Author Topic: idea of demo based on rosler attractor  (Read 548 times)

HSE

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Re: idea of demo based on rosler attractor
« Reply #15 on: January 15, 2018, 12:41:41 PM »
Just adding Siemanski's Smooth (for future development)  :biggrin:

@caballero:
Perhaps is other the ecuation!

caballero

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Re: idea of demo based on rosler attractor
« Reply #16 on: January 15, 2018, 07:33:54 PM »
The Rossler attractor equation (taken from wikipedia):

Quote
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]
dt = .05, A = -.2, B = .2, C = -5.7, x = -10, y = -1, z = -1
Code: [Select]
  x += ((-(y + z)) * dt);
  y += (y*A + x) * dt;
  z += ((x-C) * z + B) * dt;

Each value taken gives different path.
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daydreamer2

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Re: idea of demo based on rosler attractor
« Reply #17 on: January 15, 2018, 08:18:43 PM »
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

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Re: idea of demo based on rosler attractor
« Reply #18 on: January 16, 2018, 12:33:08 AM »
I see Thomas code. He make a perspective adding y and z axes. To see the Rossler attractor a 3D representation is needed.