Overview
Description
Local bifurcations of vector fields, bifurcations of maps, global bifurcations and chaos, Milnikov’s method, chaotic attractors, applied chaos.
Units
Lecture3
Learning Outcomes
- demonstrate an advanced level of competency in center manifold and normal forms theorie, applications of normal forms theory to analysis of local bifurcations in multidimensional systems, normal forms and bifurcations in periodic systems.
- demonstrate knowledge of theory and applications of Lorenz’s and Rossler’s systems, chaotic attractors, Lyapunov’s exponents, Eegodicity concept.
- demonstrate an advanced level of competency in nonlinear maps and their bifurcations, normal form theory for nonlinear maps, chaotic dynamics of maps.