Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Sequential Dynamical Systems
Download Sequential Dynamical Systems full books in PDF, epub, and Kindle. Read online Sequential Dynamical Systems ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis An Introduction to Sequential Dynamical Systems by : Henning Mortveit
Download or read book An Introduction to Sequential Dynamical Systems written by Henning Mortveit and published by Springer Science & Business Media. This book was released on 2007-11-27 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text to the class of Sequential Dynamical Systems (SDS) is the first textbook on this timely subject. Driven by numerous examples and thought-provoking problems throughout, the presentation offers good foundational material on finite discrete dynamical systems, which then leads systematically to an introduction of SDS. From a broad range of topics on structure theory - equivalence, fixed points, invertibility and other phase space properties - thereafter SDS relations to graph theory, classical dynamical systems as well as SDS applications in computer science are explored. This is a versatile interdisciplinary textbook.
Book Synopsis Sequential dynamical systems by : Mariana Raykova
Download or read book Sequential dynamical systems written by Mariana Raykova and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Simulation and Sequential Dynamical Systems by :
Download or read book Simulation and Sequential Dynamical Systems written by and published by . This book was released on 1999 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Sequential Dynamical Systems and Simulation by :
Download or read book On Sequential Dynamical Systems and Simulation written by and published by . This book was released on 1999 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sequential Dynamical Systems with Threshold Functions by :
Download or read book Sequential Dynamical Systems with Threshold Functions written by and published by . This book was released on 2001 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sequential dynamical system (SDS) (see [BH+01] and the references therein) consists of an undirected graph G(V, E) where each node [nu] [epsilon] V is associated with a Boolean state (s{sub [nu]}) and a symmetric Boolean function f{sub [nu]} (called the local transition function at [nu]). The inputs to f{sub {nu}} are s{sub {nu}} and the states of all the nodes adjacent to {nu}. In each step of the SDS, the nodes update their state values using their local transition functions in the order specified by a given permutation [pi] of the nodes. A configuration of the SDS is an n-tuple (b1, b2 ..., b{sub n}) where n =
Book Synopsis On Theoretical Issues of Computer Simulations Sequential Dynamical Systems by :
Download or read book On Theoretical Issues of Computer Simulations Sequential Dynamical Systems written by and published by . This book was released on 1998 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study a class of discrete dynamical systems that is motivated by the generic structure of simulations. The systems consist of the following data: (a) a finite graph Y with vertex set {l_brace}1, ..., n{r_brace} where each vertex has a binary state, (b) functions F{sub i}:F2??20--?? → F2??20--?? and (c) an update ordering?. The functions F{sub i} update the binary state of vertex i as a function of the state of vertex i and its Y-neighbors and leave the states of all other vertices fixed. The update ordering is a permutation of the Y-vertices. They derive a decomposition result, characterize invertible SDS and study fixed points. In particular they analyze how many different SDS that can be obtained by reordering a given multiset of update functions and give a criterion for when one can derive concentration results on this number. Finally, some specific SDS are investigated.
Book Synopsis Predecessor and Permutation Existence Problems for Sequential Dynamical Systems by :
Download or read book Predecessor and Permutation Existence Problems for Sequential Dynamical Systems written by and published by . This book was released on 2002 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: A class of finite discrete dynamical systems, called Sequential Dynamical Systems (SDSs), was introduced in BMR99, BR991 as a formal model for analyzing simulation systems. An SDS S is a triple (G, F, n), w here (i) G(V, E) is an undirected graph with n nodes with each node having a state, (ii) F = (fi, fi, . . ., fn), with fi denoting a function associated with node ui E V and (iii) A is a permutation of (or total order on) the nodes in V, A configuration of an SDS is an n-vector (b l, bz, . . ., bn), where bi is the value of the state of node vi. A single SDS transition from one configuration to another is obtained by updating the states of the nodes by evaluating the function associated with each of them in the order given by n. Here, we address the complexity of two basic problems and their generalizations for SDSs. Given an SDS S and a configuration C, the PREDECESSOR EXISTENCE (or PRE) problem is to determine whether there is a configuration C' such that S has a transition from C' to C. (If C has no predecessor, C is known as a garden of Eden configuration.) Our results provide separations between efficiently solvable and computationally intractable instances of the PRE problem. For example, we show that the PRE problem can be solved efficiently for SDSs with Boolean state values when the node functions are symmetric and the underlying graph is of bounded treewidth. In contrast, we show that allowing just one non-symmetric node function renders the problem NP-complete even when the underlying graph is a tree (which has a treewidth of 1). We also show that the PRE problem is efficiently solvable for SDSs whose state values are from a field and whose node functions are linear. Some of the polynomial algorithms also extend to the case where we want to find an ancestor configuration that precedes a given configuration by a logarithmic number of steps. Our results extend some of the earlier results by Sutner [Su95] and Green [@87] on the complexity of the PREDECESSOR EXISTENCE problem for 1-dimensional cellular automata. Given the underlying graph G(V, E), and two configurations C and C' of an SDS S, the PERMUTATION EXISTENCE (or PME) problem is to determine whether there is a permutation of nodes such that 8 has a transition from C' to C in one step. We show that the PME problem is NP-complete even when the function associated with each node is a simple-threshold function. We also show that a generalized version of the PME(GEN-PMEp)r oblem is NP-complete for SDSs where each node function is NOR and the underlying graph has a maximum node degree of 3. When each node computes the OR function or when each node computes the AND function, we show that the GEN-PMEpr oblem is solvable in polynomial time.
Book Synopsis Analysis Problems for Sequential Dynamical Systems and Communicating State Machines by :
Download or read book Analysis Problems for Sequential Dynamical Systems and Communicating State Machines written by and published by . This book was released on 2001 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: A simple sequential dynamical system (SDS) is a triple (G, F, [pi]), where (i) G(V, E) is an undirected graph with n nodes with each node having a 1-bit state, (ii) F = [f1, f2 ..., f{sub n}] is a set of local transition functions with f{sub i} denoting a Boolean function associated with node Vv{sub i} and (iii) [pi] is a fixed permutation of (i.e., a total order on) the nodes in V.A single SDS transition is obtained by updating the states of the nodes in V by evaluating the function associated with each of them in the order given by [pi]. Such a (finite) SDS is a mathematical abstraction of simulation systems [BMR99, BR99]. In this paper, we characterize the computational complexity of determining several phase space properties of SDSs. The properties considered are t-REACHABILITY ('Can a given SDS starting from configuration I reach configuration B in t or fewer transitions?'), REACHABILITY('Can a given SDS starting from configuration I ever reach configuration B?') and FIXED POINT REACHABILITY ('Can a given SDS starting from configuration I ever reach configuration in which it stays for ever?'). Our main result is a sharp dichotomy between classes of SDSs whose behavior is 'easy' to predict and those whose behavior is 'hard' to predict. Specifically, we show the following. (1) The t-REACHABILITY, REACHABILITY and the FIXED POINT REACHABILITY problems for SDSs are PSPACE-complete, even when restricted to graphs of bounded bandwidth (and hence of bounded pathwidth and treewidth) and when the function associated with each node is symmetric. The result holds even for regular graphs of constant degree where all the nodes compute the same symmetric Boolean function. (2) In contrast, the t-REACHABILITYm REACHABILITY and FIXED POINT REACHABILITY problems are solvable in polynomial time for SDSs when the Boolean function associated with each node is symmetric and monotone. Two important consequences of our results are the following: (i) The close correspondence between SDSs and cellular automata (CA), in conjunctio with our lower bounds for SDSs, yields stronger lower bounds on the complexity of reachability problems for CA than known previously. (ii) REACHABILITY problems for hierarchically-specified linearly inter-connected copies of a single finite automaton are EXPSPACE-hard. The results can be combined with our related results to show hardness of a number of equivalence relations for such automata. The results can also be used to demonstrate that determining the sensitivity to initial conditions of such automata (as proposed in [Mo90, BPT91]) is computationally intractable.
Book Synopsis Dynamical Systems and Processes by : Michel Weber
Download or read book Dynamical Systems and Processes written by Michel Weber and published by European Mathematical Society. This book was released on 2009 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents in a concise and accessible way, as well as in a common setting, various tools and methods arising from spectral theory, ergodic theory and stochastic processes theory, which form the basis of and contribute interactively a great deal to the current research on almost-everywhere convergence problems. Researchers working in dynamical systems and at the crossroads of spectral theory, ergodic theory and stochastic processes will find the tools, methods, and results presented in this book of great interest. It is written in a style accessible to graduate students.
Book Synopsis Sequential Hypothesis for Order Estimation of Dynamical Systems by : Kim Joseph Olszewski
Download or read book Sequential Hypothesis for Order Estimation of Dynamical Systems written by Kim Joseph Olszewski and published by . This book was released on 1991 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Extremes and Recurrence in Dynamical Systems by : Valerio Lucarini
Download or read book Extremes and Recurrence in Dynamical Systems written by Valerio Lucarini and published by John Wiley & Sons. This book was released on 2016-04-04 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a team of international experts, Extremes and Recurrence in Dynamical Systems presents a unique point of view on the mathematical theory of extremes and on its applications in the natural and social sciences. Featuring an interdisciplinary approach to new concepts in pure and applied mathematical research, the book skillfully combines the areas of statistical mechanics, probability theory, measure theory, dynamical systems, statistical inference, geophysics, and software application. Emphasizing the statistical mechanical point of view, the book introduces robust theoretical embedding for the application of extreme value theory in dynamical systems. Extremes and Recurrence in Dynamical Systems also features: • A careful examination of how a dynamical system can serve as a generator of stochastic processes • Discussions on the applications of statistical inference in the theoretical and heuristic use of extremes • Several examples of analysis of extremes in a physical and geophysical context • A final summary of the main results presented along with a guide to future research projects • An appendix with software in Matlab® programming language to help readers to develop further understanding of the presented concepts Extremes and Recurrence in Dynamical Systems is ideal for academics and practitioners in pure and applied mathematics, probability theory, statistics, chaos, theoretical and applied dynamical systems, statistical mechanics, geophysical fluid dynamics, geosciences and complexity science. VALERIO LUCARINI, PhD, is Professor of Theoretical Meteorology at the University of Hamburg, Germany and Professor of Statistical Mechanics at the University of Reading, UK. DAVIDE FARANDA, PhD, is Researcher at the Laboratoire des science du climat et de l’environnement, IPSL, CEA Saclay, Université Paris-Saclay, Gif-sur-Yvette, France. ANA CRISTINA GOMES MONTEIRO MOREIRA DE FREITAS, PhD, is Assistant Professor in the Faculty of Economics at the University of Porto, Portugal. JORGE MIGUEL MILHAZES DE FREITAS, PhD, is Assistant Professor in the Department of Mathematics of the Faculty of Sciences at the University of Porto, Portugal. MARK HOLLAND, PhD, is Senior Lecturer in Applied Mathematics in the College of Engineering, Mathematics and Physical Sciences at the University of Exeter, UK. TOBIAS KUNA, PhD, is Associate Professor in the Department of Mathematics and Statistics at the University of Reading, UK. MATTHEW NICOL, PhD, is Professor of Mathematics at the University of Houston, USA. MIKE TODD, PhD, is Lecturer in the School of Mathematics and Statistics at the University of St. Andrews, Scotland. SANDRO VAIENTI, PhD, is Professor of Mathematics at the University of Toulon and Researcher at the Centre de Physique Théorique, France.
Book Synopsis Unconventional Computation by : Cristian S. Calude
Download or read book Unconventional Computation written by Cristian S. Calude and published by Springer Science & Business Media. This book was released on 2005-09-19 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Conference on Unconventional Computation, UC 2005, held in Sevilla, Spain in September 2005. The conference formerly was named Unconventional Models of Computation (UMC). The 19 revised full papers presented together with 5 invited full papers were carefully reviewed and selected for inclusion in the book. All major areas of unconventional computing models are covered in theory as well as in experiments and applications. Topics addressed are: natural computing including quantum, cellular, molecular, neural and evolutionary computing; chaos and dynamical systems based computing; and various proposals for computations that go beyond the Turing model.
Book Synopsis Dynamical Systems: Theoretical and Experimental Analysis by : Jan Awrejcewicz
Download or read book Dynamical Systems: Theoretical and Experimental Analysis written by Jan Awrejcewicz and published by Springer. This book was released on 2016-09-17 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the second volume of a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the international conference "Dynamical Systems: Theory and Applications," held in Łódź, Poland on December 7-10, 2015. The studies give deep insight into new perspectives in analysis, simulation, and optimization of dynamical systems, emphasizing directions for future research. Broadly outlined topics covered include: bifurcation and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, stability of dynamical systems, vibrations of lumped and continuous sytems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.
Author :American Mathematical Society. Short Course, Modeling and Simulation of Biological Networks Publisher :American Mathematical Soc. ISBN 13 :0821839640 Total Pages :161 pages Book Rating :4.8/5 (218 download)
Book Synopsis Modeling and Simulation of Biological Networks by : American Mathematical Society. Short Course, Modeling and Simulation of Biological Networks
Download or read book Modeling and Simulation of Biological Networks written by American Mathematical Society. Short Course, Modeling and Simulation of Biological Networks and published by American Mathematical Soc.. This book was released on 2007 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to explain some of the biology and the computational and mathematical challenges with the modeling and simulation of biological networks. The different chapters provide examples of how these challenges are met, with particular emphasis on nontraditional mathematical approaches. The volume features a broad spectrum of networks across scales, ranging from biochemical networks within a single cell to epidemiological networks encompassing whole cities. Also, this volume is broad in the range of mathematical tools used in solving problems involving these networks.
Book Synopsis Ergodic Theory and Related Fields by : Idris Assani
Download or read book Ergodic Theory and Related Fields written by Idris Assani and published by American Mathematical Soc.. This book was released on 2007 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains papers by participants of the Chapel Hill Ergodic Theory Workshops organized in February 2004, 2005, and 2006. Topics covered by these papers illustrate the interaction between ergodic theory and related fields such as harmonic analysis, number theory, and probability theory.
Book Synopsis Optimal Estimation of Dynamic Systems by : John L. Crassidis
Download or read book Optimal Estimation of Dynamic Systems written by John L. Crassidis and published by CRC Press. This book was released on 2004-04-27 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most newcomers to the field of linear stochastic estimation go through a difficult process in understanding and applying the theory.This book minimizes the process while introducing the fundamentals of optimal estimation. Optimal Estimation of Dynamic Systems explores topics that are important in the field of control where the signals received are used to determine highly sensitive processes such as the flight path of a plane, the orbit of a space vehicle, or the control of a machine. The authors use dynamic models from mechanical and aerospace engineering to provide immediate results of estimation concepts with a minimal reliance on mathematical skills. The book documents the development of the central concepts and methods of optimal estimation theory in a manner accessible to engineering students, applied mathematicians, and practicing engineers. It includes rigorous theoretial derivations and a significant amount of qualitiative discussion and judgements. It also presents prototype algorithms, giving detail and discussion to stimulate development of efficient computer programs and intelligent use of them. This book illustrates the application of optimal estimation methods to problems with varying degrees of analytical and numercial difficulty. It compares various approaches to help develop a feel for the absolute and relative utility of different methods, and provides many applications in the fields of aerospace, mechanical, and electrical engineering.
Book Synopsis Systemic Actions in Complex Scenarios by : James Ming Chen
Download or read book Systemic Actions in Complex Scenarios written by James Ming Chen and published by Cambridge Scholars Publishing. This book was released on 2017-08-21 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the contribution of General System Theory to the macro-level understanding of economic, social and technological changes in our epoch from a multidimensional perspective? What is the contribution of Social Action Theory on a micro-scale? Can complex scenario analyses, although based upon uncertainty and unpredictability, offer a viable toolkit for managing these transformations? This book contains twelve chapters, dealing with these questions from various points of view. It brings together essays in sociology, economics, law and humanities to provide as complete a representation as possible of the current global situation. The theoretical framework adopted here is that the systemic approach provides the most effective tool both for understanding social phenomena and elaborating policy-modelling strategies for decision makers that are supposed to tackle social criticalities.
