FoldedTowel

Systems · Discrete · Chaotic maps

Dimension: 3 · Reference: Rössler (1979), Phys. Lett. A 71, 155-157

Equations

\[ \begin{aligned} y_{0}' &= a y_{0} \left(1 - y_{0}\right) - b \left(1 - 2 y_{2}\right) \left(c + y_{1}\right) \\ y_{1}' &= d \left(- e y_{0} + 1\right) \left(\left(c + y_{1}\right) \left(2 y_{2} + 1\right) - 1\right) \\ y_{2}' &= f y_{2} \left(1 - y_{2}\right) + g y_{1} \end{aligned} \]

Parameters

parameter	default
a	3.8
b	0.05
c	0.35
d	0.1
e	1.9
f	3.78
g	0.2

Usage

import tsdynamics as ts

sys = ts.FoldedTowel()
traj = sys.iterate(steps=10_000)

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