Bifurcations: Example 1

Example: Consider the autonomous equation

with parameter a.

1.

Draw the bifurcation diagram for this differential equation.

2.

Find the bifurcation values and describe how the behavior of the solutions changes close to each bifurcation value.

Solution.

[Differential Equations] [Slope Fields] [Geometry] [Algebra] [Trigonometry ] [Calculus] [Complex Variables] [Matrix Algebra]

S.O.S. MATHematics home page

Last Update 6-23-98

Copyright © 1999-2004 MathMedics, LLC. All rights reserved.
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA