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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 : Mauro Patrão
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)
Download or read book Morse Decomposition of Semiflows on Fiber Bundles written by Mauro Patrão and published by . This book was released on 2005 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : Carlile Lavor
Publisher : Springer
ISBN 13 : 3319940155
Total Pages : 407 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 407 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 : 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 : Matheus C. Bortolan
Publisher : American Mathematical Soc.
ISBN 13 : 1470453088
Total Pages : 246 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 246 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 : Kevin P Knudson
Publisher : World Scientific Publishing Company
ISBN 13 : 9814630985
Total Pages : 196 pages
Book Rating : 4.8/5 (146 download)
Download or read book Morse Theory written by Kevin P Knudson and published by World Scientific Publishing Company. This book was released on 2015-05-29 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory, highlighting the parallels between the two subjects. This is the first time both smooth and discrete Morse theory have been treated in a single volume. This makes the book a valuable resource for students and professionals working in topology and discrete mathematics. With a strong focus on examples, the text is suitable for advanced undergraduates or beginning graduate students.
Author : J. Casares
Publisher : WIT Press
ISBN 13 : 1784663956
Total Pages : 266 pages
Book Rating : 4.7/5 (846 download)
Download or read book Environmental Impact V written by J. Casares and published by WIT Press. This book was released on 2020-08-18 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formed of a collection of papers from the 5th International Conference on Environmental and Economic Impact on Sustainable Development, the included works examine the most serious problems affecting sustainable development. The papers consider the impact of economic constraints on the environment, taking into account the social aspects as well as the over-use of natural resources. Uncontrolled development can also result in damage to the environment in terms of the release of toxic substances and hazardous waste. Therefore, decisions have to be made as to whether some forms of development are compatible with environmental protection, particularly in cases of possible serious contamination and toxicity. More constructive and progressive approaches are required to ensure sustainability. A major motivation is to learn from past failure, to avoid repeating similar mistakes, while attempting to prevent emerging threats to environmental and ecological systems. Fundamental to these concepts is the analysis of the inherent risk and the development of appropriate strategies.
Author : Katz Gabriel
Publisher : World Scientific
ISBN 13 : 9814719684
Total Pages : 516 pages
Book Rating : 4.8/5 (147 download)
Download or read book Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary written by Katz Gabriel and published by World Scientific. This book was released on 2019-08-21 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is an account of the author's investigations of gradient vector flows on compact manifolds with boundary. Many mathematical structures and constructions in the book fit comfortably in the framework of Morse Theory and, more generally, of the Singularity Theory of smooth maps.The geometric and combinatorial structures, arising from the interactions of vector flows with the boundary of the manifold, are surprisingly rich. This geometric setting leads organically to many encounters with Singularity Theory, Combinatorics, Differential Topology, Differential Geometry, Dynamical Systems, and especially with the boundary value problems for ordinary differential equations. This diversity of connections animates the book and is the main motivation behind it.The book is divided into two parts. The first part describes the flows in three dimensions. It is more pictorial in nature. The second part deals with the multi-dimensional flows, and thus is more analytical. Each of the nine chapters starts with a description of its purpose and main results. This organization provides the reader with independent entrances into different chapters.
Author : Andrei V. Pajitnov
Publisher : Walter de Gruyter
ISBN 13 : 3110197979
Total Pages : 463 pages
Book Rating : 4.1/5 (11 download)
Download or read book Circle-valued Morse Theory written by Andrei V. Pajitnov and published by Walter de Gruyter. This book was released on 2006-01-01 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1927 M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold. This became a starting point of the Morse theory which is now one of the basic parts of differential topology. It is a large and actively developing domain of differential topology, with applications and connections to many geometrical problems. The aim of the present book is to give a systematic treatment of the geometric foundations of a subfield of that topic, the circle-valued Morse functions, a subfield of Morse theory.
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.
Author :
Publisher :
ISBN 13 :
Total Pages : 984 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Tin-gun Yung
Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (89 download)
Download or read book Isolated Invariant Sets of Semi-flows on Compact Metric Spaces written by Tin-gun Yung and published by . This book was released on 1975 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David N. Cheban
Publisher : Springer Nature
ISBN 13 : 3030342921
Total Pages : 434 pages
Book Rating : 4.0/5 (33 download)
Download or read book Nonautonomous Dynamics written by David N. Cheban and published by Springer Nature. This book was released on 2020-01-22 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough introduction to the techniques used in the Chapters III-VI described by Chapter I-II. The author gives a systematic treatment of the basic mathematical theory and constructive methods for Nonautonomous Dynamics. They show how these diverse topics are connected to other important parts of mathematics, including Topology, Functional Analysis and Qualitative Theory of Differential/Difference Equations. Throughout the book a nice balance is maintained between rigorous mathematics and applications (ordinary differential/difference equations, functional differential equations and partial difference equations). The primary readership includes graduate and PhD students and researchers in in the field of dynamical systems and their applications (control theory, economic dynamics, mathematical theory of climate, population dynamics, oscillation theory etc).
Author : Helmut Hofer
Publisher : Birkhäuser
ISBN 13 : 3034885407
Total Pages : 356 pages
Book Rating : 4.0/5 (348 download)
Download or read book Symplectic Invariants and Hamiltonian Dynamics written by Helmut Hofer and published by Birkhäuser. This book was released on 2012-12-06 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of an old variational principal in classical mechanics has established global periodic phenomena in Hamiltonian systems. One of the links is a class of sympletic invariants, called sympletic capacities, and these invariants are the main theme of this book. Topics covered include basic sympletic geometry, sympletic capacities and rigidity, sympletic fixed point theory, and a survey on Floer homology and sympletic homology.
