This is part I of Theoretical Nonlinear Physics, which focuses on the derivation, analysis and discussion of dynamical systems. We consider theoretical descriptions of nonlinear phenomena related to self-organization in many areas of science. Mathematically, they correspond to finite-dimensional systems with purely temporal dynamics, i.e., maps and flows (ordinary differential equations).
In the subsequent Summer semester, part II of the lecture course focuses on pattern formation in spatially extended systems, i.e., we will consider mathematically infinite-dimensional systems with spatio-temporal dynamics.
Master students in their first year and interested Bachelor students in their final year. Besides students of Physics/Geophysics, everyone interested in the basics of nonlinear science, bifurcations, complexity and self-organisation.