In this paper, we introduce an interesting new megastable oscillator with infinite coexisting hidden and self-excited attractors (generated by stable fixed points and unstable ones), which are fixed points and limit cycles stable states. Additionally, by adding a temporally periodic forcing term, we design a new two-dimensional non-autonomous chaotic system with an infinite number of coexisting strange attractors, limit cycles, and torus. The computation of the Hamiltonian energy shows that it depends on all variables of the megastable system and, therefore, enough energy is critical to keep continuous oscillating behaviors. PSpice based simulations are conducted and henceforth validate the mathematical model.

中文翻译：

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具有超稳定性及其汉密尔顿能量的新型振荡器：无限同时存在的隐藏和自激吸引子

在本文中，我们介绍了一种有趣的新型兆稳态振荡器，它具有无限的并存的隐藏和自激吸引子（由稳定的固定点和不稳定的吸引子生成），它们是固定点，并且具有极限环的稳定状态。另外，通过添加一个时间周期强迫项，我们设计了一个新的二维非自治混沌系统，该系统具有无限数量的并存的奇怪吸引子，极限环和环面。哈密​​顿能量的计算表明，它取决于兆稳态系统的所有变量，因此，足够的能量对于保持连续的振荡行为至关重要。进行了基于PSpice的仿真，此后验证了数学模型。