Results 1 to 2 of 2

Thread: hopf bifurcation

  1. #1
    Newbie
    Joined
    Jan 2009
    Posts
    9

    hopf bifurcation

    hey, i have two simple questions - my notes aren't what they should be.


    What is the definition of, and how do i test for a hopf bifurcation in system equations.


    And

    in permutations of 3d vectors, i know (12) corresponds to swapping x1 and x2 but what does (123) or (321) correspond to?


    Thankyou.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Rebesques's Avatar
    Joined
    Jul 2005
    From
    My house.
    Posts
    655
    Thanks
    41
    1) What is wiki for?



    2) (123) means x1 becomes x2, x2 becomes x3, x3 becomes x1 and similarly for (321). These algebraic objects are called - quite clearly - "permutations".
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Saddle Node Bifurcation
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: Jan 23rd 2011, 10:30 AM
  2. Bifurcation question
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: Feb 10th 2010, 08:35 AM
  3. Hopf fibration
    Posted in the Differential Geometry Forum
    Replies: 11
    Last Post: Oct 26th 2009, 07:20 PM
  4. Hopf Invariant (Differential Topology)
    Posted in the Advanced Math Topics Forum
    Replies: 1
    Last Post: Nov 19th 2008, 07:38 AM
  5. pitchfork bifurcation and sketching full bifurcation diagram
    Posted in the Advanced Applied Math Forum
    Replies: 3
    Last Post: Oct 15th 2008, 10:51 PM

Search Tags


/mathhelpforum @mathhelpforum