Topology, the foundation of modern analysis, arose historically as a way to organize ideas like compactness and connectedness which had emerged from analysis. Similarly, 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 (such as attractors, chain recurrence, and basic sets). This book collects these results, both old and new, and organizes them into a natural foundation for all aspects of dynamical systems theory. No existing book is comparable in content or scope. Requiring background in point-set topology and some degree of ``mathematical sophistication'', Akin's book serves as an excellent textbook for a graduate course in dynamical systems theory. In addition, Akin's reorganization of previously scattered results makes this book of interest to mathematicians and other researchers who use dynamical systems in their work.
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"No other single text has heretofore presented such a unified treatment of these topological ideas at this level of generality." -- Mathematical Reviews
No other single text has heretofore presented such a unified treatment of these topological ideas at this level of generality. --Mathematical Reviews
No other single text has heretofore presented such a unified treatment of these topological ideas at this level of generality. --Mathematical Reviews
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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14
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- Shadowing in Dynamical Systems - Theory and Applications (MATHEMATICS AND ITS APPLICATIONS Volume 501) by K.J. Palmer in Back Matter
- Six Lectures on Dynamical Systems by Bernd Aulbach on page 42
- The Dynamics of Control (Systems & Control: Foundations & Applications) by Fritz Colonius in Back Matter
- Advances in Mathematical Economics 2 by S. Kusuoka on page 19
- Foundations of Genetic Algorithms 1995 (FOGA 3) (v. 3) by FOGA on page 113
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