Logistic Differential Equation

1
Logistic Differential Equation
K
K
2
Dynamics of Two Dimensional Systems

1. Find the fixed points in the phase space!
2. Linearize the system about the fixed points!
3. Determine the eigenvalues of the Jacobian.

3
What is a bifurcation?
4
Saddle Node Bifurcation (1-dim)
Prototypical example
5
Transcritical Bifurcatoin

• Prototypical example

6
Pitchfork Bifurcation
Prototypical example
7
(No Transcript)