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1 Lorenz system

The following are animations of Lorenz system given by

\begin{align*} x' &= -a(x+y)\\ y' &= rx - y - x z\\ z' &= -b z + x y \end{align*}

More animations will be added later on.

1.1 Case 1. initial conditions \(x(0)=-2,y(0)=-1,z(0)=1\) and \(a=10,b=\frac {8}{3},r=28\)
1.2 Case 2. initial conditions \(x(0)=-2,y(0)=-1,z(0)=1\) and \(a=10,b=\frac {8}{3},r=15\)

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