000 | 03552nam a22005535i 4500 | ||
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001 | 978-0-387-49879-9 | ||
003 | DE-He213 | ||
005 | 20161121231206.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2008 xxu| s |||| 0|eng d | ||
020 |
_a9780387498799 _9978-0-387-49879-9 |
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024 | 7 |
_a10.1007/978-0-387-49879-9 _2doi |
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050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aMortveit, Henning S. _eauthor. |
|
245 | 1 | 3 |
_aAn Introduction to Sequential Dynamical Systems _h[electronic resource] / _cby Henning S. Mortveit, Christian M. Reidys. |
264 | 1 |
_aBoston, MA : _bSpringer US, _c2008. |
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300 |
_aXII, 248 p. 73 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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505 | 0 | _aWhat 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. | |
520 | _aSequential 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. | ||
650 | 0 | _aMathematics. | |
650 | 0 |
_aComputer science _xMathematics. |
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650 | 0 | _aComputer simulation. | |
650 | 0 | _aMathematical analysis. | |
650 | 0 | _aAnalysis (Mathematics). | |
650 | 0 | _aDynamics. | |
650 | 0 | _aErgodic theory. | |
650 | 0 | _aApplied mathematics. | |
650 | 0 | _aEngineering mathematics. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aAnalysis. |
650 | 2 | 4 | _aDynamical Systems and Ergodic Theory. |
650 | 2 | 4 | _aSimulation and Modeling. |
650 | 2 | 4 | _aApplications of Mathematics. |
650 | 2 | 4 | _aDiscrete Mathematics in Computer Science. |
700 | 1 |
_aReidys, Christian M. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9780387306544 |
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-0-387-49879-9 |
912 | _aZDB-2-SMA | ||
950 | _aMathematics and Statistics (Springer-11649) | ||
999 |
_c509911 _d509911 |