After completing the course the student should be able to
analyse complex dynamical systems showing a chaotic behavior,
describe applications related to the course contents from different scientific disciplines.
Simple examples of dynamical systems from Physics, Chemistry and biology. Orbits, fixed and periodical points. Hamiltonian and dissipative systems. Aspects of nonlinearity. Bifurcation and transition to chaos. Chaos, Liapunov exponent, attractors and critical orbits. Newtons method. Fractals, Julia Set and Mandelbrot set. Several applications will be presented. The course is intended not only to students in physics but also to students in technology, biology and economy.
Lectures and lessons
Written examination at the end of the course. Hand-in exercises.