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  • Nonlinearity, Chaos, and Complexity: The Dynamics of Natural and Social Systems

    Nonlinearity, Chaos, and Complexity by Bertuglia, Cristoforo Sergio; Vaio, Franco;

    The Dynamics of Natural and Social Systems

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    A termék adatai:

    • Kiadó OUP Oxford
    • Megjelenés dátuma 2005. május 12.

    • ISBN 9780198567912
    • Kötéstípus Puhakötés
    • Terjedelem404 oldal
    • Méret 233x157x21 mm
    • Súly 724 g
    • Nyelv angol
    • Illusztrációk numerous line drawings and mathematical examples
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    Kategóriák

    Rövid leírás:

    Covering a broad range of topics, this text provides a comprehensive survey of the modelling of chaotic dynamics and complexity in the natural and social sciences. Its attention to models in both the physical and social sciences and the detailed philosophical approach make this an unique text in the midst of many current books on chaos and complexity. Including an extensive index and bibliography along with numerous examples and simplified models, this is an ideal course text.

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    Hosszú leírás:

    Covering a broad range of topics, this text provides a comprehensive survey of the modelling of chaotic dynamics and complexity in the natural and social sciences. Its attention to models in both the physical and social sciences and the detailed philosophical approach make this an unique text in the midst of many current books on chaos and complexity.

    Part 1 deals with the mathematical model as an instrument of investigation. The general meaning of modelling and, more specifically, questions concerning linear modelling are discussed. Part 2 deals with the theme of chaos and the origin of chaotic dynamics. Part 3 deals with the theme of complexity: a property of the systems and of their models which is intermediate between stability and chaos.

    Including an extensive index and bibliography along with numerous examples and simplified models, this is an ideal course text.

    ...the book will certainly bring a lot of pleasure to the reader with philosophical inclinations

    Több

    Tartalomjegyzék:

    Contents
    Preface
    Part I: Linear and nonlinear processes
    Introduction
    Modelling
    The Origins of System Dynamics: Mechanics
    Linearity in Models
    One of The Most Basic Natural Systems: The Pendulum
    Linearity as a First, Often Insufficient Approximation
    The Nonlinearity of Natural Processes: The Case of The Pendulum
    Dynamical Systems and The Phase Space
    Extension of The Concepts and Models Used in Physics to Economics
    The Chaotic Pendulum
    Linear Models in Social Processes: The Case of Two Interacting Populations
    Nonlinear Models in Social Processes: The Model of Volterra-Lotka and Some of Its Variants in Ecology
    Nonlinear Models in Social Processes: The Volterra-Lotka Model Applied to Urban and Regional Science
    Part II: From nonlinearity to chaos
    Introduction
    Dynamical Systems and Chaos
    Strange and Chaotic Attractors
    Chaos in Real Systems and in Mathematical Models
    Stability in Dynamical Systems
    The Problem of Measuring Chaos in Real Systems
    Logistic Growth as A Population Development Model
    A Nonlinear Discrete Model: The Logistic Map
    The Logistic Map: Some Results of Numerical Simulations and An Application
    Chaos in Systems: The Main Concepts
    Part III: Complexity
    Introduction
    Inadequacy of Reductionism
    Some Aspects of The Classical Vision of Science
    From Determinism to Complexity: Self-Organisation, A New Understanding of System Dynamics
    What is Complexity?
    Complexity and Evolution
    Complexity in Economic Processes
    Some Thoughts on The Meaning of 'Doing Mathematics'
    Digression into The Main Interpretations of The Foundations of Mathematics
    The Need for A Mathematics of (or for) Complexity
    References
    Name Index
    Subject Index

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