CmpE 557 Complex Systems - Common Material

Complex Systems in general

• Complex Systems: A Survey by Newman

Some topics

• Logistic Map
  • Basic Map Dynamics Exploration
• Minority game
  • wipedia
• Axelrod culture model
  • paper

  • Axelrod's model of dissemination of culture

• Sand pile
  • wikipedia

  • “Self-organized criticality: An explanation of the 1/f noise,” P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381–384 (1987).  doi: http://dx.doi.org/10.1103/PhysRevLett.59.381

• Celular Automata

  • Wolfram, S. "Statistical Mechanics of Cellular Automata." Rev. Mod. Phys. 55, 601-644, 1983. doi:10.1103/RevModPhys.55.601

  • Kari J. “Theory of cellular automata: A survey,” Theor. Comput. Sci., vol. 334, no. 1–3, pp. 3–33, 2005. doi:10.1016/j.tcs.2004.11.021

  • Stephen Wolfram: Computing a theory of everything a TED Talk

  • A catalog of Elementary Cellular Automaton

  • Rules of Wolfram

  • A New Kind of Science by Wolfram

  • A new Kind of Science @wikipedia

• Game of Life by Conway
  • Golly a cross platform similator
  • Golly @wikipedia

• Self Reproduction
  • Self reproducing automata by von Neuwmann
  • von Neumann documentary by Mathematical Association of America @youtube

• Complex Networks
  • economy (TED Talk)

• Opinion dynamics
  • "Opinion evolution in closed community"; Sznajd-Weron, K., Sznajd, J.; International Journal of Modern Physics C, 11 (6), pp. 1157-1165, (2000). doi: 10.1142/S0129183100000936

• Attention
  • Cetin, U., Bingol, H.O.
    Attention competition with advertisement
    (2014) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 90 (3), art. no. 032801.
    doi: 10.1103/PhysRevE.90.032801