I Critical points (equilibrium points) and stability
II Linear Syatems
III Almost linear systems
IV Stability of linear systems
V Nonlinear systems and linearity condition
VI Linearization and local stability
VII Energy method for stability
VIII Liapunov stability
IX Periodic and almost periodic solutions
X Bifurcation
References:
[1]Differential equations and boundary value problems
By: Nagel, Saff and Snider
[2] Differential equations, dynamical systems and an introduction to chaos
By: Smale and Devaney
[3] Nonlinear ordinary differential equations
By: Grimshaw
[4] Dynamics and bifurcation
By: Hale and Kocak
Course Portfolio