Chaos and catastrophe theories /
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Thousand Oaks, Calif. :
Sage Publications,
©1995.
|
| Series: | Quantitative applications in the social sciences ;
no. 07-107. |
| Subjects: |
Table of 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.