Nonlinearity, Chaos, and Complexity: The Dynamics of Natural and Social Systems
Online ISBN:
9781383029772
Print ISBN:
9780198567905
Publisher:
Oxford University Press
Book
Nonlinearity, Chaos, and Complexity: The Dynamics of Natural and Social Systems
Published online:
31 October 2023
Published in print:
19 May 2005
Online ISBN:
9781383029772
Print ISBN:
9780198567905
Publisher:
Oxford University Press
Cite
Bertuglia, Cristoforo Sergio, and Franco Vaio, Nonlinearity, Chaos, and Complexity: The Dynamics of Natural and Social Systems (Oxford , 2005; online edn, Oxford Academic, 31 Oct. 2023), https://doi.org/10.1093/oso/9780198567905.001.0001, accessed 15 May 2025.
Abstract
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.
Contents
-
Front Matter
-
Chapter Part 1 Linear and Nonlinear Processes
Cristoforo Sergio Bertuglia andFranco Vaio- 1 Introduction
- 2 Modelling
- 3 The origins of system dynamics: mechanics
- 4 Linearity in models
- 5 One of the most basic natural systems: the pendulum
- 6 Linearity as a first, often insufficient approximation
- 7 The nonlinearity of natural processes: the case of the pendulum
- 8 Dynamical systems and the phase space
- 9 Extension of the concepts and models used in physics to economics
- 10 The chaotic pendulum
- 11 Linear models in social processes: the case of two interacting populations
- 12 Nonlinear models in social processes: the model of Volterra-Lotka and some of its variants in ecology
- 13 Nonlinear models in social processes: the Volterra-Lotka model applied to urban and regional science
-
Part 2 From Nonlinearity to Chaos
Cristoforo Sergio Bertuglia andFranco Vaio- 14 Introduction
- 15 Dynamical systems and chaos
- 16 Strange and chaotic attractors
- 17 Chaos in real systems and in mathematical models
- 18 Stability in dynamical systems
- 19 The problem of measuring chaos in real systems
- 20 Logistic growth as a population development model
- 21 A nonlinear discrete model: the logistic map
- 22 The logistic map: some results of numerical simulations and an application
- 23 Chaos in systems: the main concepts
-
Chapter Part 3 Complexity
Cristoforo Sergio Bertuglia andFranco Vaio- 24 Introduction
- 25 Inadequacy of reductionism
- 26 Some aspects of the classical vision of science
- 27 From determinism to complexity: selforganization, a new understanding of system dynamics
- 28 What is complexity?
- 29 Complexity and evolution
- 30 Complexity in economic processes
- 31 Some thoughts on the meaning of ‘doing mathematics’
- 32 Digression into the main interpretations of the foundations of mathematics
- 33 The need for a mathematics of (or for) complexity
© Oxford University Press 2005
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