Elements of Topological Dynamics

Download Elements of Topological Dynamics PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401581711
Total Pages : 762 pages
Book Rating : 4.4/5 (15 download)

DOWNLOAD NOW!


Book Synopsis Elements of Topological Dynamics by : J. de Vries

Download or read book Elements of Topological Dynamics written by J. de Vries and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equa is in the tradition of the books [GH] and [EW. The title tions. So this book (,Elements . . . ' rather than 'Introduction . . . ') does not mean that this book should be compared, either in scope or in (intended) impact, with the 'Ele ments' of Euclid or Bourbaki. Instead, it reflects the choice and organisation of the material in this book: elementary and basic (but sufficient to understand recent research papers in this field). There are still many challenging prob lems waiting for a solution, and especially among general topologists there is a growing interest in this direction. However, the technical inaccessability of many research papers makes it almost impossible for an outsider to under stand what is going on. To a large extent, this inaccessability is caused by the lack of a good and systematic exposition of the fundamental methods and techniques of abstract TO. This book is an attempt to fill this gap. The guiding principle for the organization of the material in this book has been the exposition of methods and techniques rather than a discussion of the leading problems and their solutions. though the latter are certainly not neglected: they are used as a motivation wherever possible.

Topological Dynamics and Applications

Download Topological Dynamics and Applications PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821855515
Total Pages : 334 pages
Book Rating : 4.8/5 (555 download)

DOWNLOAD NOW!


Book Synopsis Topological Dynamics and Applications by :

Download or read book Topological Dynamics and Applications written by and published by American Mathematical Soc.. This book was released on 1998 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Dynamics of Random Dynamical Systems

Download Topological Dynamics of Random Dynamical Systems PDF Online Free

Author :
Publisher : Oxford University Press
ISBN 13 : 9780198501572
Total Pages : 216 pages
Book Rating : 4.5/5 (15 download)

DOWNLOAD NOW!


Book Synopsis Topological Dynamics of Random Dynamical Systems by : Nguyen Dinh Cong

Download or read book Topological Dynamics of Random Dynamical Systems written by Nguyen Dinh Cong and published by Oxford University Press. This book was released on 1997 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first systematic treatment of the theory of topological dynamics of random dynamical systems. A relatively new field, the theory of random dynamical systems unites and develops the classical deterministic theory of dynamical systems and probability theory, finding numerous applications in disciplines ranging from physics and biology to engineering, finance and economics. This book presents in detail the solutions to the most fundamental problems of topological dynamics: linearization of nonlinear smooth systems, classification, and structural stability of linear hyperbolic systems. Employing the tools and methods of algebraic ergodic theory, the theory presented in the book has surprisingly beautiful results showing the richness of random dynamical systems as well as giving a gentle generalization of the classical deterministic theory.

Topological Dynamics and Applications

Download Topological Dynamics and Applications PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821806084
Total Pages : 348 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Topological Dynamics and Applications by : Robert Ellis

Download or read book Topological Dynamics and Applications written by Robert Ellis and published by American Mathematical Soc.. This book was released on 1998 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a very readable exposition of the modern theory of topological dynamics and presents diverse applications to such areas as ergodic theory, combinatorial number theory and differential equations. There are three parts: 1) The abstract theory of topological dynamics is discussed, including a comprehensive survey by Furstenberg and Glasner on the work and influence of R. Ellis. Presented in book form for the first time are new topics in the theory of dynamical systems, such as weak almost-periodicity, hidden eigenvalues, a natural family of factors and topological analogues of ergodic decomposition. 2) The power of abstract techniques is demonstrated by giving a very wide range of applications to areas of ergodic theory, combinatorial number theory, random walks on groups and others. 3) Applications to non-autonomous linear differential equations are shown. Exposition on recent results about Floquet theory, bifurcation theory and Lyapanov exponents is given.

Networks, Topology and Dynamics

Download Networks, Topology and Dynamics PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540684093
Total Pages : 292 pages
Book Rating : 4.5/5 (46 download)

DOWNLOAD NOW!


Book Synopsis Networks, Topology and Dynamics by : Ahmad K. Naimzada

Download or read book Networks, Topology and Dynamics written by Ahmad K. Naimzada and published by Springer Science & Business Media. This book was released on 2008-11-14 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is convergent consensus among scientists that many social, economic and ?nancial phenomena can be described by a network of agents and their inter- tions. Surprisingly, even though the application ?elds are quite different, those n- works often show a common behaviour. Thus, their topological properties can give useful insights on how the network is structured, which are the most “important” nodes/agents, how the network reacts to new arrivals. Moreover the network, once included into a dynamic context, helps to model many phenomena. Among the t- ics in which topology and dynamics are the essential tools, we will focus on the diffusion of technologies and fads, the rise of industrial districts, the evolution of ?nancial markets, cooperation and competition, information ?ows, centrality and prestige. The volume, including recent contributions to the ?eld of network modelling, is based on the communications presented at NET 2006 (Verbania, Italy) and NET 2007 (Urbino, Italy); offers a wide range of recent advances, both theoretical and methodological, that will interest academics as well as practitioners. Theory and applications are nicely integrated: theoretical papers deal with graph theory, game theory, coalitions, dynamics, consumer behavior, segregation models and new contributions to the above mentioned area. The applications cover a wide range: airline transportation, ?nancial markets, work team organization, labour and credit market.

Dynamical Systems and Evolution Equations

Download Dynamical Systems and Evolution Equations PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1468410369
Total Pages : 244 pages
Book Rating : 4.4/5 (684 download)

DOWNLOAD NOW!


Book Synopsis Dynamical Systems and Evolution Equations by : John A. Walker

Download or read book Dynamical Systems and Evolution Equations written by John A. Walker and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a nine-month course first given during 1976-77 in the Division of Engineering Mechanics, University of Texas (Austin), and repeated during 1977-78 in the Department of Engineering Sciences and Applied Mathematics, Northwestern University. Most of the students were in their second year of graduate study, and all were familiar with Fourier series, Lebesgue integration, Hilbert space, and ordinary differential equa tions in finite-dimensional space. This book is primarily an exposition of certain methods of topological dynamics that have been found to be very useful in the analysis of physical systems but appear to be well known only to specialists. The purpose of the book is twofold: to present the material in such a way that the applications-oriented reader will be encouraged to apply these methods in the study of those physical systems of personal interest, and to make the coverage sufficient to render the current research literature intelligible, preparing the more mathematically inclined reader for research in this particular area of applied mathematics. We present only that portion of the theory which seems most useful in applications to physical systems. Adopting the view that the world is deterministic, we consider our basic problem to be predicting the future for a given physical system. This prediction is to be based on a known equation of evolution, describing the forward-time behavior of the system, but it is to be made without explicitly solving the equation.

Topological Dynamics

Download Topological Dynamics PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821874691
Total Pages : 184 pages
Book Rating : 4.8/5 (746 download)

DOWNLOAD NOW!


Book Synopsis Topological Dynamics by : Walter Helbig Gottschalk

Download or read book Topological Dynamics written by Walter Helbig Gottschalk and published by American Mathematical Soc.. This book was released on 1955-01-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological dynamics is the study of transformation groups with respect to those topological properties whose prototype occurred in classical dynamics. In this volume, Part One contains the general theory. Part Two contains notable examples of flows which have contributed to the general theory of topological dynamics and which have in turn have been illuminated by the general theory of topological dynamics.

Lectures on Topological Dynamics

Download Lectures on Topological Dynamics PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.:/5 (44 download)

DOWNLOAD NOW!


Book Synopsis Lectures on Topological Dynamics by : Robert Ellis

Download or read book Lectures on Topological Dynamics written by Robert Ellis and published by . This book was released on 1969 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Dynamical Systems

Download Topological Dynamical Systems PDF Online Free

Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110342405
Total Pages : 516 pages
Book Rating : 4.1/5 (13 download)

DOWNLOAD NOW!


Book Synopsis Topological Dynamical Systems by : Jan Vries

Download or read book Topological Dynamical Systems written by Jan Vries and published by Walter de Gruyter. This book was released on 2014-01-31 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.

The General Topology of Dynamical Systems

Download The General Topology of Dynamical Systems PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821849328
Total Pages : 273 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis The General Topology of Dynamical Systems by : Ethan Akin

Download or read book The General Topology of Dynamical Systems written by Ethan Akin and published by American Mathematical Soc.. This book was released on 1993 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent work in dynamical systems theory has both highlighted certain topics in the pre-existing subject of topological dynamics (such as the construction of Lyapunov functions and various notions of stability) and also generated new concepts and results. This book collects these results, both old and new, and organises them into a natural foundation for all aspects of dynamical systems theory.

Topological Dynamics and Topological Data Analysis

Download Topological Dynamics and Topological Data Analysis PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 9811601747
Total Pages : 278 pages
Book Rating : 4.8/5 (116 download)

DOWNLOAD NOW!


Book Synopsis Topological Dynamics and Topological Data Analysis by : Robert L. Devaney

Download or read book Topological Dynamics and Topological Data Analysis written by Robert L. Devaney and published by Springer Nature. This book was released on 2021-09-23 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held in Kochi, India, from 9–11 December 2018. The book discusses topics on topological dynamical systems and topological data analysis. Topics are ranging from general topology, algebraic topology, differential topology, fuzzy topology, topological dynamical systems, topological groups, linear dynamics, dynamics of operator network topology, iterated function systems and applications of topology. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. The book is a valuable resource for researchers, scientists and engineers from both academia and industry.

Topology with Applications

Download Topology with Applications PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9814407666
Total Pages : 294 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!


Book Synopsis Topology with Applications by : Somashekhar A. Naimpally

Download or read book Topology with Applications written by Somashekhar A. Naimpally and published by World Scientific. This book was released on 2013 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces.This book provides a complete framework for the study of topology with a variety of applications in science and engineering that include camouflage filters, classification, digital image processing, forgery detection, Hausdorff raster spaces, image analysis, microscopy, paleontology, pattern recognition, population dynamics, stem cell biology, topological psychology, and visual merchandising.It is the first complete presentation on topology with applications considered in the context of proximity spaces, and the nearness and remoteness of sets of objects. A novel feature throughout this book is the use of near and far, discovered by F Riesz over 100 years ago. In addition, it is the first time that this form of topology is presented in the context of a number of new applications.

Generalized Ordinary Differential Equations in Abstract Spaces and Applications

Download Generalized Ordinary Differential Equations in Abstract Spaces and Applications PDF Online Free

Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119654939
Total Pages : 514 pages
Book Rating : 4.1/5 (196 download)

DOWNLOAD NOW!


Book Synopsis Generalized Ordinary Differential Equations in Abstract Spaces and Applications by : Everaldo M. Bonotto

Download or read book Generalized Ordinary Differential Equations in Abstract Spaces and Applications written by Everaldo M. Bonotto and published by John Wiley & Sons. This book was released on 2021-09-15 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES AND APPLICATIONS Explore a unified view of differential equations through the use of the generalized ODE from leading academics in mathematics Generalized Ordinary Differential Equations in Abstract Spaces and Applications delivers a comprehensive treatment of new results of the theory of Generalized ODEs in abstract spaces. The book covers applications to other types of differential equations, including Measure Functional Differential Equations (measure FDEs). It presents a uniform collection of qualitative results of Generalized ODEs and offers readers an introduction to several theories, including ordinary differential equations, impulsive differential equations, functional differential equations, dynamical equations on time scales, and more. Throughout the book, the focus is on qualitative theory and on corresponding results for other types of differential equations, as well as the connection between Generalized Ordinary Differential Equations and impulsive differential equations, functional differential equations, measure differential equations and dynamic equations on time scales. The book’s descriptions will be of use in many mathematical contexts, as well as in the social and natural sciences. Readers will also benefit from the inclusion of: A thorough introduction to regulated functions, including their basic properties, equiregulated sets, uniform convergence, and relatively compact sets An exploration of the Kurzweil integral, including its definitions and basic properties A discussion of measure functional differential equations, including impulsive measure FDEs The interrelationship between generalized ODEs and measure FDEs A treatment of the basic properties of generalized ODEs, including the existence and uniqueness of solutions, and prolongation and maximal solutions Perfect for researchers and graduate students in Differential Equations and Dynamical Systems, Generalized Ordinary Differential Equations in Abstract Spaces and App­lications will also earn a place in the libraries of advanced undergraduate students taking courses in the subject and hoping to move onto graduate studies.

Dynamics of Topological Magnetic Solitons

Download Dynamics of Topological Magnetic Solitons PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3540478256
Total Pages : 189 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!


Book Synopsis Dynamics of Topological Magnetic Solitons by : Victor G. Bar'yakhtar

Download or read book Dynamics of Topological Magnetic Solitons written by Victor G. Bar'yakhtar and published by Springer. This book was released on 2006-04-11 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics of Topological Magnetic Solitons gives a theoretical and experimental review of the dynamics of high-speed domain walls and Bloch lines. After the introduction of magnetic solitons, experimental methods for the observation of the dynamics of domain walls are presented. Further chapters discuss main features of the stimulated motion of domain walls, their magnetoelastic interaction, stability and relaxation. Finally, the dynamics of domain walls in weak ferromagnets with more than one dimension is treated. The last chapter presents the dynamics of Bloch lines and their clusters. More than 230 references guide the reader to the literature. Physicists will gain new insights in interesting applications of soliton theory in condensed matter physics. Engineers will find new information on magnetooptical effects for further applications.

Introduction to Topological Dynamics

Download Introduction to Topological Dynamics PDF Online Free

Author :
Publisher : Springer
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Introduction to Topological Dynamics by : Konstantin Sergeevich Sibirskii

Download or read book Introduction to Topological Dynamics written by Konstantin Sergeevich Sibirskii and published by Springer. This book was released on 1975 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of differential equations originated at the end of the seventeenth century in the works of I. Newton, G. W. Leibniz and others. During the first century of its existence, this theory consisted only of isolated methods of solving certain types of differential equations; but the problem of the existence of a solution and its representability in quadratures was posed already in the second. As a result of numerous investigations it became clear that integrability in quadratures is an extremely rare phe nomenon and that the solution of many differential equations arising in applications cannot be expressed in quadratures. Also the methods of numerical integration of equations did not open the road to the general theory since these methods yield only one particular solution and this solution is obtained on a finite interval. Applications - especially the problems of celestial mechanics - required the clarification of at least the nature of the behavior of integral curves in the entire domain of their existence without integration of the equation. In this connection, at the end of the last century there arose the qualitative theory of differential equations, the creators of which one must by all rights consider to be H. Poincare and A. M. Lyapunov.

Introduction to the Modern Theory of Dynamical Systems

Download Introduction to the Modern Theory of Dynamical Systems PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521575577
Total Pages : 828 pages
Book Rating : 4.5/5 (755 download)

DOWNLOAD NOW!


Book Synopsis Introduction to the Modern Theory of Dynamical Systems by : Anatole Katok

Download or read book Introduction to the Modern Theory of Dynamical Systems written by Anatole Katok and published by Cambridge University Press. This book was released on 1995 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.

Teichmüller Theory and Applications to Geometry, Topology, and Dynamics

Download Teichmüller Theory and Applications to Geometry, Topology, and Dynamics PDF Online Free

Author :
Publisher :
ISBN 13 : 9781943863013
Total Pages : 576 pages
Book Rating : 4.8/5 (63 download)

DOWNLOAD NOW!


Book Synopsis Teichmüller Theory and Applications to Geometry, Topology, and Dynamics by : John Hamal Hubbard

Download or read book Teichmüller Theory and Applications to Geometry, Topology, and Dynamics written by John Hamal Hubbard and published by . This book was released on 2022-02 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: