Chaos Game Algorithm (Krzysztof Leśniak)

Software

  1. Chaos game simulation over a prescribed driver in Maxima CAS  [.wxm] by K. Leśniak & N. Snigireva, date 2020-06-03
  2. Chaos game simulation over a prescribed driver in Maxima CAS by K. Leśniak & N. Snigireva, date 2020-06-16, a copy of the Maxima script at Repozytorium UMK RUM@K

Papers

  1. 2022 - K. Leśniak, N. Snigireva, F. Strobin: Rate of convergence in the disjunctive chaos game algorithm. Chaos, vol. 32 (1), 013110-1-9, DOI: 10.1063/5.0076743
  2. 2021 - K. Leśniak, N. Snigireva: Iterated function systems enriched with symmetry. Constructive Approximation, DOI: 10.1007/s00365-021-09560-3
  3. 2020 - K. Leśniak, N. Snigireva, F. Strobin: Weakly contractive iterated function systems and beyond: a manual. Journal of Difference Equations and Applications, vol. 26 (8), 1114-1173, DOI: 10.1080/10236198.2020.1760258
  4. 2016 - M. Barnsley, K. Leśniak, M. Rypka: Chaos game for IFSs on topological spaces. Journal of Mathematical Analysis and Applications, vol. 435 (2), 1458-1466, DOI: 10.1016/J.JMAA.2015.11.022
  5. 2015 - K. Leśniak: Random iteration for infinite nonexpansive iterated function systems. Chaos, vol. 25 (8), 083117-1-5, DOI: 10.1063/1.4929387
  6. 2014 - K. Leśniak: Random iteration for non-expansive iterated function systems: derandomised algorithm. International Journal of Applied Nonlinear Science, vol. 1 (4), 360-363, DOI: 10.1504/IJANS.2014.068267
  7. 2014 - K. Leśniak: On discrete stochastic processes with disjunctive outcomes. Bulletin of the Australian Mathematical Society, vol. 90 (1), 149-159, DOI: 10.1017/S0004972714000124
  8. 2014 - M. Barnsley, K. Leśniak: The chaos game on a general iterated function system from a topological point of view. International Journal of Bifurcation and Chaos, vol. 24 (11), 1450139-1-10, DOI: 10.1142/S0218127414501399

Related stuff:

  1. Maxima CAS Sourceforge on fractals
  2. IFS-Maxima: generating Kronecker based fractals by Observatorio-de-Matematica at github
  3. IFS Construction Kit software by Larry Riddle and Riddle's gallery of fractals
  4. IFStile software for IFS fractals and fractal tiles

collaborators on the project Chaos Game Algorithm:   Michael F Barnsley, Miroslav Rypka, Nina Snigireva, Filip Strobin
Updates: 2024.02.29, 2022.08.12, 2021.03.16, 2020.06.03