Описание:The course is an introduction to the theory of stability and nonlinear dynamics of systems described by ordinary and partial differential equations. Topics include: equilibrium solutions and their stability, invariant manifolds, bifurcations, periodic orbits and their stability, Poincare maps, center manifolds, normal forms, chaos and its characterization. Applications to problems arising in physics, engineering, and biology.
http://web.kaust.edu.sa/faculty/aslankasimov/teaching-stability-theory.shtml