1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Bifucation diagram

  1. Feb 23, 2005 #1
    I have a qustion about bifucation diagrams in the book they use the DE: dy/dt= y*(a-y^2)
    the critical points for, a<0: dne a=0:y=0 and a>0: y=0,+-sqrt(a)
    then they ploted critical points as a function of a in the ay plane and the equation of the graph looks like a=y^2 and the graph looks like a normal x=y^2 graph except that everything below y=0 is dashed and everything above is solid line. Is this because above a=0 the DE is stable and below a=0 it is unstable? also if this is the case, would for other functions as well where you just plot the function of a and dash the parts of the graph that are unstable?

  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted