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

Name: Nonlinearity, Chaos, and Complexity The Dynamics of Natural and Social Systems
Price: 154.51 USD
Availability: InStock
ISBN: 9780198567905

ISBN-10: 0198567901

ISBN-13: 9780198567905

Edition: 2005

Authors: Cristoforo Sergio Bertuglia, Franco Vaio

List price: $270.00

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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

Book details

List price: $270.00
Copyright year: 2005
Publisher: Oxford University Press, Incorporated
Publication date: 8/4/2005
Binding: Hardcover
Pages: 408
Size: 6.14" wide x 9.21" long x 1.00" tall
Weight: 1.848
Language: English



Preface



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



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



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