2001/12/07 by R. Kobes, Kobes, R., H. Letkeman +1
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Mathematical Dynamics and Fractals #Theoretical and Computational Physics #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0112010
7 pages, 2 figures, uses revtex4
arxiv created 2001/12/07 · arxiv updated 2009/11/30
We 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.