Basins of Attraction and Perturbed Numerical Solutions using Euler's Method

Hendrik Orem
2008 SIAM Undergraduate Research Online  
Small uncertainties in a dynamical system due to imperfect measurements or variations in the environment can dramatically impact the long term behavior of a trajectory. This phenomenon is studied in a population competition model by introducing a random error term into a numerical solver and investigating the effect on the behavior of solutions. Two methods for analyzing the impact of a random term are demonstrated.
doi:10.1137/08s010116 fatcat:o6pwr5wg75czbfalftnhciglui