47 Megastable System
47.1 System description
The governing equations of this chaotic system are
\[ \begin{eqnarray} \dot{x} &=& y\\ \dot{y} &=& ax+y\cos(x)+\sin(z) \dot{z} &=& b \end{eqnarray} \]
with \(a=-0.45,b=0.5\) and initial condition \((5,3,0)\).
Note
The simulation results for this system differ significantly from the trajectories reported in the book by Sprott (2023) for reasons that remain unclear. Consequently, this system has not been visualized.