Differential equations, bifurcations, and chaos in economics /
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| Author / Creator: | Zhang, Wei-Bin, 1961- |
|---|---|
| Imprint: | Singapore ; Hackensack, N.J. : World Scientific, c2005. |
| Description: | xi, 489 p. : ill. ; 24 cm. |
| Language: | English |
| Series: | Series on advances in mathematics for applied sciences ; v. 68 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5922205 |
Table of Contents:
- 1. Differential equations in economics
- 2. Scalar linear differential equations
- 3. Scalar nonlinear differential equations
- 4. Economic dynamics with scalar differential equations
- 5. Planar linear differential equations
- 6. Planar nonlinear differential equations
- 7. Planar dynamical economical systems
- 8. Higher-dimensional differential equations
- 9. Higher-dimensional nonlinear differential equations
- 10. Higher-dimensional economic evolution
- 11. Epilogue : economic evolution with changeable speeds and structures
- App. 1. Matrix theory
- App. 2. Systems of linear equations
- App. 3. Properties of functions and the implicit function theorem
- App. 4. Taylor expansion and linearization
- App. 5. Structural stability
- App. 6. Optimal control theory.
