Till matematikens huvudsida | Tillbaka till kurssidorna ## Matematiska Institutionen## Kursernas Hemsidor
## 273027 Introduction to Dynamical Systems 2012 (5 sp)
The course treats fundamental notions in the theory of discrete-time dynamical systems, such as periodicity, attraction/repulsion, bifurcations, chaos and sensitive dependence on initial conditions ("the butterfly effect"). In the multidimensional case we give a survey of classical stability theory for linear systems.
Exercises:
- Friday, January 20 dyn1.pdf.
- Friday, January 27 dyn2.pdf.
- Friday, February 3 dyn3.pdf.
- Friday, February 10 dyn4.pdf.
- Friday, February 17 dyn5.pdf.
- Friday, February 24 dyn6.pdf.
- Friday, March 2 dyn7.pdf.
Teaching material from 2009 A picture of an Allee model Bifurcation diagrams for the logistic model: the interval (3, 3.2), the interval (3, 3.6) and the interval (3.8, 4) Bifurcation diagram for the Ricker model The behaviour of the deterministic Ricker model, fixed point 57 and fixed point 1900 Approximation formula for iterations of sin(x) Senast uppdaterad: 11.01.2012 |