TY - BOOK ID - 216334 TI - An Introduction to Sequential Dynamical Systems AU - Mortveit, Henning. AU - Reidys, Christian. PY - 2008 SN - 0387498796 0387306544 PB - New York, NY : Springer US : Imprint: Springer, DB - UniCat KW - Differentiable dynamical systems. KW - Sequential analysis. KW - Mathematical statistics KW - Statistical decision KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Differential equations KW - Global analysis (Mathematics) KW - Topological dynamics KW - Global analysis (Mathematics). KW - Computer simulation. KW - Mathematics. KW - Computational complexity. KW - Analysis. KW - Dynamical Systems and Ergodic Theory. KW - Simulation and Modeling. KW - Applications of Mathematics. KW - Discrete Mathematics in Computer Science. KW - Complexity, Computational KW - Electronic data processing KW - Machine theory KW - Math KW - Science KW - Computer modeling KW - Computer models KW - Modeling, Computer KW - Models, Computer KW - Simulation, Computer KW - Electromechanical analogies KW - Mathematical models KW - Simulation methods KW - Model-integrated computing KW - Analysis, Global (Mathematics) KW - Differential topology KW - Functions of complex variables KW - Geometry, Algebraic KW - Mathematical analysis. KW - Analysis (Mathematics). KW - Dynamics. KW - Ergodic theory. KW - Applied mathematics. KW - Engineering mathematics. KW - Computer science—Mathematics. KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Ergodic transformations KW - Continuous groups KW - Mathematical physics KW - Measure theory KW - Transformations (Mathematics) KW - Dynamical systems KW - Kinetics KW - Mathematics KW - Mechanics, Analytic KW - Force and energy KW - Mechanics KW - Physics KW - Statics KW - 517.1 Mathematical analysis UR - https://www.unicat.be/uniCat?func=search&query=sysid:216334 AB - 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. ER -