Rössler Attractor

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  The Rössler Attractor when the parameters are set to: a=0.2, b=0.2 and c=5.7.

• GIF

  The Rössler Attractor animation when the parameters are set to: a=0.2, b=0.2 and c=5.7

Inspiration

Our growing interest in Chaos Theory. Chaos describes certain nonlinear dynamical systems that have a very sensitive dependence on initial conditions.

What is the Rössler Attractor?

The Rössler attractor is the attractor for the Rössler system, a system of three non-linear ordinary differential equations originally studied by the German biochemist Otto Eberhard Rössler:

with particular values of parameters a = 0.2, b = 0.2 and c = 5.7.

The three-dimensional Rössler system was originally conceived as a simple model for studying chaos. With only one nonlinear term it can be thought of as a simplification of the well-known Lorenz system and as a minimal model for continuous-time chaos.

What it does

This program provides a simulation of a Rössler system with the same parameters that Rössler studied with and the following initial conditions: (X_1, Y_1, Z_1) = (0.1, 0., 0.1) and (X_2, Y_2, Z_2) = (0.1001, 0., 0.1001). To solve the ODEs we used Euler Method:

Built With

• python