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Homework Help: Rössler system

  1. Nov 26, 2011 #1
    The defining equations are:

    dx/dt = -(y + z)
    dy/dt = x + ay
    dz/dt = b + z(x - c)

    where a = b = 0.2 and 2.6 ≤ c ≤ 4.2.

    Is there an analytic way of showing that by changing the parameter c, we can get period-1 orbit, period-2 orbit, period-4 oribt, period-8 orbit, etc. and for c > 4.2 we get a chaotic attractor? I know you can construct a bifurcation diagram or use a projection onto the xy-plane and change c, but is there an analytic approach to this problem?
     
  2. jcsd
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