Math in motion - Strange Attractors - Chaos theory

Come to see a showcase of dynamical systems from chaos theory, intended for any audience. They're similar to the Lorenz Attractor, coded in C and assembly with shotcut (the free video editor).
Entrez dans l'univers étrange des attracteurs chaotiques. Les maths s'allient aux arts pour un divertissement calme.
Music: Lonely Troutman II - by William Rosati.
• Will Rosati - Lonely T...
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Montage : VAV
Picture : N- VAIV
Seq ID: HH707-MATH-01

[@nrsentropy_art]

Thanks for watching, leave a like and share with your friends.

[@benjiculteur]

Bonjour sa correspond à quoid tout le petit point au début de la vidéo ?

[@nrsentropy_art]

Salut , ce petit point représente le point de départ de l'animation.On utilise la formule à droite pour calculer sa nouvelle position.Il y a 50 000 points au total pour une image.

[@funccoding]

Great video! I'm going deeply into this topic and still don't understand how people make it move like in 0:45. Initially, you apply the quadratic function to x0 and y0 `num_particles` times to produce the original particles, as in the previous steps. But the problem to me is that these original particles are "far away" to each other, so then how the resulted motion runs so smoothly? Do you use a time variable? If it's ok, can I have a look at the code?

[@nrsentropy_art]

Thanks for your comment.
In fact here we use a trick, there are 2 quadratic fonctions, and we just interpolate between the 2 set of params.Mouvement is just an illusion.
In the second vidéo it's différent.