Rössler-attractor


The Rössler-attractor (named after Otto E. Rössler) is a strange attractor described by the following differential equations: X & # x02D9; = & # x2212; ( Y + FROM ) Y & # x02D9; = X + a Y FROM & # x02D9; = b + ( X & # x2212; c ) FROM {\displaystyle {\begin{aligned}{\dot {X}}&=-(Y+Z)\\{\dot {Y}}&=X+aY\\{\dot {Z}}&=b+(X-c)Z\end{aligned}}}

The numerical solution (using the Runge-Cut method) looks like the parameters a = 0.15, b = 0.20, c = 10, 10.000 steps, dt = 0.5: Trivia

According to Rössler himself, he put the inspiration for drawing this model by looking at the movements of a coney kneading machine.

wiki