In the last two years, many chaotic or hyperchaotic systems with megastability have been reported in the literature. The reported systems with megastability are mostly developed from their dynamic equations without any reference to the physical systems. In this paper, the dynamics of a single-link manipulator is considered to observe the existence of interesting dynamical behaviors. When the considered dynamical system is excited with (a) periodically forced input or (b) quasi-periodically forced input, it indicates the existence of megastability. This paper reports megastability in a physical dynamical system with infinitely many equilibria. The considered system has other dynamical behaviors like chaotic, quasi-periodic and periodic. These behaviors are analyzed using Lyapunov spectrum, bifurcation diagram and phase plots. The simulation results reveal that the objectives of the paper are achieved successfully.

中文翻译：

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周期性和准周期性激发的单连杆机械臂中存在超稳定性和无限多平衡

在过去的两年中，文献中报道了许多具有超稳定性的混沌或超混沌系统。报告的具有超稳定性的系统大多是从它们的动态方程发展而来的，没有任何物理系统的参考。在本文中，考虑单连杆机械臂的动力学来观察有趣的动力学行为的存在。当所考虑的动力系统被（a）周期性强迫输入或（b）准周期性强迫输入激发时，它表明存在超稳定性。本文报告了具有无限多平衡的物理动力系统中的超稳定性。所考虑的系统具有其他动力学行为，如混沌、准周期性和周期性。使用 Lyapunov 谱、分岔图和相位图分析这些行为。