Langford Strange Chaotic Attractor With Nonstandard Parameters by Kristalista

Last crawled date: 3 years, 5 months ago

The Langford strange chaotic attractor is defined by three differential equations:
x’ = (z − b)x − dy
y’ = dx + (z − b)y
z’ = c + az − (z^3)/3 − (x^2 + y^2)(1 + ez) + fzx^3
With parameters:
a = 0.95
b = 0.7
c = 0.6
d = 3.5
e =0.25
f = 0.1
And initial conditions:
x0 = 0.1
y0 = 1
z0 = 0
This chaotic attractor is instead designed with parameters:
a = 0.99
b = 0.81
c = 0.71
d = 4.55
e = 0.55
f = 0.25
And with initial conditions:
x0 = .1
y0 = .25
z0 = 20