The defining equations are:(adsbygoogle = window.adsbygoogle || []).push({});

dx/dt= -(y+z)

dy/dt=x+ay

dz/dt=b+z(x-c)

wherea=b= 0.2 and 2.6 ≤c≤ 4.2.

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

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# Homework Help: Rössler system

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