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Tinkerbell

Systems · Discrete · Chaotic maps

Tinkerbell map.

Dimension: 2 · Reference: Nusse & Yorke (1994), Dynamics: Numerical Explorations

Equations

\[ \begin{aligned} x' &= a x + b y + x^{2} - y^{2} \\ y' &= c x + d y + 2 x y \end{aligned} \]

Parameters

parameter default
a 0.9
b -0.6013
c 2.0
d 0.5

Variables: x, y

Tinkerbell attractor

Usage

import tsdynamics as ts

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

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