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Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the space-time behaviour of spatially extended systems? Does memory increase complexity? This book provides answers to these questions. It focuses on the study of spatially extended systems, i.e., cellular automata and other related discrete complex systems. Thus, arrays of locally connected finite state machines, or cells, update their states simultaneously, in discrete time, by the same transition rule. The classical dynamics in these systems is Markovian: only the actual configuration is taken into account to generate the next one. Generalizing the conventional view on spatially extended discrete dynamical systems evolution by allowing cells (or nodes) to be featured by some trait state computed as a function of its own previous state-values, the transition maps of the classical systems are kept unaltered, so that the effect of memory can be easily traced. The book demonstrates that discrete dynamical systems with memory are not only priceless tools for modeling natural phenomena but unique mathematical and aesthetic objects.
Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the space-time behaviour of spatially extended systems? Does memory increase complexity? This book provides answers to these questions.It focuses on the study of spatially extended systems, i.e., cellular automata and other related discrete complex systems. Thus, arrays of locally connected finite state machines, or cells, update their states simultaneously, in discrete time, by the same transition rule. The classical dynamics in these systems is Markovian: only the actual configuration is taken into account to generate the next one.Generalizing the conventional view on spatially extended discrete dynamical systems evolution by allowing cells (or nodes) to be featured by some trait state computed as a function of its own previous state-values, the transition maps of the classical systems are kept unaltered, so that the effect of memory can be easily traced.The book demonstrates that discrete dynamical systems with memory are not only priceless tools for modeling natural phenomena but unique mathematical and aesthetic objects.
"Discrete linear systems and digital signal processing have been treated for years in separate publications. ElAli has skillfully combined these two subjects into a single and very useful volume. Useful for electrical and computer engineering students and working professionals a nice addition to the shelves of academic and public libraries. "Sum
Proceedings of the NATO ARW, Shoresh, Israel, from 30 June to 4 July 2003
This book examines discrete dynamical systems with memory—nonlinear systems that exist extensively in biological organisms and financial and economic organizations, and time-delay systems that can be discretized into the memorized, discrete dynamical systems. It book further discusses stability and bifurcations of time-delay dynamical systems that can be investigated through memorized dynamical systems as well as bifurcations of memorized nonlinear dynamical systems, discretization methods of time-delay systems, and periodic motions to chaos in nonlinear time-delay systems. The book helps readers find analytical solutions of MDS, change traditional perturbation analysis in time-delay systems, detect motion complexity and singularity in MDS; and determine stability, bifurcation, and chaos in any time-delay system.
The purpose of this symposium is to bring together scientists working on continuum theories of discrete mechanical and thermodynamical systems in the realm of mathematics, theoretical and applied mechanics, physics, material science and engineering. It aims to join together the divergent languages, questions and methods developed in the respective disciplines and to stimulate broad interdisciplinary exchange of ideas and results. The main topics, discussed in the lectures, concern thermodynamics, transport theory, statistical mechanics; continuum mechanics of complex fluids and deformable solids with microstructure; continuum theory of living structures; defect dynamics, synergetics, solitons, coherent structures; dislocations and plasticity; fundamentals of fracture mechanics.
Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equations. Areas covered include: Ordinary and partial differential systems; Optimal control of deterministic and stochastic evolution equations; Control theory of Partial Differential Equations (PDE's); Optimization methods in PDE's with numerous applications to mechanics and physics; Inverse problems; Stability theory; Abstract optimization problems; Calculus of variations; Numerical treatment of solutions to differential equations and related optimization problems. These research fields are under very active development and the present volume should be of interest to students and researchers working in applied mathematics or in system engineering. This volume contains selected contributions presented during the International Working Conference on Analysis and Optimization of Differential Systems, which was sponsored by the International Federation for Information Processing (IFIP) and held in Constanta, Romania in September 2002. Among the aims of this conference was the creation of new international contacts and collaborations, taking advantage of the new developments in Eastern Europe, particularly in Romania. The conference benefited from the support of the European Union via the EURROMMAT program.
Timing, memory, power dissipation, testing, and testability are all crucial elements of VLSI circuit design. In this volume culled from the popular VLSI Handbook, experts from around the world provide in-depth discussions on these and related topics. Stacked gate, embedded, and flash memory all receive detailed treatment, including their power cons
Computer modeling and simulation (M&S) allows engineers to study and analyze complex systems. Discrete-event system (DES)-M&S is used in modern management, industrial engineering, computer science, and the military. As computer speeds and memory capacity increase, so DES-M&S tools become more powerful and more widely used in solving real-life problems. Based on over 20 years of evolution within a classroom environment, as well as on decades-long experience in developing simulation-based solutions for high-tech industries, Modeling and Simulation of Discrete-Event Systems is the only book on DES-M&S in which all the major DES modeling formalisms – activity-based, process-oriented, state-based, and event-based – are covered in a unified manner: A well-defined procedure for building a formal model in the form of event graph, ACD, or state graph Diverse types of modeling templates and examples that can be used as building blocks for a complex, real-life model A systematic, easy-to-follow procedure combined with sample C# codes for developing simulators in various modeling formalisms Simple tutorials as well as sample model files for using popular off-the-shelf simulators such as SIGMA®, ACE®, and Arena® Up-to-date research results as well as research issues and directions in DES-M&S Modeling and Simulation of Discrete-Event Systems is an ideal textbook for undergraduate and graduate students of simulation/industrial engineering and computer science, as well as for simulation practitioners and researchers.
More figures will bridge the gap between mathematics and visualization of the communication system KEY FEATURES ● More figures to visualize the communication system. ● Limited mathematics to explain the concept. ● Complete overview of the communication system. DESCRIPTION In today's tech-driven world, communication systems play a crucial role in sharing information effectively. The book, Analog and Digital Communication helps you grasp the fundamental principles of these systems, enabling you to analyze and visualize information flow. This book on communication systems teaches you the basics of how information travels. It covers key concepts and tools, showing how analog information is transmitted on a carrier signal using techniques like AM and FM. You will also learn about converting analog signals to digital data and using modulation techniques like ASK and PSK. The book explains handling noise in communication and introduces information theory to understand data capacity and noise impact. It covers performance metrics like BER and channel coding for error correction. Additionally, it explores wireless and optical communication technologies like cellular networks, Wi-Fi, and optical fiber communication. By the end of this book, you will master analyzing digital modulation, understanding noise in communication, and using error correction methods. You will explore modern wireless and optical communication with light pulses, gaining skills to navigate the communication world confidently. WHAT YOU WILL LEARN ● Visualize communication techniques. ● Relate the mathematical expressions with communication techniques. ● Find out the importance of different parameters in the performance of the communication system. ● Understand the impact of noise and techniques to overcome it. ● Analyze and design the communication systems. WHO THIS BOOK IS FOR This book is suitable for undergraduate ECE students in all universities, as well as students of ICT and anyone interested in communication. It is ideal for engineering students, aspiring communication professionals, and curious individuals seeking insights into the technology connecting our world. TABLE OF CONTENTS 1. Introduction to Communication 2. Mathematical Basics 3. Communication Channel 4. Analog Modulation Technique 5. Sampling, Quantization, and Line Coding 6. Digital Modulation Techniques 7. Signal Detection in Presence of Noise 8. Information Theory 9. Performance of Communication System 10. Channel Coding 11. Wireless Communication 12. Optical Communication