idea of demo based on rosler attractor

[HSE]

Just adding Siemanski's Smooth (for future development) 

@caballero:
Perhaps is other the ecuation!

[avcaballero]

The Rossler attractor equation (taken from wikipedia):

dx/dt = -y-z
dy/dt = x + Ay
dz/dt = B + z(x - C)

Rossler studied that with A = .2, B = .2, C = 5.7. Though since them the most common parameters studied are A = .1, B = .1, C = 14. I have checked this values too.

My code:

Code Select Expand

dt = .05, A = -.2, B = .2, C = -5.7, x = -10, y = -1, z = -1

Code Select Expand


  x += ((-(y + z)) * dt);
  y += (y*A + x) * dt;
  z += ((x-C) * z + B) * dt;


Each value taken gives different path.

[daydreamer]

Regarding to Rossler attractor, I have been trying to make one similar to this, without much success. I got something interesting too, but not what I was looking for. If anyone has some spare time and want to dedicate to it, it is supposed that changing the values of the global variables (initial parameters) we can get different scenarios.

Take a look at ron thomas code,how he changes some starting values so it becomes periodically,that way you get the above shape

[HSE]

I see Thomas code. He make a perspective adding y and z axes. To see the Rossler attractor a 3D representation is needed. 

[daydreamer]

would be nice to learn to get the right scaling and zoom in and out with mousewheel, but I got a working clipping, but its hard to see if its a correct rosler curve
also get it right, so I can add some trackball control so you can rotate it

1024x768 version with lot fewer particles

[avcaballero]

I see Thomas code. He make a perspective adding y and z axes. To see the Rossler attractor a 3D representation is needed.

?????

@daydreamer2
Your sample crashes in my system

[avcaballero]

Maybe best viewed here

[HSE]

Maybe best viewed here

Fantastic  :t

[daydreamer]

Maybe best viewed here

Very nice view :t
I am experimenting with fewer particles in 1680x1050 with x/z and y/z view
Unfortunatly is ddraw a dead end, but i get a tunnel effect

[daydreamer]

maybe would be useful when making solar flare

[avcaballero]

There is an interesting attractor called Aizawa. A nice video of a demo with it. Maybe someone dares with it  :t

[daydreamer]

There is an interesting attractor called Aizawa. A nice video of a demo with it. Maybe someone dares with it  :t

Nice demo
Thanks caballero  :t

[Siekmanski]

https://www.youtube.com/watch?v=RBqbQUu-p00
https://www.youtube.com/watch?v=KOqrMS06YBA

Interesting lecture video Chaotic Attractors
https://www.youtube.com/watch?v=xZgL2XD4TcA

[HSE]

I have to study how to sort points because in this simple way I'm drawing hidden points over visible points  :(

[daydreamer]

https://www.youtube.com/watch?v=RBqbQUu-p00
https://www.youtube.com/watch?v=KOqrMS06YBA

Interesting lecture video Chaotic Attractors
https://www.youtube.com/watch?v=xZgL2XD4TcA

Very interesting, the shape reminds me of old game: septera core