Purpose and content：
This is a continuous course after the Ordinary Differential Equations with undergraduate level. In this course we study basic concepts and techniques of bifurcation theory for ordinary differential equations. These include some introduction with famous models, stability concepts and phase plane analysis, bifurcation of fixed points of vector fields: Saddle-Node Bifurcation、Transcritical Bifurcation、Pitchfork Bifurcation and Hopf Bifurcation.
Grading Policy： oral presentations, homework (the detail will be announced at the first class).

Preliminary course: Ordinary Differential Equations (undergraduate level).

Textbook:
(Please respect intellectual property, and do not illegally print textbooks)
(請尊重智慧財產權，不得非法影印教師指定之教科書籍)
(1) Main: Lawrence Perko, Differential Equations and Dynamical Systems (third ed.), Springer-Verlag (2001).
(2) Second: Wiggins, S.: Introduction to Applied Nonlinear Dynamical Systems and Chaos. Sprigner, New York (2000)
(3) Paper or other materials.