A true three-scroll chaotic attractor coined

<p style='text-indent:20px;'>Based on the method of compression and pull forming mechanism (CAP), authors in a well-known paper proposed analyzed Lü-like system: <inline-formula><tex-math id="M1">\begin{document}$ \dot{x} = a(y - x) + dxz $\end{document}</tex-math></inline-formula>, id="M2">\begin{document}$ \dot{y} xz fy id="M3">\begin{document}$ \dot{z} -ex^{2} xy cz which was thought to display an interesting three-scroll chaotic attractors (called as Pan-A attractor) when id="M4">\begin{document}$ (a, d, f, e, c) (40, 0.5, 20, 0.65, \frac{5}{6}) $\end{document}</tex-math></inline-formula>. Unfortunately, by further analysis Matlab simulation, we show that attractor found is actually stable torus. Accordingly, find new true coexisting with single saddle-node id="M5">\begin{document}$ (0, 0, 0) $\end{document}</tex-math></inline-formula> for case id="M6">\begin{document}$ (168, 0.4, 100, 0.70, 11) Interestingly, singularly degenerate heteroclinic cycles system bidirectional, rather than unilateral most other Lorenz-like systems. This motivates us revisit detail its complicated dynamical behaviors, i.e., ultimate bound sets, globally exponentially attractive Hopf bifurcation, limit so on. Numerical simulations not only are consistent results theoretical analysis, but also illustrate collapse infinitely many explosions normally hyperbolic nodes or foci generate aforementioned attractor. In particular, four two unstable one attractor, saddle id="M7">\begin{document}$ E_{0} id="M8">\begin{document}$ E_{\pm} located sets. These together indicate this deserves exploration chaos-based applications.</p>