Lab #2 Instructions
2/5/2016
Goals for this lab:
Understand what a bifurcation diagram is
Generate different types of bifurcation diagrams
Instructions: You will not turn this sheet in. Use the Lab-2-report.tex file on Moodle to
write a lab report.
Opti

Lab 1: Slope Fields and Eulers Method
Math 4512
Date Performed:
Name(s):
Instructor:
1
February 1, 2016
Student Name(s)
Dr. Maultsby
Objective
This section should be brief and hit on the following topics:
Summarize the goal of the lab.
Explain what a sl

Transcritical Bifurcation
2
1. Sketch the bifurcation diagram for f ( x) x x . (Just sketch the fixed points.)
2. Prove the following theorem: Let f (x) be C 2 and f o (0) 0. Assume
for all .
a.
f ( 0) 0
b.
f ' o (0) 1.
c.
f ' ' o (0) 0.
d.
f ' (0)
0.
o