dwitter.net | #bifurcation

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u(t) is called 60 times per second. t: Elapsed time in seconds. S: Shorthand for Math.sin. C: Shorthand for Math.cos. T: Shorthand for Math.tan. R: Function that generates rgba-strings, usage ex.: R(255, 255, 255, 0.5) c: A 1920x1080 canvas. x: A 2D context for that canvas.
Theme challenge of the month: #glass
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  • Link of Symmetry #bifurcation (Period-halving bifurcations leading to order, followed by period doubling bifurcations leading to chaos)

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  • Feigenbaum Flower. Homage to Mitchell Feigenbaum (1944-2019). He demonstrated the universal character of dynamical non-linear systems, which has made possible the systematic study of chaos. In 1975, using the small HP-65 calculator, he discovered that the ratio of successive distances between bifurcation events tends to a constant δ ≈ 4.66920... This "ratio of convergence" of period-doubling bifurcations is now known as the first Feigenbaum constant. #bifurcation #attractor #fractal #chaos #math
  • u/taupelink
    This is a great tribute. RIP.
  • u/donbright
    really nice
  • u/artfarnaa
    Rodrigo - are you working full time on this fractal stuff? Super impressive if its only a hobby. Great work.

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  • Logistics map with some bifurcation, still trying to figure out how to make it look pretty tho

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  • Symmetric bifurcations. The symmetry trick is ...+(a&1?b:-b), this will sometimes add a value ("b") and sometimes subtract. #bifurcation

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