CellularNeuralNetwork

Systems · Continuous · Exotic systems

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= - 0.5 b \left(- \left|{y_{1} - 1}\right| + \left|{y_{1} + 1}\right|\right) - 0.5 b \left(- \left|{y_{2} - 1}\right| + \left|{y_{2} + 1}\right|\right) + 0.5 d \left(- \left|{y_{0} - 1}\right| + \left|{y_{0} + 1}\right|\right) - y_{0} \\ \dot{y_{1}} &= - 0.5 a \left(- \left|{y_{2} - 1}\right| + \left|{y_{2} + 1}\right|\right) - 0.5 b \left(- \left|{y_{0} - 1}\right| + \left|{y_{0} + 1}\right|\right) + 0.5 c \left(- \left|{y_{1} - 1}\right| + \left|{y_{1} + 1}\right|\right) - y_{1} \\ \dot{y_{2}} &= 0.5 a \left(- \left|{y_{1} - 1}\right| + \left|{y_{1} + 1}\right|\right) - 0.5 b \left(- \left|{y_{0} - 1}\right| + \left|{y_{0} + 1}\right|\right) - y_{2} - 0.5 \left|{y_{2} - 1}\right| + 0.5 \left|{y_{2} + 1}\right| \end{aligned} \]

Parameters

parameter	default
a	4.4
b	3.21
c	1.1
d	1.24

Usage

import tsdynamics as ts

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

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