Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Semiflows On Topological Spaces full books in PDF, epub, and Kindle. Read online Semiflows On Topological Spaces ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Mauro Patrão
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.3/5 (91 download)
Download or read book Semiflows on Topological Spaces written by Mauro Patrão and published by . This book was released on 2005 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mauro Patrão
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.3/5 (91 download)
Download or read book Morse Decomposition of Semiflows on Topological Spaces written by Mauro Patrão and published by . This book was released on 2005 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matheus C. Bortolan
Publisher : American Mathematical Soc.
ISBN 13 : 1470453088
Total Pages : 259 pages
Book Rating : 4.4/5 (74 download)
Download or read book Attractors Under Autonomous and Non-autonomous Perturbations written by Matheus C. Bortolan and published by American Mathematical Soc.. This book was released on 2020-05-29 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive study of how attractors behave under perturbations for both autonomous and non-autonomous problems. Furthermore, the forward asymptotics of non-autonomous dynamical systems is presented here for the first time in a unified manner. When modelling real world phenomena imprecisions are unavoidable. On the other hand, it is paramount that mathematical models reflect the modelled phenomenon, in spite of unimportant neglectable influences discounted by simplifications, small errors introduced by empirical laws or measurements, among others. The authors deal with this issue by investigating the permanence of dynamical structures and continuity properties of the attractor. This is done in both the autonomous (time independent) and non-autonomous (time dependent) framework in four distinct levels of approximation: the upper semicontinuity, lower semicontinuity, topological structural stability and geometrical structural stability. This book is aimed at graduate students and researchers interested in dissipative dynamical systems and stability theory, and requires only a basic background in metric spaces, functional analysis and, for the applications, techniques of ordinary and partial differential equations.
Author : Boju Jiang
Publisher : Springer
ISBN 13 : 3540468625
Total Pages : 209 pages
Book Rating : 4.5/5 (44 download)
Download or read book Topological Fixed Point Theory and Applications written by Boju Jiang and published by Springer. This book was released on 2006-11-14 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of papers from the Beijing conference gives a cross-section of the current trends in the field of fixed point theory as seen by topologists and analysts. Apart from one survey article, they are all original research articles, on topics including equivariant theory, extensions of Nielsen theory, periodic orbits of discrete and continuous dynamical systems, and new invariants and techniques in topological approaches to analytic problems.
Author : Alexandre Carvalho
Publisher : Springer Science & Business Media
ISBN 13 : 1461445809
Total Pages : 434 pages
Book Rating : 4.4/5 (614 download)
Download or read book Attractors for infinite-dimensional non-autonomous dynamical systems written by Alexandre Carvalho and published by Springer Science & Business Media. This book was released on 2012-09-26 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence. The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.
Author : Carlile Lavor
Publisher : Springer
ISBN 13 : 3319940155
Total Pages : 408 pages
Book Rating : 4.3/5 (199 download)
Download or read book Advances in Mathematics and Applications written by Carlile Lavor and published by Springer. This book was released on 2018-09-07 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates the 50th anniversary of the Institute of Mathematics, Statistics and Scientific Computing (IMECC) of the University of Campinas, Brazil, by offering reviews of selected research developed at one of the most prestigious mathematics institutes in Latin America. Written by senior professors at the IMECC, it covers topics in pure and applied mathematics and statistics ranging from differential geometry, dynamical systems, Lie groups, and partial differential equations to computational optimization, mathematical physics, stochastic process, time series, and more. A report on the challenges and opportunities of research in applied mathematics - a highly active field of research in the country - and highlights of the Institute since its foundation in 1968 completes this historical volume, which is unveiled in the same year that the International Mathematical Union (IMU) names Brazil as a member of the Group V of countries with the most relevant contributions in mathematics.
Author : Albert J. Milani
Publisher : CRC Press
ISBN 13 : 1420035118
Total Pages : 403 pages
Book Rating : 4.4/5 (2 download)
Download or read book An Introduction to Semiflows written by Albert J. Milani and published by CRC Press. This book was released on 2004-10-14 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The auth
Author : Fritz Colonius
Publisher : American Mathematical Society
ISBN 13 : 0821883194
Total Pages : 302 pages
Book Rating : 4.8/5 (218 download)
Download or read book Dynamical Systems and Linear Algebra written by Fritz Colonius and published by American Mathematical Society. This book was released on 2014-10-03 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the interplay between linear algebra and dynamical systems in continuous time and in discrete time. It first reviews the autonomous case for one matrix A via induced dynamical systems in ℝd and on Grassmannian manifolds. Then the main nonautonomous approaches are presented for which the time dependency of A(t) is given via skew-product flows using periodicity, or topological (chain recurrence) or ergodic properties (invariant measures). The authors develop generalizations of (real parts of) eigenvalues and eigenspaces as a starting point for a linear algebra for classes of time-varying linear systems, namely periodic, random, and perturbed (or controlled) systems. The book presents for the first time in one volume a unified approach via Lyapunov exponents to detailed proofs of Floquet theory, of the properties of the Morse spectrum, and of the multiplicative ergodic theorem for products of random matrices. The main tools, chain recurrence and Morse decompositions, as well as classical ergodic theory are introduced in a way that makes the entire material accessible for beginning graduate students.
Author : Krzysztof P. Rybakowski
Publisher : Springer Science & Business Media
ISBN 13 : 3642728332
Total Pages : 217 pages
Book Rating : 4.6/5 (427 download)
Download or read book The Homotopy Index and Partial Differential Equations written by Krzysztof P. Rybakowski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: The homotopy index theory was developed by Charles Conley for two sided flows on compact spaces. The homotopy or Conley index, which provides an algebraic-topologi cal measure of an isolated invariant set, is defined to be the ho motopy type of the quotient space N /N , where is a certain 1 2 1 2 compact pair, called an index pair. Roughly speaking, N1 isolates the invariant set and N2 is the "exit ramp" of N . 1 It is shown that the index is independent of the choice of the in dex pair and is invariant under homotopic perturbations of the flow. Moreover, the homotopy index generalizes the Morse index of a nQnde generate critical point p with respect to a gradient flow on a com pact manifold. In fact if the Morse index of p is k, then the homo topy index of the invariant set {p} is Ik - the homotopy type of the pointed k-dimensional unit sphere.
Author : Josiney Souza
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527545849
Total Pages : 348 pages
Book Rating : 4.5/5 (275 download)
Download or read book The Dynamic Morse Theory of Control Systems written by Josiney Souza and published by Cambridge Scholars Publishing. This book was released on 2020-01-20 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides insights into the dynamics of control systems with the integration of conceptions such as stability, controllability, attraction, and chain transitivity. It highlights the importance of Morse theory with its feature of describing the global dynamics of systems, presented here for the first time in control theory. The mathematical formulations are comprehensive, designed especially for students, researches, and professionals interested in qualitative studies of control systems. The reader will find the book an accessible source of basic definitions, properties, methods, examples, theorems, references, lists of problems, and open questions. Parts of the book may be used for courses or seminars in mathematics or control-theoretic engineering, and its reference guide will serve as a great resource for research projects and academic dissertations on control theory or dynamical systems.
Author : Radu Zaharopol
Publisher : Springer
ISBN 13 : 3319057235
Total Pages : 405 pages
Book Rating : 4.3/5 (19 download)
Download or read book Invariant Probabilities of Transition Functions written by Radu Zaharopol and published by Springer. This book was released on 2014-06-27 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other areas (like number theory). They are illustrated using transition functions defined by flows, semiflows, and one-parameter convolution semigroups of probability measures. In this book, all results on transition probabilities that have been published by the author between 2004 and 2008 are extended to transition functions. The proofs of the results obtained are new. For transition functions that satisfy very general conditions the book describes an ergodic decomposition that provides relevant information on the structure of the corresponding set of invariant probabilities. Ergodic decomposition means a splitting of the state space, where the invariant ergodic probability measures play a significant role. Other topics covered include: characterizations of the supports of various types of invariant probability measures and the use of these to obtain criteria for unique ergodicity, and the proofs of two mean ergodic theorems for a certain type of transition functions. The book will be of interest to mathematicians working in ergodic theory, dynamical systems, or the theory of Markov processes. Biologists, physicists and economists interested in interacting particle systems and rigorous mathematics will also find this book a valuable resource. Parts of it are suitable for advanced graduate courses. Prerequisites are basic notions and results on functional analysis, general topology, measure theory, the Bochner integral and some of its applications.
Author :
Publisher :
ISBN 13 :
Total Pages : 494 pages
Book Rating : 4.3/5 (91 download)
Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2007 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Keith R. Wicks
Publisher : Springer
ISBN 13 : 354046610X
Total Pages : 175 pages
Book Rating : 4.5/5 (44 download)
Download or read book Fractals and Hyperspaces written by Keith R. Wicks and published by Springer. This book was released on 2006-11-14 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this book presents its subject in an original and accessible way complete with many figures. The first part of the book develops certain hyperspace theory concerning the Hausdorff metric and the Vietoris topology, as a foundation for what follows on self-similarity and fractality. A major feature is that nonstandard analysis is used to obtain new proofs of some known results much more slickly than before. The theory of J.E. Hutchinson's invariant sets (sets composed of smaller images of themselves) is developed, with a study of when such a set is tiled by its images and a classification of many invariant sets as either regular or residual. The last and most original part of the book introduces the notion of a "view" as part of a framework for studying the structure of sets within a given space. This leads to new, elegant concepts (defined purely topologically) of self-similarity and fractality: in particular, the author shows that many invariant sets are "visually fractal", i.e. have infinite detail in a certain sense. These ideas have considerable scope for further development, and a list of problems and lines of research is included.
Author : George R. Sell
Publisher :
ISBN 13 :
Total Pages : 218 pages
Book Rating : 4.3/5 (91 download)
Download or read book Topological Dynamics and Ordinary Differential Equations written by George R. Sell and published by . This book was released on 1971 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christoph Kawan
Publisher : Springer
ISBN 13 : 3319012886
Total Pages : 290 pages
Book Rating : 4.3/5 (19 download)
Download or read book Invariance Entropy for Deterministic Control Systems written by Christoph Kawan and published by Springer. This book was released on 2013-10-02 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an introduction to the concept of invariance entropy, the central motivation of which lies in the need to deal with communication constraints in networked control systems. For the simplest possible network topology, consisting of one controller and one dynamical system connected by a digital channel, invariance entropy provides a measure for the smallest data rate above which it is possible to render a given subset of the state space invariant by means of a symbolic coder-controller pair. This concept is essentially equivalent to the notion of topological feedback entropy introduced by Nair, Evans, Mareels and Moran (Topological feedback entropy and nonlinear stabilization. IEEE Trans. Automat. Control 49 (2004), 1585–1597). The book presents the foundations of a theory which aims at finding expressions for invariance entropy in terms of dynamical quantities such as Lyapunov exponents. While both discrete-time and continuous-time systems are treated, the emphasis lies on systems given by differential equations.
Author : V. Lakshmikantham
Publisher : CRC Press
ISBN 13 : 1000111091
Total Pages : 589 pages
Book Rating : 4.0/5 (1 download)
Download or read book Trends in Theory and Practice of Nonlinear Differential Equations written by V. Lakshmikantham and published by CRC Press. This book was released on 2020-12-17 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on an International Conference on Trends in Theory and Practice of Nonlinear Differential Equations held at The University of Texas at Arlington. It aims to feature recent trends in theory and practice of nonlinear differential equations.
Author : Thomas Bartsch
Publisher : Springer
ISBN 13 : 3540480994
Total Pages : 162 pages
Book Rating : 4.5/5 (44 download)
Download or read book Topological Methods for Variational Problems with Symmetries written by Thomas Bartsch and published by Springer. This book was released on 2006-11-15 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry has a strong impact on the number and shape of solutions to variational problems. This has been observed, for instance, in the search for periodic solutions of Hamiltonian systems or of the nonlinear wave equation; when one is interested in elliptic equations on symmetric domains or in the corresponding semiflows; and when one is looking for "special" solutions of these problems. This book is concerned with Lusternik-Schnirelmann theory and Morse-Conley theory for group invariant functionals. These topological methods are developed in detail with new calculations of the equivariant Lusternik-Schnirelmann category and versions of the Borsuk-Ulam theorem for very general classes of symmetry groups. The Morse-Conley theory is applied to bifurcation problems, in particular to the bifurcation of steady states and hetero-clinic orbits of O(3)-symmetric flows; and to the existence of periodic solutions nearequilibria of symmetric Hamiltonian systems. Some familiarity with the usualminimax theory and basic algebraic topology is assumed.
