Cristoforo Sergio Bertuglia, Franco Vaio

Nonlinearity, Chaos, and Complexity

The Dynamics of Natural and Social Systems

• Gebundenes Buch

Produktbeschreibung

Covering a broad range of topics, this text provides a comprehensive survey of the modeling 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 a 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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Produktdetails

• Verlag: Hurst & Co.
• Seitenzahl: 408
• Erscheinungstermin: 4. August 2005
• Englisch
• Abmessung: 234mm x 156mm x 24mm
• Gewicht: 739g
• ISBN-13: 9780198567905
• ISBN-10: 0198567901
• Artikelnr.: 21671896

Inhaltsangabe

* Contents
* Preface
* Part I: Linear and nonlinear processes
* 1.1: Introduction
* 1.2: Modelling
* 1.3: The Origins of System Dynamics: Mechanics
* 1.4: Linearity in Models
* 1.5: One of The Most Basic Natural Systems: The Pendulum
* 1.6: Linearity as a First, Often Insufficient Approximation
* 1.7: The Nonlinearity of Natural Processes: The Case of The Pendulum
* 1.8: Dynamical Systems and The Phase Space
* 1.9: Extension of The Concepts and Models Used in Physics to
Economics
* 1.10: The Chaotic Pendulum
* 1.11: Linear Models in Social Processes: The Case of Two Interacting
Populations
* 1.12: Nonlinear Models in Social Processes: The Model of
Volterra-Lotka and Some of Its Variants in Ecology
* 1.13: Nonlinear Models in Social Processes: The Volterra-Lotka Model
Applied to Urban and Regional Science
* Part II: From nonlinearity to chaos
* 2.1: Introduction
* 2.2: Dynamical Systems and Chaos
* 2.3: Strange and Chaotic Attractors
* 2.4: Chaos in Real Systems and in Mathematical Models
* 2.5: Stability in Dynamical Systems
* 2.6: The Problem of Measuring Chaos in Real Systems
* 2.7: Logistic Growth as A Population Development Model
* 2.8: A Nonlinear Discrete Model: The Logistic Map
* 2.9: The Logistic Map: Some Results of Numerical Simulations and An
Application
* 2.10: Chaos in Systems: The Main Concepts
* Part III: Complexity
* 3.1: Introduction
* 3.2: Inadequacy of Reductionism
* 3.3: Some Aspects of The Classical Vision of Science
* 3.4: From Determinism to Complexity: Self-Organisation, A New
Understanding of System Dynamics
* 3.5: What is Complexity?
* 3.6: Complexity and Evolution
* 3.7: Complexity in Economic Processes
* 3.8: Some Thoughts on The Meaning of 'Doing Mathematics'
* 3.9: Digression into The Main Interpretations of The Foundations of
Mathematics
* 3.10: The Need for A Mathematics of (or for) Complexity
* References
* Name Index
* Subject Index