Numerical solution of Rössler attractor using power series method

Abstract

Rössler attractor, topologically most simple chaotic attractor, involves three simultaneous equations, out of which one is non-linear. It has its behaviour largely dependent on the three constant parameters - a, b and c. To obtain its numerical solution a twofold approach was adopted. Its solution by power series was matched with that obtained by x-cos block methodology. To generate the three-dimensional output Scilab simulations freeware was practiced. Constants’ determination was made for the set(s) of a, b and c, where the aperiodic nature was threshold.