DDEs

Systems / DDEs

Feedback with a finite memory. Supply the delays and a history function; TSDynamics integrates by the method of steps with dense interpolation of the past.

\[ \dot{x}(t) = f\big(x(t),\, x(t-\tau)\big) \]

6 systems · 1 subcategories

Define one

import numpy as np
import tsdynamics as ts

# A delay system carries its own delay τ; supply a past history:
sys = ts.systems.MackeyGlass()
traj = sys.integrate(
    final_time=500.0, dt=0.5,
    history=lambda s: [1.0 + 0.1 * np.sin(0.2 * s)],
)

Subcategories

Subcategory	Systems	Dim	Examples
Delayed systems	6	1	MackeyGlass, IkedaDelay, PiecewiseCircuit …