Center |
Student Information Service-Master |
Departament |
Theoretical Physics |
Lecturers in charge |
Sin datos cargados |
Met. Docent |
Theoretical questions and problems. A final exam in June. |
Met. Avaluació |
- - |
Bibliografia |
G.L. Baker, J.P. Gollub, Chaotic dynamics: an introduction. Cambridge 1996. D. Kaplan, P. Glass, Understanding nonlinear dynamics. Springer-Verlag 1995. H. Kantz, T. Shreiber, Nonlinear time series analysis, Cambridge 1997. |
Continguts |
THEORY PROGRAMME: 1. General view. History. 2. Dynamic systems: general concepts. Examples. 3. Linear systems. 4. Non-linear systems. Asymptotic behaviour: attractors. 5. Routes to chaos. 6. Quantitative characterization of chaotic components. 7. Physical examples: mechanics, circuits, acoustics. 8. From observation to models: non-linear analysis of time series. PRACTICAL PROGRAMME: Session-1: Introduction. Notions associated to non-linearity: Phenomenon of sensitivity to initial conditions, Poincaré section surfaces, power spectrum, fractal dimension, correlation function, attraction basins, bifurcations, Lyapunov exponents. Session-2: Practical work on Duffing, Van der Pol, Lorenz, and Hénon-Héiles systems, the properties of which are very well-known. Session-3: Session-4: |