Download or read book Replication of Chaos in Neural Networks Economics and Physics written by Marat Akhmet and published by Springer. This book was released on 2015-08-13 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics.
Download or read book Dynamics with Chaos and Fractals written by Marat Akhmet and published by Springer Nature. This book was released on 2020-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. This is the first time in the literature that the description of chaos is initiated from a single motion. Chaos is now placed on the line of oscillations, and therefore, it is a subject of study in the framework of the theories of dynamical systems and differential equations, as in this book. The techniques introduced in the book make it possible to develop continuous and discrete dynamics which admit fractals as points of trajectories as well as orbits themselves. To provide strong arguments for the genericity of chaos in the real and abstract universe, the concept of abstract similarity is suggested.
Download or read book Handbook of Research on Modeling Analysis and Control of Complex Systems written by Azar, Ahmad Taher and published by IGI Global. This book was released on 2020-12-05 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current literature on dynamic systems is quite comprehensive, and system theory’s mathematical jargon can remain quite complicated. Thus, there is a need for a compendium of accessible research that involves the broad range of fields that dynamic systems can cover, including engineering, life sciences, and the environment, and which can connect researchers in these fields. The Handbook of Research on Modeling, Analysis, and Control of Complex Systems is a comprehensive reference book that describes the recent developments in a wide range of areas including the modeling, analysis, and control of dynamic systems, as well as explores related applications. The book acts as a forum for researchers seeking to understand the latest theory findings and software problem experiments. Covering topics that include chaotic maps, predictive modeling, random bit generation, and software bug prediction, this book is ideal for professionals, academicians, researchers, and students in the fields of electrical engineering, computer science, control engineering, robotics, power systems, and biomedical engineering.
Download or read book Differential and Difference Equations with Applications written by Sandra Pinelas and published by Springer Nature. This book was released on 2020-10-21 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019. First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on applications. The book includes studies on boundary value problems; Markov models; time scales; non-linear difference equations; multi-scale modeling; and myriad applications.
Download or read book Chaos Theory in the Social Sciences written by L. Douglas Kiel and published by University of Michigan Press. This book was released on 2009-11-10 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos Theory in the Social Sciences: Foundations and Applications offers the most recent thinking in applying the chaos paradigm to the social sciences. The book explores the methodological techniques--and their difficulties--for determining whether chaotic processes may in fact exist in a particular instance and examines implications of chaos theory when applied specifically to political science, economics, and sociology. The contributors to the book show that no single technique can be used to diagnose and describe all chaotic processes and identify the strengths and limitations of a variety of approaches. The essays in this volume consider the application of chaos theory to such diverse phenomena as public opinion, the behavior of states in the international arena, the development of rational economic expectations, and long waves. Contributors include Brian J. L. Berry, Thad Brown, Kenyon B. DeGreene, Dimitrios Dendrinos, Euel Elliott, David Harvey, L. Ted Jaditz, Douglas Kiel, Heja Kim, Michael McBurnett, Michael Reed, Diana Richards, J. Barkley Rosser, Jr., and Alvin M. Saperstein. L. Douglas Kiel and Euel W. Elliott are both Associate Professors of Government, Politics, and Political Economy, University of Texas at Dallas.
Download or read book The Impact of Chaos on Science and Society written by Celso Grebogi and published by Brookings Institution Press. This book was released on 1997 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prompted by the growing body of knowledge about chaotic behavior in an increasing number of scientific disciplines, this volume brings together a distinguished group of experts to evaluate the impact that chaos has had on the conduct of science and on our understanding of society.
Download or read book Dynamics of Markets written by Joseph L. McCauley and published by Cambridge University Press. This book was released on 2004-05-06 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Text introducing a new empirically-based model of financial market dynamics.
Download or read book Recent Progress In Controlling Chaos written by Miguel A F Sanjuan and published by World Scientific. This book was released on 2010-01-13 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review volume consists an indispensable collection of research papers chronicling the recent progress in controlling chaos. Here, new theoretical ideas, as experimental implementations of controlling chaos, are included, while the applications contained in this volume can be referred to as turbulent magnetized plasmas, chaotic neural networks, modeling city traffic and models of interest in celestial mechanics.Recent Progress in Controlling Chaos provides an excellent broad overview of the subject matter, and will be especially useful for graduate students, researchers and scientists working in the areas of nonlinear dynamics, chaos and complex systems. The authors, world-renowned scientists and prominent experts in the field of controlling chaos, will offer readers through their research works, a fascinating insight into the state-of-the-art technology used in the progress in key techniques and concepts in the field of control.
Download or read book Chaos Theory in Economics written by W. Davis Dechert and published by . This book was released on 1996 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of essays which bring together three basic aspects of research into nonlinear dynamics and economics. The first papers deal with the theoretical methods used in analyzing chaotic dynamics and the statistical tools to detect the presence of non-linearities in economic data. The following articles discuss the models which are currently being used to stimulate nonlinear economic phenomena. The final papers apply these methods to a number of economic time series.
Download or read book Chaos written by James Gleick and published by Viking Adult. This book was released on 1987 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The story of a scientific revolution that is dramatically altering the way we perceive and understand the world--from how ordinary people look at the eddies of a stream to how analysts discuss economic cycles. 8-page full-color insert and 37 black-and-white illustrations.
Download or read book Select Topics in the PHYSICS OF THE ORIGIN OF LIFE written by V. Alexander Stefan and published by Stefan University Press. This book was released on 2002-12-05 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: the origin-of-life problem and the proteinoid theory molecular biology and the reconstruction of microbial phylogenies: des liaisons dangereuses? prebiotic chirality and life concentration and organization of precursors at inorganic interplayers and interfaces THE CHEMICAL ORIGINS OF LIFE AND MIND symmetry breaking and the origin of life THE WEAK FORCE AND SETH: THE SEARCH FOR EXTRA-TERRESTRIAL HOMOCHIRALITY COMMUNICATION BETWEEN ACTION AND REACTION UNDERLYING THE PHYSICAL ORIGIN OF LIFE randomness, determinism, and evolution
Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Download or read book At the Crossroads Lessons and Challenges in Computational Social Science written by Javier Borge-Holthoefer and published by Frontiers Media SA. This book was released on 2016-11-29 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interest of physicists in economic and social questions is not new: for over four decades, we have witnessed the emergence of what is called nowadays “sociophysics” and “econophysics”, vigorous and challenging areas within the wider “Interdisciplinary Physics”. With tools borrowed from Statistical Physics and Complexity, this new area of study have already made important contributions, which in turn have fostered the development of novel theoretical foundations in Social Science and Economics, via mathematical approaches, agent-based modelling and numerical simulations. From these foundations, Computational Social Science has grown to incorporate as well the empirical component --aided by the recent data deluge from the Web 2.0 and 3.0--, closing in this way the experiment-theory cycle in the best tradition of Physics.
Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1989 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Sciences of the Artificial reissue of the third edition with a new introduction by John Laird written by Herbert A. Simon and published by MIT Press. This book was released on 2019-08-13 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Herbert Simon's classic work on artificial intelligence in the expanded and updated third edition from 1996, with a new introduction by John E. Laird. Herbert Simon's classic and influential The Sciences of the Artificial declares definitively that there can be a science not only of natural phenomena but also of what is artificial. Exploring the commonalities of artificial systems, including economic systems, the business firm, artificial intelligence, complex engineering projects, and social plans, Simon argues that designed systems are a valid field of study, and he proposes a science of design. For this third edition, originally published in 1996, Simon added new material that takes into account advances in cognitive psychology and the science of design while confirming and extending the book's basic thesis: that a physical symbol system has the necessary and sufficient means for intelligent action. Simon won the Nobel Prize for Economics in 1978 for his research into the decision-making process within economic organizations and the Turing Award (considered by some the computer science equivalent to the Nobel) with Allen Newell in 1975 for contributions to artificial intelligence, the psychology of human cognition, and list processing. The Sciences of the Artificial distills the essence of Simon's thought accessibly and coherently. This reissue of the third edition makes a pioneering work available to a new audience.
Download or read book C Neural Networks and Fuzzy Logic written by Hayagriva V. Rao and published by . This book was released on 1996 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt:
