MackeyGlass

Systems · Delay · Delayed systems

Mackey-Glass (1977) delay differential equation.

Dimension: 1 · Reference: Mackey & Glass (1977), Science 197, 287-289

Equations

\[ \begin{aligned} \dot{x} &= \frac{\beta x{\left(t - \tau \right)}}{x^{n}{\left(t - \tau \right)} + 1.0} - \gamma x \end{aligned} \]

Parameters

parameter	default
beta	0.2
gamma	0.1
tau	17.0
n	10.0

Variables: x

Usage

import tsdynamics as ts

sys = ts.MackeyGlass()
traj = sys.integrate(final_time=100.0, dt=0.01)

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