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Author: Dimitrios S. Dendrinos
Publisher: Springer Science & Business Media
ISBN: 1461209919
Category : Mathematics
Languages : en
Pages : 200
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Book Description
Presents a discrete in time-space universal map of relative dynamics that is used to unfold an extensive catalogue of dynamic events not previously discussed in mathematical or social science literature. With emphasis on the chaotic dynamics that may ensue, the book describes the evolution on the basis of temporal and locational advantages. It explains nonlinear discrete time dynamic maps primarily through numerical simulations. These very rich qualitative dynamics are linked to evolution processes in socio-spatial systems. Important features include: The analytical properties of the one-stock, two- and three-location map; the numerical results from the one- and two-stock, two- and three-location dynamics; and the demonstration of the map's potential applicability in the social sciences through simulating population dynamics of the U.S. Regions over a two-century period. In addition, this book includes new findings: the Hopf equivalent discrete time dynamics bifurcation; the Feigenbaum slope-sequences; the presence of strange local attractors and containers; switching of extreme states; the presence of different types of turbulence; local and global turbulence. Intended for researchers and advanced graduate students in applied mathematics and an interest in dynamics and chaos. Mathematical social scientists in many other fields will also find this book useful.
Author: Dimitrios S. Dendrinos
Publisher: Springer Science & Business Media
ISBN: 1461209919
Category : Mathematics
Languages : en
Pages : 200
Get Book Here
Book Description
Presents a discrete in time-space universal map of relative dynamics that is used to unfold an extensive catalogue of dynamic events not previously discussed in mathematical or social science literature. With emphasis on the chaotic dynamics that may ensue, the book describes the evolution on the basis of temporal and locational advantages. It explains nonlinear discrete time dynamic maps primarily through numerical simulations. These very rich qualitative dynamics are linked to evolution processes in socio-spatial systems. Important features include: The analytical properties of the one-stock, two- and three-location map; the numerical results from the one- and two-stock, two- and three-location dynamics; and the demonstration of the map's potential applicability in the social sciences through simulating population dynamics of the U.S. Regions over a two-century period. In addition, this book includes new findings: the Hopf equivalent discrete time dynamics bifurcation; the Feigenbaum slope-sequences; the presence of strange local attractors and containers; switching of extreme states; the presence of different types of turbulence; local and global turbulence. Intended for researchers and advanced graduate students in applied mathematics and an interest in dynamics and chaos. Mathematical social scientists in many other fields will also find this book useful.
Author: Dimitrios S. Dendrinos
Publisher:
ISBN: 9787506212809
Category : Population geography
Languages : en
Pages : 184
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Book Description
Author: Peter Nijkamp
Publisher: Springer Science & Business Media
ISBN: 3642784631
Category : Business & Economics
Languages : en
Pages : 291
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Book Description
Is our world more dynamic than it used to be in the past? Have phenomena in the social science field become unpredictable? Are chaotic events nowadays occurring more frequently than in the past? Such questions are often raised in popular debates on nonlinear evolution and self-organizing systems. At the same time, many scientists are also raising various intruiging methodological issues. Is it possible to separate deterministic chaos from random disturbances if their trajectories are (almost) similar? Is prediction still possible in a world of chaos (Poincare)? Is it possible to distinguish specification errors from measurement errors in a nonlinear dynamic model? Is evolution a random process? The list of such questions can easily be extended with dozens of others. But despite the myriad of questions on problems of nonlinear evolution, one common trait is evident: in both the natural and the social sciences we are still groping in the dark in areas which are par excellence promising hunting grounds for exploratory and exploratory research, viz. structural grounds in an uncertain nonlinear world. The present book aims at offering a collection of refreshing contributions to the above research issues by focusing attention, in particular on nonlinear dynamic evolution in space at the Netherlands Institute for Advanced Study (NIAS) in Wassenaar, the Netherlands. The Institute has to be thanked for its hospitality and support, reflected inter alia in a workshop at which several of the papers included in this book were discussed.
Author: Luigi Accardi
Publisher: World Scientific
ISBN: 9812793178
Category : Science
Languages : en
Pages : 469
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Book Description
The purpose of this volume is examine bio-informatics and quantum information, which are growing rapidly at present, and to attempt to connect the two, with a view to enumerating and solving the many fundamental problems they entail. To this end, we look for interdisciplinary bridges in mathematics, physics, and information and life sciences. In particular, research into a new paradigm for information science and life science on the basis of quantum theory is emphasized. Sample Chapter(s). Markov Fields on Graphs (599 KB). Contents: Markov Fields on Graphs (L Accardi & H Ohno); Some Aspects of Time Operators (A Arai); Time Optimal Quantum Control of Mixed States (A Carlini et al.); On a Quantum Model of the Recognition Process (K-H Fichtner et al.); Perspectives of White Noise Analysis (T Hida); Review on Quantum Chaos Algorithm and Generalized Quantum Turing Machine (S Iriyama & M Ohya); Cauchy Problems for Some Biological Systems OCo Modelling by Stochastic Differential Equations (A Jamiolkowski); On Non-Markovian Time Evolution in Open Quantum Systems (A Kossakowski & R Rebolledo); Adaptive Dynamics and Its Applications to Chaos and NPC Problem (M Ohya); Micro-Macro Duality and Emergence of Macroscopic Levels (I Ojima); Josephson Flux Qubit (H Takayanagi); Note on Quantum Mutual Entropy Type Measures (N Watanabe); Toward in Silico Biology (From Sequence to Systems) (I Yamato et al.); and other papers. Readership: Physicists, researchers in quantum information and bioinformatics.
Author: Alan Marshall
Publisher: World Scientific
ISBN: 1783261161
Category : Science
Languages : en
Pages : 289
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Book Description
The idea behind The Unity of Nature is a strong theoretical theme in a number of scientific and environmental fields from ecosystems ecology, through quantum physics to environmental philosophy and ecopolitics giving rise to an inspiring, optimistic, socially-responsive and environment-friendly worldview. The fields of science and environmentalism have inherited this theme of natural unity through an intellectual lineage that encompasses many non-scientific and non-environmental fields such as sociology, theology and political philosophy. Many of these fields have used natural unity in a way which is in stark opposition to the metaphysical and political desires of those who promulgate the unity of nature for progressive social change.This book discusses how this has transpired and examines the social and intellectual processes that have been at work. These include the social construction of the Organicism versus Mechanicism debate in ecology, the intellectual links between neo-classical economic principles and the ‘New Sciences’, the techno-scientific background of Gaia theory, and the social conservatism of ecological functionalism.
Author: J. Barkley Rosser
Publisher: Springer Science & Business Media
ISBN: 9401716137
Category : Business & Economics
Languages : en
Pages : 313
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Book Description
From Catastrophe to Chaos: A General Theory of Economic Discontinuities presents and unusual perspective on economics and economic analysis. Current economic theory largely depends upon assuming that the world is fundamentally continuous. However, an increasing amount of economic research has been done using approaches that allow for discontinuities such as catastrophe theory, chaos theory, synergetics, and fractal geometry. The spread of such approaches across a variety of disciplines of thought has constituted a virtual intellectual revolution in recent years. This book reviews the applications of these approaches in various subdisciplines of economics and draws upon past economic thinkers to develop an integrated view of economics as a whole from the perspective of inherent discontinuity.
Author: H. Sedaghat
Publisher: Springer Science & Business Media
ISBN: 9401704171
Category : Mathematics
Languages : en
Pages : 396
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Book Description
It is generally acknowledged that deterministic formulations of dy namical phenomena in the social sciences need to be treated differently from similar formulations in the natural sciences. Social science phe nomena typically defy precise measurements or data collection that are comparable in accuracy and detail to those in the natural sciences. Con sequently, a deterministic model is rarely expected to yield a precise description of the actual phenomenon being modelled. Nevertheless, as may be inferred from a study of the models discussed in this book, the qualitative analysis of deterministic models has an important role to play in understanding the fundamental mechanisms behind social sci ence phenomena. The reach of such analysis extends far beyond tech nical clarifications of classical theories that were generally expressed in imprecise literary prose. The inherent lack of precise knowledge in the social sciences is a fun damental trait that must be distinguished from "uncertainty. " For in stance, in mathematically modelling the stock market, uncertainty is a prime and indispensable component of a model. Indeed, in the stock market, the rules are specifically designed to make prediction impossible or at least very difficult. On the other hand, understanding concepts such as the "business cycle" involves economic and social mechanisms that are very different from the rules of the stock market. Here, far from seeking unpredictability, the intention of the modeller is a scientific one, i. e.
Author: L. Accardi
Publisher: World Scientific
ISBN: 9814273759
Category : Computers
Languages : en
Pages : 357
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Book Description
The purpose of this proceedings volume is to look for interdisciplinary bridges in mathematics, physics, information and life sciences, in particular, research for new paradigms for information and life sciences on the basis of quantum theory. The main areas in this volume are all related to one of the following subjects: (1) mathematical foundation of quantum mechanics, (2) quantum information, (3) quantum algorithm and computation, (4) quantum communication, (5) white noise analysis and quantum dynamics, (6) chaos dynamics and adaptive dynamics, (7) experimental studies of quantum computer, (8) bio-informatics and (9) genome analysis.
Author:
Publisher:
ISBN:
Category : Agriculture
Languages : en
Pages : 260
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Book Description
Author: Stephen J. Guastello
Publisher: Psychology Press
ISBN: 1134787782
Category : Psychology
Languages : en
Pages : 450
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Book Description
Whether talking about steering a wheelbarrow over rugged terrain or plotting the course of international relations, human performance systems involve change. Sometimes changes are subtle or evolutionary, sometimes they are catastrophic or revolutionary, and sometimes the changes are from periods of relative calm to periods of vibrant oscillations to periods of chaos. As a general rule, more complex systems are likely to produce more complex forms of change. Although social scientists have long acknowledged that change occurs and have considered ways to effect desirable change, the dynamical processes of change have been poorly understood in the past. This volume combines recent advances in mathematics and experimental design with the best available social science theories to produce a new, integrated, and compact theory of work, organizations, and social evolution. The domains of application extend from human decision-making processes to personnel selection and work motivation, work performance under conditions of stress, accident and health risk analysis, the development of social institutions and economic systems, creativity and innovation, organizational development and group dynamics, and political revolutions and war. Relative to other literature on nonlinear dynamical systems theory (NDS), this book is unique in that it integrates new developments in NDS with substantive psychological theory. It builds on many recent developments in organizational theory to show that nonlinear dynamics were often implicit in those works all along. The result is an entirely new way of viewing social events, understanding change processes, and asking questions about social systems. This book also contains much new empirical work and explains the newly developed methods for testing these new hypotheses.
