Applied Math for Creative Coders
  1. Working With Chaos
  • Math Models for Creative Coders
    • Maths Basics
      • Vectors
      • Matrix Algebra Whirlwind Tour
      • Things at Right Angles
      • content/courses/MathModelsDesign/Modules/05-Maths/70-MultiDimensionGeometry/index.qmd
    • Tech
      • Tools and Installation
      • Adding Libraries to p5.js
      • Using Constructor Objects in p5.js
      • The Open Sound Protocol
    • Geometry
      • Circles
      • Complex Numbers
      • Fractals
      • Affine Transformation Fractals
      • L-Systems
      • Kolams and Lusona
    • Media
      • Fourier Series
      • Additive Sound Synthesis
      • Making Noise Predictably
      • The Karplus-Strong Guitar Algorithm
    • AI
      • Working with Neural Nets
      • The Perceptron
      • The Multilayer Perceptron
      • MLPs and Backpropagation
      • Gradient Descent
    • Projects
      • Projects

On this page

  • References
    • Websites
    • Code References
    • Papers

Working With Chaos

References

Websites

  1. https://openprocessing.org

  2. https://timrodenbroeker.de/processing-or-p5/

Code References

  1. Animations, coding, interactives in this video by Jonny Hyman 🙌 Try the code yourself: https://github.com/jonnyhyman/Chaos

Papers

  1. May, R. Simple mathematical models with very complicated dynamics. Nature 261, 459–467 (1976). https://doi.org/10.1038/261459a0

  2. Robert Shaw, The Dripping Faucet as a Model Chaotic System https://archive.org/details/ShawRober…

  3. Crevier DW, Meister M. Synchronous period-doubling in flicker vision of salamander and man. J Neurophysiol. 1998 Apr;79(4):1869-78.

  4. Bing Jia, Huaguang Gu, Li Li, Xiaoyan Zhao. Dynamics of period-doubling bifurcation to chaos in the spontaneous neural firing patterns Cogn Neurodyn (2012) 6:89–106 DOI 10.1007/s11571-011-9184-7

  5. A Garfinkel, ML Spano, WL Ditto, JN Weiss. Controlling cardiac chaos Science 28 Aug 1992: Vol. 257, Issue 5074, pp. 1230-1235 DOI: 10.1126/science.1519060

  6. R. M. May, D. M. G. Wishart, J. Bray and R. L. Smith Chaos and the Dynamics of Biological Populations Source: Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 413, No. 1844, Dynamical Chaos (Sep. 8, 1987), pp. 27-44

  7. Chialvo, D., Gilmour Jr, R. & Jalife, J. Low dimensional chaos in cardiac tissue. Nature 343, 653–657 (1990). https://doi.org/10.1038/343653a0

  8. Xujun Ye, Kenshi Sakai. A new modified resource budget model for nonlinear dynamics in citrus production. Chaos, Solitons and Fractals 87 (2016) 51–60

  9. Libchaber, A. & Laroche, C. & Fauve, Stephan. (1982). Period doubling cascade in mercury, a quantitative measurement. http://dx.doi.org/10.1051/jphyslet:01…. 43. 10.1051/jphyslet:01982004307021100.

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