an example with three differential equations and six parameters it is shown how the available methods of singularity theory, bifurcation analysis, normal forms, etc. can be used to build up a picture of varied and interesting behavior. The model is a generalization of the Gray-Scott reaction scheme in a single stirred vessel to a two-phase reactor consisting of a reaction chamber and a reservoir communicating with each other through a semi-permeable membrane. Two forms exist according as to whether A is fed to the reactor and B to the reservoir or vice-versa, and show interesting differences of behavior. Both models undergo Hopf bifurcations, pitchfork transitions, have homoclinic orbits, take the period doubling route to chaos and one gets there by intermittency. Besides being of interest to mathematicians as an ecological study of a differentiable system, it is hoped that, though idealized, the fact that it corresponds closely to a real type of reactor will make it attractive to control engineers and others as a testing ground for their various methods and devices. This book will be of particular interest to students and researchers in mathematics and engineering , particularly those working in bifurcation or chaos theory.

Surveying a Dynamical System

Author : Khalid Alhumaizi
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (128 download)

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Book Synopsis Surveying a Dynamical System by : Khalid Alhumaizi

Download or read book Surveying a Dynamical System written by Khalid Alhumaizi and published by . This book was released on 1995 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Survey on Controllability and Observability of Linear Dynamical System

Author : Peter Tsou
Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.:/5 (216 download)

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Book Synopsis Survey on Controllability and Observability of Linear Dynamical System by : Peter Tsou

Download or read book Survey on Controllability and Observability of Linear Dynamical System written by Peter Tsou and published by . This book was released on 1966 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Dynamical Systems

Author : B. Hasselblatt
Publisher : North Holland
ISBN 13 : 9780444826695
Total Pages : 1232 pages
Book Rating : 4.8/5 (266 download)

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Book Synopsis Handbook of Dynamical Systems by : B. Hasselblatt

Download or read book Handbook of Dynamical Systems written by B. Hasselblatt and published by North Holland. This book was released on 2002-09-03 with total page 1232 pages. Available in PDF, EPUB and Kindle. Book 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

Author : B. Hasselblatt
Publisher : Elsevier
ISBN 13 : 0080533442
Total Pages : 1231 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Dynamical Systems by : B. Hasselblatt

Download or read book Handbook of Dynamical Systems written by B. Hasselblatt and published by Elsevier. This book was released on 2002-08-20 with total page 1231 pages. Available in PDF, EPUB and Kindle. Book 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

Author : B. Fiedler
Publisher : Gulf Professional Publishing
ISBN 13 : 0080532845
Total Pages : 1099 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Dynamical Systems by : B. Fiedler

Download or read book Handbook of Dynamical Systems written by B. Fiedler and published by Gulf Professional Publishing. This book was released on 2002-02-21 with total page 1099 pages. Available in PDF, EPUB and Kindle. Book 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 namejust a few, are ubiquitous dynamical concepts throughout the articles.

Geometric Theory of Dynamical Systems

Author : J. Jr. Palis
Publisher : Springer Science & Business Media
ISBN 13 : 1461257034
Total Pages : 208 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Geometric Theory of Dynamical Systems by : J. Jr. Palis

Download or read book Geometric Theory of Dynamical Systems written by J. Jr. Palis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... cette etude qualitative (des equations difj'erentielles) aura par elle-m me un inter t du premier ordre ... HENRI POINCARE, 1881. We present in this book a view of the Geometric Theory of Dynamical Systems, which is introductory and yet gives the reader an understanding of some of the basic ideas involved in two important topics: structural stability and genericity. This theory has been considered by many mathematicians starting with Poincare, Liapunov and Birkhoff. In recent years some of its general aims were established and it experienced considerable development. More than two decades passed between two important events: the work of Andronov and Pontryagin (1937) introducing the basic concept of structural stability and the articles of Peixoto (1958-1962) proving the density of stable vector fields on surfaces. It was then that Smale enriched the theory substantially by defining as a main objective the search for generic and stable properties and by obtaining results and proposing problems of great relevance in this context. In this same period Hartman and Grobman showed that local stability is a generic property. Soon after this Kupka and Smale successfully attacked the problem for periodic orbits. We intend to give the reader the flavour of this theory by means of many examples and by the systematic proof of the Hartman-Grobman and the Stable Manifold Theorems (Chapter 2), the Kupka-Smale Theorem (Chapter 3) and Peixoto's Theorem (Chapter 4). Several ofthe proofs we give vii Introduction Vlll are simpler than the original ones and are open to important generalizations.

A Survey of Complex Dynamical Systems

Author : Paul Allen Hay
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis A Survey of Complex Dynamical Systems by : Paul Allen Hay

Download or read book A Survey of Complex Dynamical Systems written by Paul Allen Hay and published by . This book was released on 2017 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Dynamical Systems

Author : A. Katok
Publisher : Elsevier
ISBN 13 : 0080478220
Total Pages : 1235 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Handbook of Dynamical Systems by : A. Katok

Download or read book Handbook of Dynamical Systems written by A. Katok and published by Elsevier. This book was released on 2005-12-17 with total page 1235 pages. Available in PDF, EPUB and Kindle. Book 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.

Dynamical Systems

Author : Jürgen Jost
Publisher : Springer Science & Business Media
ISBN 13 : 3540288899
Total Pages : 199 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Dynamical Systems by : Jürgen Jost

Download or read book Dynamical Systems written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 2005-11-24 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Breadth of scope is unique Author is a widely-known and successful textbook author Unlike many recent textbooks on chaotic systems that have superficial treatment, this book provides explanations of the deep underlying mathematical ideas No technical proofs, but an introduction to the whole field that is based on the specific analysis of carefully selected examples Includes a section on cellular automata

Surveys in Differential-Algebraic Equations I

Author : Achim Ilchmann
Publisher : Springer Science & Business Media
ISBN 13 : 3642349285
Total Pages : 237 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Surveys in Differential-Algebraic Equations I by : Achim Ilchmann

Download or read book Surveys in Differential-Algebraic Equations I written by Achim Ilchmann and published by Springer Science & Business Media. This book was released on 2013-03-19 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need for a rigorous mathematical theory for Differential-Algebraic Equations (DAEs) has its roots in the widespread applications of controlled dynamical systems, especially in mechanical and electrical engineering. Due to the strong relation to (ordinary) differential equations, the literature for DAEs mainly started out from introductory textbooks. As such, the present monograph is new in the sense that it comprises survey articles on various fields of DAEs, providing reviews, presentations of the current state of research and new concepts in - Controllability for linear DAEs - Port-Hamiltonian differential-algebraic systems - Robustness of DAEs - Solution concepts for DAEs - DAEs in circuit modeling. The results in the individual chapters are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.

Dynamical Systems

Author : José A. Tenreiro Machado
Publisher : MDPI
ISBN 13 : 3906980472
Total Pages : 552 pages
Book Rating : 4.9/5 (69 download)

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Book Synopsis Dynamical Systems by : José A. Tenreiro Machado

Download or read book Dynamical Systems written by José A. Tenreiro Machado and published by MDPI. This book was released on 2018-10-09 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Printed Edition of the Special Issue Published in Entropy

Mathematics of Complexity and Dynamical Systems

Author : Robert A. Meyers
Publisher : Springer Science & Business Media
ISBN 13 : 1461418054
Total Pages : 1885 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mathematics of Complexity and Dynamical Systems by : Robert A. Meyers

Download or read book Mathematics of Complexity and Dynamical Systems written by Robert A. Meyers and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 1885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

Dynamical Systems

Author : Jürgen Jost
Publisher : Springer Science & Business Media
ISBN 13 : 9783540229087
Total Pages : 218 pages
Book Rating : 4.2/5 (29 download)

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Book Synopsis Dynamical Systems by : Jürgen Jost

Download or read book Dynamical Systems written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 2005-08-01 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Breadth of scope is unique Author is a widely-known and successful textbook author Unlike many recent textbooks on chaotic systems that have superficial treatment, this book provides explanations of the deep underlying mathematical ideas No technical proofs, but an introduction to the whole field that is based on the specific analysis of carefully selected examples Includes a section on cellular automata

Dynamic and Precise Engineering Surveying

Author : Qingquan Li
Publisher : Springer Nature
ISBN 13 : 981995942X
Total Pages : 518 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Dynamic and Precise Engineering Surveying by : Qingquan Li

Download or read book Dynamic and Precise Engineering Surveying written by Qingquan Li and published by Springer Nature. This book was released on 2023-10-16 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Driven by the increasingly expanding needs of infrastructure construction, operation and maintenance, as well as the rapid developments of intelligent sensing and information technology, precise engineering surveying has been transformed from static, discrete, and manual into dynamic, continuous, and intelligent ways. This transformation leads to an advanced multidisciplinary field, dynamic and precise engineering surveying, on which the author has worked for over two decades. This book systematically summarizes the fundamentals, methods, and applications in dynamic and precise engineering surveying. The contents mainly include two parts: the first part introduces principles and methods of dynamic and precise engineering surveying; the second part presents representative applications in which innovative methods and advanced equipment are applied in the construction, operation and maintenance of mega and complex infrastructures. Readers engaged in surveying and mapping, civil engineering, water conservancy engineering, railway engineering, electronic information, and computer science, including undergraduates, graduates, researchers and engineers, will find it an informative reference.

A Survey of Monotone Dynamical Systems

Author : Lara Shannon Minock
Publisher :
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.:/5 (34 download)

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Book Synopsis A Survey of Monotone Dynamical Systems by : Lara Shannon Minock

Download or read book A Survey of Monotone Dynamical Systems written by Lara Shannon Minock and published by . This book was released on 2000 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Dynamical Systems

Author : B. Hasselblatt
Publisher : Elsevier
ISBN 13 :
Total Pages : 1244 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Handbook of Dynamical Systems by : B. Hasselblatt

Download or read book Handbook of Dynamical Systems written by B. Hasselblatt and published by Elsevier. This book was released on 2002 with total page 1244 pages. Available in PDF, EPUB and Kindle. Book 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.