| Dewey Class |
515.39 |
| 515.48 |
| Titel |
An Introduction to Sequential Dynamical Systems ([Ebook]) / by Henning S. Mortveit, Christian M. Reidys. |
| Verfasser |
Mortveit, Henning S. |
| Added Personal Name |
Reidys, Christian M. |
| Other name(s) |
SpringerLink (Online service) |
| Veröffentl |
Boston, MA : Springer US , 2008. |
| Physical Details |
XVI, 248 pages, 20 illus. : online resource. |
| ISBN |
9780387498799 |
| Summary Note |
Sequential Dynamical Systems (SDS) are a class of discrete dynamical systems which significantly generalize many aspects of systems such as cellular automata, and provide a framework for studying dynamical processes over graphs. This text is the first to provide a comprehensive introduction to SDS. Driven by numerous examples and thought-provoking problems, the presentation offers good foundational material on finite discrete dynamical systems which leads systematically to an introduction of SDS. Techniques from combinatorics, algebra and graph theory are used to study a broad range of topics, including reversibility, the structure of fixed points and periodic orbits, equivalence, morphisms and reduction. Unlike other books that concentrate on determining the structure of various networks, this book investigates the dynamics over these networks by focusing on how the underlying graph structure influences the properties of the associated dynamical system. This book is aimed at graduate students and researchers in discrete mathematics, dynamical systems theory, theoretical computer science, and systems engineering who are interested in analysis and modeling of network dynamics as well as their computer simulations. Prerequisites include knowledge of calculus and basic discrete mathematics. Some computer experience and familiarity with elementary differential equations and dynamical systems are helpful but not necessary.: |
| Contents note |
Preface -- What is a Sequential Dynamical System?- A Comparative Study -- Graphs, Groups, and Dynamical Systems -- Sequential Dynamical Systems over Permutations -- Phase-Space Structure of SDS and Special Systems -- Graphs, Groups, and SDS -- Combinatorics of Sequential Dynamical Systems over Words -- Outlook -- References -- Index. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
http://dx.doi.org/10.1007/978-0-387-49879-9 |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Applications of Mathematics .
Computational Complexity .
Computer simulation .
Differentiable dynamical systems .
Discrete Mathematics in Computer Science .
Dynamical systems and ergodic theory .
Mathematics .
Simulation and Modeling .
Authors:
Corporate Authors:
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