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Finance

Systems · Continuous · Population dynamics

Dimension: 3

Equations

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

Parameters

parameter default
a 0.001
b 0.2
c 1.1

Finance attractor

Usage

import tsdynamics as ts

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

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