Topological Theory of Dynamical Systems

Topological Theory of Dynamical Systems

Author: N. Aoki

Publisher: Elsevier

Published: 1994-06-03

Total Pages: 425

ISBN-13: 008088721X

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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.


General Topology and Applications

General Topology and Applications

Author: Shortt

Publisher: CRC Press

Published: 1990-02-23

Total Pages: 312

ISBN-13: 9780824783495

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Proceedings of the Northeast Conference on the subject at Wesleyan University, Connecticut, in June 1988. The two dozen papers, by mathematicians from the US, Canada, and the Netherlands, report on recent advances in topology for research mathematicians and graduate students. They focus on the theor


The User's Approach to Topological Methods in 3D Dynamical Systems

The User's Approach to Topological Methods in 3D Dynamical Systems

Author: Mario A. Natiello

Publisher: World Scientific

Published: 2007

Total Pages: 142

ISBN-13: 9812771484

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This book presents the development and application of some topological methods in the analysis of data coming from 3D dynamical systems (or related objects). The aim is to emphasize the scope and limitations of the methods, what they provide and what they do not provide. Braid theory, the topology of surface homeomorphisms, data analysis and the reconstruction of phase-space dynamics are thoroughly addressed.


The User's Approach For Topological Methods In 3d Dynamical Systems

The User's Approach For Topological Methods In 3d Dynamical Systems

Author: Mario A Natiello

Publisher: World Scientific

Published: 2007-06-15

Total Pages: 142

ISBN-13: 9814476552

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This book presents the development and application of some topological methods in the analysis of data coming from 3D dynamical systems (or related objects). The aim is to emphasize the scope and limitations of the methods, what they provide and what they do not provide. Braid theory, the topology of surface homeomorphisms, data analysis and the reconstruction of phase-space dynamics are thoroughly addressed.