2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80129We consider two non-linear generalizations of fractal interpolating functions generated from iterated function systems. The first corresponds to fitting data using a Kth-order polynomial, while the second relates to the freedom of adding certain arbitrary functions. An escape-time algorithm that can be used for such systems to generate fractal images like those associated with Julia or Mandelbrot sets is also described.7 pages, 2 figures, uses revtex4Chaotic Dynamicstext