Share

Elements of Topological Dynamics

2013-04-17 Mathematics
Download Elements of Topological Dynamics PDF Online Free

Author :
Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 711/5 ( reviews)

GET EBOOK


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

Download or read book Elements of Topological Dynamics written by J. de Vries. This book was released on 2013-04-17. 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.

Elements of Differentiable Dynamics and Bifurcation Theory

2014-05-10 Mathematics
Download Elements of Differentiable Dynamics and Bifurcation Theory PDF Online Free

Author :
Release : 2014-05-10
Genre : Mathematics
Kind : eBook
Book Rating : 184/5 ( reviews)

GET EBOOK


Book Synopsis Elements of Differentiable Dynamics and Bifurcation Theory by : David Ruelle

Download or read book Elements of Differentiable Dynamics and Bifurcation Theory written by David Ruelle. This book was released on 2014-05-10. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature. This book discusses the differentiable dynamics, vector fields, fixed points and periodic orbits, and stable and unstable manifolds. The bifurcations of fixed points of a map and periodic orbits, case of semiflows, and saddle-node and Hopf bifurcation are also elaborated. This text likewise covers the persistence of normally hyperbolic manifolds, hyperbolic sets, homoclinic and heteroclinic intersections, and global bifurcations. This publication is suitable for mathematicians and mathematically inclined students of the natural sciences.

Topological Theory of Dynamical Systems

1994-06-03 Mathematics
Download Topological Theory of Dynamical Systems PDF Online Free

Author :
Release : 1994-06-03
Genre : Mathematics
Kind : eBook
Book Rating : 21X/5 ( reviews)

GET EBOOK


Book Synopsis Topological Theory of Dynamical Systems by : N. Aoki

Download or read book Topological Theory of Dynamical Systems written by N. Aoki. This book was released on 1994-06-03. Available in PDF, EPUB and Kindle. Book excerpt: This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians. Although some of the topics discussed are relatively new, others are not: this book is not a collection of research papers, but a textbook to present recent developments of the theory that could be the foundations for future developments. This book contains a new theory developed by the authors to deal with problems occurring in diffentiable dynamics that are within the scope of general topology. To follow it, the book provides an adequate foundation for topological theory of dynamical systems, and contains tools which are sufficiently powerful throughout the book. Graduate students (and some undergraduates) with sufficient knowledge of basic general topology, basic topological dynamics, and basic algebraic topology will find little difficulty in reading this book.

Elements of Analytical Dynamics

2014-07-10 Mathematics
Download Elements of Analytical Dynamics PDF Online Free

Author :
Release : 2014-07-10
Genre : Mathematics
Kind : eBook
Book Rating : 727/5 ( reviews)

GET EBOOK


Book Synopsis Elements of Analytical Dynamics by : Rudolph Kurth

Download or read book Elements of Analytical Dynamics written by Rudolph Kurth. This book was released on 2014-07-10. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Analytical Dynamics deals with dynamics, which studies the relationship between motion of material bodies and the forces acting on them. This book is a compilation of lectures given by the author at the Georgia and Institute of Technology and formed a part of a course in Topological Dynamics. The book begins by discussing the notions of space and time and their basic properties. It then discusses the Hamilton-Jacobi theory and Hamilton's principle and first integrals. The text concludes with a discussion on Jacobi's geometric interpretation of conservative systems. This book will be of direct use to graduate students of Mathematics with minimal background in Theoretical Mechanics.

Groups and Topological Dynamics

2022-10-07 Mathematics
Download Groups and Topological Dynamics PDF Online Free

Author :
Release : 2022-10-07
Genre : Mathematics
Kind : eBook
Book Rating : 806/5 ( reviews)

GET EBOOK


Book Synopsis Groups and Topological Dynamics by : Volodymyr Nekrashevych

Download or read book Groups and Topological Dynamics written by Volodymyr Nekrashevych. This book was released on 2022-10-07. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to group-theoretic aspects of topological dynamics such as studying groups using their actions on topological spaces, using group theory to study symbolic dynamics, and other connections between group theory and dynamical systems. One of the main applications of this approach to group theory is the study of asymptotic properties of groups such as growth and amenability. The book presents recently developed techniques of studying groups of dynamical origin using the structure of their orbits and associated groupoids of germs, applications of the iterated monodromy groups to hyperbolic dynamical systems, topological full groups and their properties, amenable groups, groups of intermediate growth, and other topics. The book is suitable for graduate students and researchers interested in group theory, transformations defined by automata, topological and holomorphic dynamics, and theory of topological groupoids. Each chapter is supplemented by exercises of various levels of complexity.

You may also like...