Topology of Homomorphic Dynamical Systems and Related Topics PDF Download
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 159
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 159
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 159
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Book Description
Author: N. Aoki
Publisher: Elsevier
ISBN: 008088721X
Category : Mathematics
Languages : en
Pages : 425
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Book Description
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.
Author: Anima Nagar
Publisher: Springer Nature
ISBN: 9811978778
Category : Mathematics
Languages : en
Pages : 87
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Book Description
This book introduces the theory of enveloping semigroups—an important tool in the field of topological dynamics—introduced by Robert Ellis. The book deals with the basic theory of topological dynamics and touches on the advanced concepts of the dynamics of induced systems and their enveloping semigroups. All the chapters in the book are well organized and systematically dealing with introductory topics through advanced research topics. The basic concepts give the motivation to begin with, then the theory, and finally the new research-oriented topics. The results are presented with detailed proof, plenty of examples and several open questions are put forward to motivate for future research. Some of the results, related to the enveloping semigroup, are new to the existing literature. The enveloping semigroups of the induced systems is considered for the first time in the literature, and some new results are obtained. The book has a research-oriented flavour in the field of topological dynamics.
Author: Marcy Barge
Publisher: American Mathematical Soc.
ISBN: 9780821855829
Category : Mathematics
Languages : en
Pages : 268
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Book Description
This volume consists of the written presentations of lectures given at two special sessions: the AMS Special Session on Topology in Dynamics (Winston-Salem, NC) and the AMS-AWM Special Session on Geometry in Dynamics (San Antonio, TX). Each article concerns aspects of the topology or geometry of dynamical systems. Topics covered include the following: foliations and laminations, iterated function systems, the three-body problem, isotopy stability, homoclinic tangles, fractal dimension, Morse homology, knotted orbits, inverse limits, contact structures, Grassmanians, blowups, and continua. New results are presented reflecting current trends in topological aspects of dynamical systems. The book offers a wide variety of topics of special interest to those working this area bridging topology and dynamical systems.
Author: Sergei Yurievitch Pilyugin
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 212
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Book Description
Author: Ethan Akin
Publisher: Eurospan
ISBN: 9781470420642
Category : Differentiable dynamical systems
Languages : en
Pages : 261
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Book Description
Author: Robert Hermann
Publisher:
ISBN: 9780915692354
Category : Mathematics
Languages : en
Pages : 316
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 208
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Book Description
Author: Rudolf Albrecht
Publisher: Springer Science & Business Media
ISBN: 3709164516
Category : Computers
Languages : en
Pages : 320
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Book Description
There is hardly a science that is without the notion of "system". We have systems in mathematics, formal systems in logic, systems in physics, electrical and mechanical engineering, architectural-, operating-, infonnation-, programming systems in computer science, management-and PJoduction systems in industrial applications, economical-, ecological-, biological systems, and many more. In many of these disciplines formal tools for system specification, construction, verification, have been developed as well as mathematical concepts for system modeling and system simulation. Thus it is quite natural to expect that systems theory as an interdisciplinary and well established science offering general concepts and methods for a wide variety of applications is a subject in its own right in academic education. However, as can be seen from the literature and from the curricula of university studies -at least in Central Europe-, it is subordinated and either seen as part of mathematics with the risk that mathematicians, who may not be familiar with applications, define it in their own way, or it is treated separately within each application field focusing on only those aspects which are thought to be needed in the particular application. This often results in uneconomical re-inventing and re-naming of concepts and methods within one field, while the same concepts and methods are already well introduced and practiced in other fields. The fundamentals on general systems theory were developed several decades ago. We note the pioneering work of M. A. Arbib, R. E. Kalman, G. 1. Klir, M. D.
