Strange attractor is an important component of chaos theory , For the ultimate state of evolution , Has the following characteristics : Ultimate 、 stability 、 Attractiveness . Attractor is a mathematical concept , Describe the convergence type of motion . It refers to such a collection , When time goes to infinity , All trajectories of the unsteady flow starting on any bounded set tend to it , Such a set has a very complicated geometry . Because strange attractors are inseparable from chaos , In depth understanding of the properties of attractor sets , It can reveal the law of chaos .
      Here we'll show you the art images generated by strange attractors . Strange attractors usually contain three-dimensional or four-dimensional data , And the image is two-dimensional , So strange attractors can be projected into two-dimensional images from different potential planes .

The original drawing and mathematical formula are from :

http://chaoticatmospheres.com/125670/1204030/gallery/strange-attractors

Here, the script code with its own defined syntax is used to generate chaotic images , For related software, see :YChaos Generating chaotic images . If you're interested in mathematically generating graphics , Welcome to join QQ Communication group : 367752815.

Script code :

[ScriptLines]
x=i
y=j
z=k
w=h
u=a*(y-x)+y*z*w
v=b*(x+y)-x*z*w
p=-c*z+x*y*w
q=-d*w+x*y*z
i=i+u*t
j=j+v*t
k=k+p*t
h=h+q*t
x=i
y=j [Variables]
a=3.000000
b=1.000000
c=1.000000
d=10.000000
h=1.000000
i=-0.100000
j=0.100000
k=0.100000
t=0.001000

Chaotic images :

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