Simple Models Of Complex Systems
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| Author | : Angelo Vulpiani |
| Publisher | : World Scientific |
| Total Pages | : 482 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 9814277665 |
Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses. Sample Chapter(s). Introduction (164 KB). Chapter 1: First Encounter with Chaos (1,323 KB). Contents: First Encounter with Chaos; The Language of Dynamical Systems; Examples of Chaotic Behaviors; Probabilistic Approach to Chaos; Characterization of Chaotic Dynamical Systems; From Order to Chaos in Dissipative Systems; Chaos in Hamiltonian Systems; Chaos and Information Theory; Coarse-Grained Information and Large Scale Predictability; Chaos in Numerical and Laboratory Experiments; Chaos in Low Dimensional Systems; Spatiotemporal Chaos; Turbulence as a Dynamical System Problem; Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study. Readership: Students and researchers in science (physics, chemistry, mathematics, biology) and engineering.
| Author | : Nino Boccara |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 490 |
| Release | : 2010-09-09 |
| Genre | : Computers |
| ISBN | : 1441965629 |
This book illustrates how models of complex systems are built up and provides indispensable mathematical tools for studying their dynamics. This second edition includes more recent research results and many new and improved worked out examples and exercises.
| Author | : V. Vemuri |
| Publisher | : Academic Press |
| Total Pages | : 465 |
| Release | : 2014-05-10 |
| Genre | : Technology & Engineering |
| ISBN | : 1483267520 |
Modeling of Complex Systems: An Introduction describes the framework of complex systems. This book discusses the language of system theory, taxonomy of system concepts, steps in model building, and establishing relations using physical laws. The statistical attributes of data, generation of random numbers fundamental problems of recognition, and input-output type models are also elaborated. This text likewise covers the optimization with equality constraints, transfer function models, and competition among species. This publication is written primarily for senior undergraduate students and beginning graduate students who are interested in an interdisciplinary or multidisciplinary approach to large-scale or complex problems of contemporary societal interest.
| Author | : Angelo Vulpiani |
| Publisher | : World Scientific |
| Total Pages | : 482 |
| Release | : 2009-09-01 |
| Genre | : Mathematics |
| ISBN | : 9814467499 |
Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology.The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations.The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses.
| Author | : Igal Talmi |
| Publisher | : Routledge |
| Total Pages | : 1100 |
| Release | : 2017-10-06 |
| Genre | : Science |
| ISBN | : 1351416537 |
applications to the structure of atomic nuclei. The author systematically develops these models from the elementary level, through an introduction to tensor algebra, to the use of group theory in spectroscopy. The book's extensive and detailed appendix includes a large selection of useful formulae of tensor algebra and spectroscopy. The serious graduate student, as well as the professional physicist, will find this complete treatment of the shell model to be an invaluable addition to the literature.
| Author | : Cyrille Bertelle |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 233 |
| Release | : 2008-12-03 |
| Genre | : Technology & Engineering |
| ISBN | : 3540880739 |
This book, the outcome of a workshop meeting within ESM 2006, explores the use of emergent computing and self-organization modeling within various applications of complex systems.
| Author | : Alfons G. Hoekstra |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 392 |
| Release | : 2010-06-13 |
| Genre | : Computers |
| ISBN | : 3642122027 |
Deeply rooted in fundamental research in Mathematics and Computer Science, Cellular Automata (CA) are recognized as an intuitive modeling paradigm for Complex Systems. Already very basic CA, with extremely simple micro dynamics such as the Game of Life, show an almost endless display of complex emergent behavior. Conversely, CA can also be designed to produce a desired emergent behavior, using either theoretical methodologies or evolutionary techniques. Meanwhile, beyond the original realm of applications - Physics, Computer Science, and Mathematics – CA have also become work horses in very different disciplines such as epidemiology, immunology, sociology, and finance. In this context of fast and impressive progress, spurred further by the enormous attraction these topics have on students, this book emerges as a welcome overview of the field for its practitioners, as well as a good starting point for detailed study on the graduate and post-graduate level. The book contains three parts, two major parts on theory and applications, and a smaller part on software. The theory part contains fundamental chapters on how to design and/or apply CA for many different areas. In the applications part a number of representative examples of really using CA in a broad range of disciplines is provided - this part will give the reader a good idea of the real strength of this kind of modeling as well as the incentive to apply CA in their own field of study. Finally, we included a smaller section on software, to highlight the important work that has been done to create high quality problem solving environments that allow to quickly and relatively easily implement a CA model and run simulations, both on the desktop and if needed, on High Performance Computing infrastructures.
| Author | : John H. Miller |
| Publisher | : Princeton University Press |
| Total Pages | : 285 |
| Release | : 2009-11-28 |
| Genre | : Social Science |
| ISBN | : 1400835526 |
This book provides the first clear, comprehensive, and accessible account of complex adaptive social systems, by two of the field's leading authorities. Such systems--whether political parties, stock markets, or ant colonies--present some of the most intriguing theoretical and practical challenges confronting the social sciences. Engagingly written, and balancing technical detail with intuitive explanations, Complex Adaptive Systems focuses on the key tools and ideas that have emerged in the field since the mid-1990s, as well as the techniques needed to investigate such systems. It provides a detailed introduction to concepts such as emergence, self-organized criticality, automata, networks, diversity, adaptation, and feedback. It also demonstrates how complex adaptive systems can be explored using methods ranging from mathematics to computational models of adaptive agents. John Miller and Scott Page show how to combine ideas from economics, political science, biology, physics, and computer science to illuminate topics in organization, adaptation, decentralization, and robustness. They also demonstrate how the usual extremes used in modeling can be fruitfully transcended.
| Author | : John Barton |
| Publisher | : |
| Total Pages | : 103 |
| Release | : 2012 |
| Genre | : Statistical mechanics |
| ISBN | : |
When the complete description of a complex system of interest is out of reach, simple models which are more amenable to theoretical approach can give a qualitative understanding. In addition, the techniques and ideas developed in investigating simple model systems form a foundation for research on complex phenomena. In this thesis, composed of two parts, we study some representative models from statistical mechanics. In the first part we explore the ABC model, which describes three species of particles with asymmetric interactions. In the second part we consider the inverse Ising problem, using experimental data to infer an effective Ising model.
| Author | : Yaneer Bar-yam |
| Publisher | : CRC Press |
| Total Pages | : 866 |
| Release | : 2019-03-04 |
| Genre | : Mathematics |
| ISBN | : 0429717598 |
This book aims to develop models and modeling techniques that are useful when applied to all complex systems. It adopts both analytic tools and computer simulation. The book is intended for students and researchers with a variety of backgrounds.
