FRACTAL CHARACTERIZATION OF EVOLVING TRAJECTORIES OF DUFFING OSCILLATOR

This study utilised fractal disk dimension characterization to investigate the time evolution of the Poincare sections of a harmonically excited Duffing oscillator. Multiple trajectories of the Duffing oscillator were solved simultaneously using Runge-Kutta constant step algorithms from set of randomly selected very close initial conditions for three different cases. These initial conditions were from a very small phase space that approximates geometrically a line. The attractor highest estimated fractal disk dimension was first recorded a