What is the difference between a contour plot and a bifurcation plot?

JonDrew
Messages
64
Reaction score
0
On Wolfram Alpha it will offend give you a contour plot, and it has similarities to a bifurcation plot with respect to a variable and a parameter.

What is the difference between a contour plot and a bifurcation diagram?
 
Physics news on Phys.org
I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
 
I'm not familiar with Wolfram Alpha but the two plots are very different things. The contour plot is a set of level curves of constant function value, like a topographical map. A bifurcation diagram plots the location of fixed points in the independent variable as a function of some parameter in the equation.
 
Thread 'Direction Fields and Isoclines'
I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
Back
Top