課程概述 |
I.Contents:
Methods of Applied Mathematics (II) will be centered around singularity theory, which serves as a tool for analyzing bifurcation phenomena encountered in the study of dynamical systems. Topics will include Lyapunov-Schmidt reduction, transversality, and unfolding.As prerequisite, students must have basic knowledge about Calculus, Linear Algebra, Ordinary Differential Equations, and computer programming.
II.Course prerequisite:
III.Reference material ( textbook(s) ):
Courseware will be adapted to fit one-semester’s lecture from the following books:
1.M . Golubitsky & D.G.. Schaeffer, Singularities and Groups in Bifurcation Theory.
2.W.J.F. Govaerts, Numerical Methods for Bifurcations of Dynamical Equilibria.
IV.Grading scheme:
attendance 30%, mid-exam 30%, final 40% |