Rössler Attraktor
of the Rössler Attraktor (after Otto E. Rössler) is a strange Attraktor, which is defined by the following differential equation system:
<math> \ begin {matrix} \ DOT {X} &=& - (Y + Z) \ \ \ DOT {Y} &=& X+ A Y \ \ \ DOT {Z} &=& b+ X Z - C Z \ end {to matrix} </math>
The numeric solution (by means of the routine rkdumb, Runge Kutta - integration from “Numerical Recipes “) looks for parameter a=0.15, b=0.20, c=10.0, 10000 steps, dt=0.5, thus:
According to Otto Rössler this model by the view drop of a knetmaschine (taffy more puller) on Coney Iceland one inspired, which stretches and folds their Toffeemasse repeated.
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References
- O.E. Rössler, at Equation for Continuous chaos, Physics Letters of volume. 57A NO 5, pp 397-398, 1976.
- O.E. Rössler, at Equation for hyperchaos, Physics Letters Vol.71A NO 2.3, pp 155-157, 1979.
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