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LuChenCheng

Systems · Continuous · Coupled systems

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= - \frac{a b y_{0}}{a + b} + c - y_{1} y_{2} \\ \dot{y_{1}} &= a y_{1} + y_{0} y_{2} \\ \dot{y_{2}} &= b y_{2} + y_{0} y_{1} \end{aligned} \]

Parameters

parameter default
a -10
b -4
c 18.1

LuChenCheng attractor

Usage

import tsdynamics as ts

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

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