Buch, Englisch, 320 Seiten, Paperback, Format (B × H): 170 mm x 242 mm, Gewicht: 583 g
Buch, Englisch, 320 Seiten, Paperback, Format (B × H): 170 mm x 242 mm, Gewicht: 583 g
ISBN: 978-3-642-78326-5
Verlag: Springer
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
1. Economic Dynamics, Linearities, and the Classical Mechanistic Worldview.- 1.1. Some Reflections on the Origin of Economic Dynamics.- 1.2. The Deterministic Worldview and Deterministic Theories.- 1.3. The Dominance of Linear Dynamical Systems in Economics.- 2. Nonlinearities and Economic Dynamics.- 2.1. Preliminary Concepts.- 2.2. The Poincaré-Bendixson Theorem.- 2.3. The Uniqueness of Limit Cycles.- 2.4. Predator-Prey Models.- 2.5. Relaxation Oscillations.- 2.6. Irreversibility and Determinism in Dynamical Systems.- 3. Bifurcation Theory and Economic Dynamics.- 3.1. Preliminaries and Different Concepts of Structural Stability.- 3.2. Local Bifurcations in Continuous-Time Dynamical Systems.- 3.3. Local Bifurcations in Discrete-Time Dynamical Systems.- 4. Chaotic Dynamics in Discrete-Time Economic Models.- 4.1. Chaos in One-Dimensional, Discrete-Time Dynamical Systems.- 4.2. Chaos in Higher-Dimensional Discrete-Time Systems.- 4.3. Complex Transients in Discrete-Time Dynamical Systems.- 5. Chaotic Dynamics in Continuous-Time Economic Models.- 5.1. Basic Ideas.- 5.2. The Coupling of Oscillators.- 5.3. The Forced Oscillator.- 5.4. Homoclinic Orbits and Spiral-Type Attractors.- 6. Numerical Tools.- 6.1. Spectral Analysis.- 6.2. Dimension, Entropy, and Lyapunov Exponents.- 6.3. Are Economic Time Series Chaotic?.- 6.4. Predictability in the Face of Chaotic Dynamics.- 7. Catastrophe Theory and Economic Dynamics.- 7.1. Basic Ideas.- 7.2. The Kaldor Model in the Light of Catastrophe Theory.- 7.3. A Catastrophe-Theoretical Approach to Stagflation.- 8. Concluding Remarks.- A.1. Basic Properties of Linear Dynamical Systems.- A.2. Center Manifolds and the Reduction of (Effective) Dimensions.- A.3. A Brief Introduction to the Theory of Lags and Operators.- A.4. Numerical Simulationsand Chaotic Dynamics in Theoretical Economics.- References.- Name Index.