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Math Help - hopf bifurcation

  1. #1
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    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.
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  2. #2
    Super Member Rebesques's Avatar
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    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".
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