Morse Decomposition Of Semiflows On Topological Spaces
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Morse Decomposition Of Semiflows On Topological Spaces
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Author : Mauro Patrão
language : en
Publisher:
Release Date : 2005
Morse Decomposition Of Semiflows On Topological Spaces written by Mauro Patrão and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Compact spaces categories.
The Dynamic Morse Theory Of Control Systems
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Author : Josiney Souza
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2020-01-20
The Dynamic Morse Theory Of Control Systems written by Josiney Souza and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-20 with Mathematics categories.
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.
Morse Decomposition Of Semiflows On Fiber Bundles
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Author : Mauro Patrão
language : en
Publisher:
Release Date : 2005
Morse Decomposition Of Semiflows On Fiber Bundles written by Mauro Patrão and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Fiber bundles (Mathematics) categories.
Semiflows On Topological Spaces
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Author : Mauro Patrão
language : en
Publisher:
Release Date : 2005
Semiflows On Topological Spaces written by Mauro Patrão and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Flows (Differentiable dynamical systems) categories.
Attractors For Infinite Dimensional Non Autonomous Dynamical Systems
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Author : Alexandre Carvalho
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-25
Attractors For Infinite Dimensional Non Autonomous Dynamical Systems written by Alexandre Carvalho and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-25 with Mathematics categories.
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.
Attractors Under Autonomous And Non Autonomous Perturbations
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Author : Matheus C. Bortolan
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-05-29
Attractors Under Autonomous And Non Autonomous Perturbations written by Matheus C. Bortolan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-29 with Education categories.
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.
Advances In Mathematics And Applications
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Author : Carlile Lavor
language : en
Publisher: Springer
Release Date : 2018-09-07
Advances In Mathematics And Applications written by Carlile Lavor and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-07 with Mathematics categories.
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.
Environmental Impact V
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Author : J. Casares
language : en
Publisher: WIT Press
Release Date : 2020-08-18
Environmental Impact V written by J. Casares and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-18 with Business & Economics categories.
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.
Topological Methods For Variational Problems With Symmetries
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Author : Thomas Bartsch
language : en
Publisher: Springer
Release Date : 2006-11-15
Topological Methods For Variational Problems With Symmetries written by Thomas Bartsch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
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.
Discrete And Continuous Dynamical Systems
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Author :
language : en
Publisher:
Release Date : 2007
Discrete And Continuous Dynamical Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Differentiable dynamical systems categories.