NuclearQuadrupole

Systems · Continuous · Exotic systems

Dimension: 4

Equations

\[ \begin{aligned} \dot{y_{0}} &= a y_{2} \\ \dot{y_{1}} &= a y_{3} \\ \dot{y_{2}} &= - a y_{0} + \frac{3 \sqrt{2} b y_{0}^{2}}{2} - \frac{3 \sqrt{2} b y_{1}^{2}}{2} - d y_{0}^{3} - d y_{0} y_{1}^{2} \\ \dot{y_{3}} &= - a y_{1} - 3 \sqrt{2} b y_{0} y_{1} - d y_{0}^{2} y_{1} - d y_{1}^{3} \end{aligned} \]

Parameters

parameter	default
a	1.0
b	0.55
d	0.4

Usage

import tsdynamics as ts

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

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