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How to find second solution of Algeb. Eq.

  1. May 23, 2012 #1
    Hello,

    I have a n dimensional nonlinear vectorfield (algebraic equation): f(x,t)=0 where x is a vector and t the time.
    For the time t=t0 there are two solutions:
    First solution: f(x1,t0)=0 with the initial point x01
    Second Solution: f(x2,t0)=0 with the initial point x02

    My Problem: I have x01, so I can get the solution vector x1 with a numerical solver. But the numerical solver only finds x1.
    But I need also the second solution x2!

    Question: How can I get the second vector x2? Or a good approximation of x2?

    Thanks!
     
    Last edited: May 23, 2012
  2. jcsd
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