Deterministic Chaos
Deterministic Chaos

Author: Heinz Georg Schuster

Publisher: John Wiley & Sons

Published: 2006-03-06

Total Pages: 312

ISBN-13: 3527606416

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A new edition of this well-established monograph, this volume provides a comprehensive overview over the still fascinating field of chaos research. The authors include recent developments such as systems with restricted degrees of freedom but put also a strong emphasis on the mathematical foundations. Partly illustrated in color, this fourth edition features new sections from applied nonlinear science, like control of chaos, synchronisation of nonlinear systems, and turbulence, as well as recent theoretical concepts like strange nonchaotic attractors, on-off intermittency and spatio-temporal chaotic motion.

Deterministic Chaos in General Relativity
Deterministic Chaos in General Relativity

Author: David Hobill

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 472

ISBN-13: 1475799934

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Nonlinear dynamical systems play an important role in a number of disciplines. The physical, biological, economic and even sociological worlds are comprised of com plex nonlinear systems that cannot be broken down into the behavior of their con stituents and then reassembled to form the whole. The lack of a superposition principle in such systems has challenged researchers to use a variety of analytic and numerical methods in attempts to understand the interesting nonlinear interactions that occur in the World around us. General relativity is a nonlinear dynamical theory par excellence. Only recently has the nonlinear evolution of the gravitational field described by the theory been tackled through the use of methods used in other disciplines to study the importance of time dependent nonlinearities. The complexity of the equations of general relativity has been (and still remains) a major hurdle in the formulation of concrete mathematical concepts. In the past the imposition of a high degree of symmetry has allowed the construction of exact solutions to the Einstein equations. However, most of those solutions are nonphysical and of those that do have a physical significance, many are often highly idealized or time independent.

Decision Theory and Choices: a Complexity Approach
Decision Theory and Choices: a Complexity Approach

Author: Marisa Faggini

Publisher: Springer Science & Business Media

Published: 2010-12-28

Total Pages: 252

ISBN-13: 8847017785

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In economics agents are assumed to choose on the basis of rational calculations aimed at the maximization of their pleasure or profit. Formally, agents are said to manifest transitive and consistent preferences in attempting to maximize their utility in the presence of several constraints. They operate according to the choice imperative: given a set of alternatives, choose the best. This imperative works well in a static and simplistic framework, but it may fail or vary when 'the best' is changing continuously. This approach has been questioned by a descriptive approach that springing from the complexity theory tries to give a scientific basis to the way in which individuals really choose, showing that those models of human nature is routinely falsified by experiments since people are neither selfish nor rational. Thus inductive rules of thumb are usually implemented in order to make decisions in the presence of incomplete and heterogeneous information sets.

Physics and Theoretical Computer Science
Physics and Theoretical Computer Science

Author: Jean-Pierre Gazeau

Publisher: IOS Press

Published: 2007

Total Pages: 349

ISBN-13: 1586037064

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Aims to reinforce the interface between physical sciences, theoretical computer science, and discrete mathematics. This book assembles theoretical physicists and specialists of theoretical informatics and discrete mathematics in order to learn about developments in cryptography, algorithmics, and more.

Processes of Emergence of Systems and Systemic Properties
Processes of Emergence of Systems and Systemic Properties

Author: Gianfranco Minati

Publisher: World Scientific

Published: 2009

Total Pages: 839

ISBN-13: 981279347X

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This book contains the Proceedings of the 2007 Conference of the Italian Systems Society. Papers deal with the interdisciplinary study of processes of emergence, considering theoretical aspects and applications from physics, cognitive science, biology, artificial intelligence, economics, architecture, philosophy, music and social systems. Such an interdisciplinary study implies the need to model and distinguish, in different disciplinary contexts, the establishment of structures, systems and systemic properties. Systems, as modeled by the observer, not only possess properties, but are also able to make emergent new properties. While current disciplinary models of emergence are based on theories of phase transitions, bifurcations, dissipative structures, multiple systems and organization, the present volume focuses on both generalizing those disciplinary models and identifying correspondences and new more general approaches. The general conceptual framework of the book relates to the attempt to build a general theory of emergence as a general theory of change, corresponding to Von Bertalanffy''s project for a general system theory.

Environmental Modelling and Prediction
Environmental Modelling and Prediction

Author: Gongbing Peng

Publisher: Springer Science & Business Media

Published: 2001-11-06

Total Pages: 500

ISBN-13: 9783540674221

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In this book the authors consider the natural environment as an integrated system. The physical, chemical and biological processes that govern the behaviour of the environmental system can thus be understood through mathematical modelling, and their evolution can be studied by means of numerical simulation. The book contains a summary of various efficient approaches in atmospheric prediction, such as numerical weather prediction and statistical forecast of climate change, as well as other successful methods in land surface modelling. The authors explore new theories and methods in environment prediction such as systems analysis and information theory. Attention is given to new achievements in remote sensing tele-metering and geographic information systems.

Economic Complexity and Equilibrium Illusion
Economic Complexity and Equilibrium Illusion

Author: Ping Chen

Publisher: Routledge

Published: 2010-04-05

Total Pages: 585

ISBN-13: 1136994874

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The Principle of Large Numbers indicates that macro fluctuations have weak microfoundations; persistent business cycles and interrupted technologies can be better characterized by macro vitality and meso foundations. Economic growth is limited by market extent and ecological constraints. The trade-off between stability and complexity is the foundation of cultural diversity and mixed economies. The new science of complexity sheds light on the sources of economic instability and complexity. This book consists of the major work of Professor Ping Chen, a pioneer in studying economic chaos and economic complexity. They are selected from works completed since 1987, including original research on the evolutionary dynamics of the division of labour, empirical and theoretical studies of economic chaos and stochastic models of collective behavior. Offering a new perspective on market instability and the changing world order, the basic pillars in equilibrium economics are challenged by solid evidence of economic complexity and time asymmetry, including Friedman’s theory of exogenous money and efficient market, the Frisch model of noise-driven cycles, the Lucas model of microfoundations and rational expectations, the Black-Scholes model of option pricing, and the Coase theory of transaction costs. Throughout, a general theory based on complex evolutionary economics is developed, which integrates different insights from Marx, Marshall, Schumpeter, Keynes and offers a new understanding of the evolutionary history of division of labour. This book will be of interest to postgraduates and researchers in Economics, including macroeconomics, financial economics, advanced econometrics and economic methodology.

Dynamic Process Methodology in the Social and Developmental Sciences
Dynamic Process Methodology in the Social and Developmental Sciences

Author: Jaan Valsiner

Publisher: Springer Science & Business Media

Published: 2009-07-09

Total Pages: 688

ISBN-13: 038795922X

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All psychological processes—like biological and social ones—are dynamic. Phenomena of nature, society, and the human psyche are context bound, constantly changing, and variable. This feature of reality is often not recognized in the social sciences where we operate with averaged data and with homogeneous stereotypes, and consider our consistency to be the cornerstone of rational being. Yet we are all inconsistent in our actions within a day, or from, one day to the next, and much of such inconsistency is of positive value for our survival and development. Our inconsistent behaviors and thoughts may appear chaotic, yet there is generality within this highly variable dynamic. The task of scientific methodologies—qualitative and quantitative—is to find out what that generality is. It is the aim of this handbook to bring into one framework various directions of construction of methodology of the dynamic processes that exist in the social sciences at the beginning of the 21st century. This handbook is set up to bring together pertinent methodological scholarship from all over the world, and equally from the quantitative and qualitative orientations to methodology. In addition to consolidating the pertinent knowledge base for the purposes of its further growth, this book serves the major educational role of bringing practitioners—students, researchers, and professionals interested in applications—the state of the art know-how about how to think about extracting evidence from single cases, and about the formal mathematical-statistical tools to use for these purposes.

Limnoecology
Limnoecology

Author: Winfried Lampert

Publisher: Oxford University Press, USA

Published: 2007-07-26

Total Pages: 335

ISBN-13: 0199213925

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This new edition will build upon the strengths of the earlier work but will be thoroughly revised throughout to incorporate findings from new technologies and methods (notably the rapid development of molecular genetic methods and stable isotope techniques) that have allowed a rapid and ongoing development of the field.