Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Differential Equations - Bifurcations

  1. Feb 11, 2008 #1

    Assume that K ans M are constans (where M is lower or Equal to N).
    Find the bifurcation value for N?

    I really didn't know where to start. Any help is appreciated
  2. jcsd
  3. Feb 11, 2008 #2
    A bifurcation value is the parameter value at which the stability of an equilibrium point changes.

    Step 1.) Find the equilibrium point(s) of the equation as a function of N. i.e., given a value of N, find S such that dS/dt = 0
  4. Feb 11, 2008 #3


    User Avatar
    Staff Emeritus
    Science Advisor

    It should be very easy to find the equilibrium points, one of which depends on the parameter N. "Bifurcation" happens essentially when one of the equilibrium points "runs into" another.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Differential Equations - Bifurcations
  1. Differential equation (Replies: 3)

  2. Differential equation (Replies: 2)

  3. Differential equation (Replies: 2)