Dynamic Topology
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Dynamic Topology
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Author : G. Whyburn
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Dynamic Topology written by G. Whyburn 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 2012-12-06 with Mathematics categories.
It is a privilege for me to write a foreword for this unusual book. The book is not primarily a reference work although many of the ideas and proofs are explained more clearly here than in any other source that I know. Nor is this a text of the customary sort. It is rather a record of a particular course and Gordon Whyburn's special method of teaching it. Perhaps the easiest way to describe the course and the method is to relate my own personal experience with a forerunner of this same course in the academic year 1937-1938. At that time, the course was offered every other year with a following course in algebraic topology on alternate years. There were five of us enrolled, and on the average we knew less mathematics than is now routinely given in a junior course in analysis. Whyburn's purpose, as we learned, was to prepare us in minimal time for research in the areas in which he was inter ested. His method was remarkable.
Dynamic Topology
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Author : Gordon Whyburn
language : en
Publisher:
Release Date : 1998
Dynamic Topology written by Gordon Whyburn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
The General Topology Of Dynamical Systems
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Author : Ethan Akin
language : en
Publisher: American Mathematical Soc.
Release Date : 1993
The General Topology Of Dynamical Systems written by Ethan Akin 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 1993 with Mathematics categories.
Recent work in dynamical systems theory has both highlighted certain topics in the pre-existing subject of topological dynamics (such as the construction of Lyapunov functions and various notions of stability) and also generated new concepts and results. This book collects these results, both old and new, and organises them into a natural foundation for all aspects of dynamical systems theory.
Cooperative Control Of Complex Network Systems With Dynamic Topologies
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Author : Guanghui Wen
language : en
Publisher: CRC Press
Release Date : 2021-07-01
Cooperative Control Of Complex Network Systems With Dynamic Topologies written by Guanghui Wen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-01 with Technology & Engineering categories.
Far from being separate entities, many social and engineering systems can be considered as complex network systems (CNSs) associated with closely linked interactions with neighbouring entities such as the Internet and power grids. Roughly speaking, a CNS refers to a networking system consisting of lots of interactional individuals, exhibiting fascinating collective behaviour that cannot always be anticipated from the inherent properties of the individuals themselves. As one of the most fundamental examples of cooperative behaviour, consensus within CNSs (or the synchronization of complex networks) has gained considerable attention from various fields of research, including systems science, control theory and electrical engineering. This book mainly studies consensus of CNSs with dynamics topologies - unlike most existing books that have focused on consensus control and analysis for CNSs under a fixed topology. As most practical networks have limited communication ability, switching graphs can be used to characterize real-world communication topologies, leading to a wider range of practical applications. This book provides some novel multiple Lyapunov functions (MLFs), good candidates for analysing the consensus of CNSs with directed switching topologies, while each chapter provides detailed theoretical analyses according to the stability theory of switched systems. Moreover, numerical simulations are provided to validate the theoretical results. Both professional researchers and laypeople will benefit from this book.
Dynamics Topology And Numbers
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Author : Pieter Moree
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-02-12
Dynamics Topology And Numbers written by Pieter Moree 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 2020-02-12 with Education categories.
This volume contains the proceedings of the conference Dynamics: Topology and Numbers, held from July 2–6, 2018, at the Max Planck Institute for Mathematics, Bonn, Germany. The papers cover diverse fields of mathematics with a unifying theme of relation to dynamical systems. These include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics. The volume is dedicated to the memory of Sergiy Kolyada and also contains some personal accounts of his life and mathematics.
Specification And Verification Of Dynamic Topology Systems
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Author : Bernd Westphal
language : en
Publisher:
Release Date : 2008
Specification And Verification Of Dynamic Topology Systems written by Bernd Westphal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Topological Dynamical Systems
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Author : Jan Vries
language : en
Publisher: Walter de Gruyter
Release Date : 2014-01-31
Topological Dynamical Systems written by Jan Vries and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-31 with Mathematics categories.
There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.
Topological Theory Of Dynamical Systems
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Author : N. Aoki
language : en
Publisher: Elsevier
Release Date : 1994-06-03
Topological Theory Of Dynamical Systems written by N. Aoki and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-03 with Mathematics categories.
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.
Correct By Construction Development Of Dynamic Topology Control Algorithms
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Author : Roland Speith
language : en
Publisher:
Release Date : 2018
Correct By Construction Development Of Dynamic Topology Control Algorithms written by Roland Speith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Dynamic Topology Optimization Of Plate For Vibration Suppression
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Author : Li Zhu
language : en
Publisher:
Release Date : 2019
Dynamic Topology Optimization Of Plate For Vibration Suppression written by Li Zhu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
