Appendix A — Further implemented dynamical systems
Chen (Chen and Ueta 1999): \[ \begin{equation} \label{eq_8_Chen} \begin{aligned} \dot x &= a\, (y - x) \\ \dot y &= x \,(\beta - a) - xz + \beta y \\ \dot z &= x y -b z \end{aligned} \end{equation} \tag{A.1}\]
Lu (Lu and Chen 2002): \[ \begin{equation} \label{eq_9_Lu} \begin{aligned} \dot x &= a \, (y -x) \\ \dot y &= \beta y -x z \\ \dot z &= x y - b z \end{aligned} \end{equation} \tag{A.2}\]
Van der Pol (Devia Narvaez, Velez, and Devia Narvaez 2018): \[ \begin{equation} \label{eq_14_VDP} \begin{aligned} \dot x &= y \\ \dot y &= y \beta\,(1-x^2) -x \end{aligned} \end{equation} \tag{A.3}\]