The course is on the theory of dynamical systems and its application to economic issues.
Content:
1. Mathematical preliminiaries
1.1 Sets and functions
1.2 Vector spaces
1.3 Eigenvalues and eigenspaces
2. Linear dynamical systems
2.1 Stability and complex roots
2.2 Application: Hick's multiplier-accelorator model
3. Nonlinear dynamical systems
3.1 The Grobman Hartman Theorem
3.2 Bifurcations
3.3 The logistic map
3.4 Application: The Diamond model with debt and wealth
4. Complex dynamics
4.1 Period-doubling and routes to chaos
4.2 Invariant measures
4.3 Affine maps with random perturbations
5. Numerical simulations with MACRODYN
Remark: The lecture will be held in english
Frequency | Weekday | Time | Format / Place | Period |
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Date | Time | Format / Room | Comment about examination |
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Show passed examination dates >>
Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
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Betriebswirtschaftslehre / Diplom | (Enrollment until SoSe 2005) | B3a; B5; WP09; WP15 | Wahl | 4 | HS | ||
Economic Behavior and Interaction Models / Promotion | |||||||
Economics and Management (BiGSEM) / Promotion | 4 | ||||||
Volkswirtschaftslehre / Diplom | (Enrollment until SoSe 2005) | V1A; V1B; V5; WP09; WP15 | Wahl | 4 | HS | ||
Wirtschaftswissenschaften / Bachelor | (Enrollment until SoSe 2005) | Nebenfach | Modul W3 | Wahl | 5. 6. | 4 | Wahlpflichtmodule: Wirtschaftstheorie HS |
Wirtschaftswissenschaften / Bachelor | (Enrollment until SoSe 2005) | Nebenfach | Modul W2; Modul W4; Modul W5; Modul W6; Modul W8 | Wahl | 5. 6. | 4 | Wahlpflichtmodule: Makroökonomik; Wirtschaftstheorie HS |