In 1979 Otto Rössler found the inspiration from a Taffy-Pulling machine to his Non-linear three-dimensional deterministic dynamical system. This system behaves much as the Lorenz attractor for specific values of the parameters and was found to follow the period-two doubling route to chaos like the Logistic map. The Rössler system having only one linearity appears like:

The Lorenz attractor is defined by a set of three coupled nonlinear differential equations:

Numerical integration shows that the system exhibits a strange attractor for a=b=0.2 and c=5.7.

References

• Steven H. Strogatz, Nonlinear Dynamics and Chaos, Perseus publishing 1994.
• O.E. Rössler, An Equation for Hyperchaos, Phys.let. Vol.71A no 2,3 1979.