## dwitter.net | #bifurcation

+ New dweet
`function u(t) {`
```} // 122/140 ```

Please log in (or register) to post a dweet (copy-paste the code somewhere safe to save it meanwhile)

``` 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. ```
Try the new frontend: beta.dwitter.net
Current theme challenge: #ScaryMovies
show FPS hide FPS share

`function u(t) {`

```}// 140/140 ```

Please log in (or register) to post as a new dweet (copy-paste code somewhere safe to save it meanwhile).

• 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

`function u(t) {`

```}// 139/140 ```

Please log in (or register) to post as a new dweet (copy-paste code somewhere safe to save it meanwhile).

`function u(t) {`

```}// 137/140 ```

Please log in (or register) to post as a new dweet (copy-paste code somewhere safe to save it meanwhile).

show FPS hide FPS share

`function u(t) {`

```}// 135/140 ```

Please log in (or register) to post as a new dweet (copy-paste code somewhere safe to save it meanwhile).

show FPS hide FPS share

`function u(t) {`

```}// 139/140 ```

Please log in (or register) to post as a new dweet (copy-paste code somewhere safe to save it meanwhile).

• Neon #bifurcation "A bifurcation occurs when a small smooth change made to the parameter values (the bifurcation parameters) of a system causes a sudden qualitative or topological change in its behavior." (from the Bifurcation Theory)

`function u(t) {`

```}// 139/140 ```

Please log in (or register) to post as a new dweet (copy-paste code somewhere safe to save it meanwhile).

show FPS hide FPS share
remix of d/12434 by u/katkip

`function u(t) {`

```}// 94/140 ```

Please log in (or register) to post as a new dweet (copy-paste code somewhere safe to save it meanwhile).

`function u(t) {`

```}// 74/140 ```

Please log in (or register) to post as a new dweet (copy-paste code somewhere safe to save it meanwhile).

remix of d/12001 by u/thorbear

`function u(t) {`

```}// 103/140 ```

Please log in (or register) to post as a new dweet (copy-paste code somewhere safe to save it meanwhile).

• Bifurcation diagram attractor of the logistic map. xₙ₊₁ = r * xₙ(1-xₙ). Bifurcation diagrams enable the visualization of bifurcation theory. #fractal

`function u(t) {`
```}// 133/140 ```