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Chaos and catastrophe theories [electronic resource] / Courtney Brown.

By: Brown, Courtney, 1952-.
Material type: TextTextSeries: Quantitative applications in the social sciences: no. 07-107.Publisher: Thousand Oaks, Calif. : Sage Publications, c1995Description: 1 online resource (vi, 77 p.) : ill.ISBN: 0585212104 (electronic bk.); 9780585212104 (electronic bk.); 9781412983624 (ebook); 1412983622 (ebook).Subject(s): Chaotic behavior in systems | Catastrophes (Mathematics) | SOCIAL SCIENCE -- Methodology | Estatistica aplicada as ciencias sociais | Chaos | Catastrofetheorie (wiskunde) | Chaos | Catastrophes, Th�eorie des | Chaostheorie | Katastrophentheorie | Catastrophes, Th�eorie des | Chaos (th�eorie des syst�emes) | Differential equationsGenre/Form: Electronic books.Additional physical formats: Print version:: Chaos and catastrophe theories.DDC classification: 300/.1/1385 Other classification: 70.03 | 31.73 Online resources: EBSCOhost
Contents:
1. Working with deterministic mathematical models -- The argument in favor of the deterministic approach -- Part I: 2. What is chaos? -- Necessary conditions for chaos -- Characteristics of chaos -- 3. Measuring chaos -- Lyapunov characteristic exponents -- Fourier analysis -- Phase space reconstruction of an attractor using data -- The spatial correlation test -- 4. Estimating chaos models -- The problem of step size -- Comparing the model's predicted values to the data -- The future of chaotic studies in the social sciences -- An alternative approach for maps -- Part II: 5. What is a catastrophe? -- Placing the cusp in the range of the data -- 6. Strategies for specifying catastrophe models -- 7. Estimating catastrophe models.
Summary: What is chaos? How can it be measured? How are the models estimated? What is catastrophe? How is it modelled? How are the models estimated? These questions are the focus of this volume.
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Includes bibliographical references (p. 75-76).

Description based on print version record.

What is chaos? How can it be measured? How are the models estimated? What is catastrophe? How is it modelled? How are the models estimated? These questions are the focus of this volume.

1. Working with deterministic mathematical models -- The argument in favor of the deterministic approach -- Part I: 2. What is chaos? -- Necessary conditions for chaos -- Characteristics of chaos -- 3. Measuring chaos -- Lyapunov characteristic exponents -- Fourier analysis -- Phase space reconstruction of an attractor using data -- The spatial correlation test -- 4. Estimating chaos models -- The problem of step size -- Comparing the model's predicted values to the data -- The future of chaotic studies in the social sciences -- An alternative approach for maps -- Part II: 5. What is a catastrophe? -- Placing the cusp in the range of the data -- 6. Strategies for specifying catastrophe models -- 7. Estimating catastrophe models.

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Other editions of this work

Chaos and catastrophe theories by Brown, Courtney, ©1995
Chaos and catastrophe theories by Brown, Courtney, ©1995
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