Recently, megastable systems have grabbed many researchers’ interests in the area of nonlinear dynamics and chaotic systems. In this paper, the oscillatory terms’ coefficients of the simplest megastable oscillator are forced to blink in time. The forced system can generate an infinitive number of hidden attractors without changing parameters. The behavior of these hidden attractors can be chaotic, tori, and limit cycle. The attractors’ topology of the system seems unique and looks like picture frames. Besides, the existence of different coexisting attractors with different kinds of behaviors reflects the system's high sensitivity. Using the sample entropy algorithm, the system’s complexity for different initial values is assessed. In addition, the circuit of the introduced forced system is designed, and the possibility of implicating the system with analog elements is investigated.

中文翻译：

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具有闪烁振荡项的新型兆稳态混沌振荡器

最近，巨稳定系统在非线性动力学和混沌系统领域引起了许多研究者的兴趣。在本文中，最简单的兆稳态振荡器的振荡项系数被迫随时间闪烁。强制系统可以在不更改参数的情况下生成无限数量的隐藏吸引子。这些隐藏的吸引子的行为可能是混乱的，花托和极限循环。系统的吸引子拓扑看起来很独特，看起来像相框。此外，具有不同行为的不同共存吸引子的存在反映了系统的高度敏感性。使用样本熵算法，可以评估系统针对不同初始值的复杂性。另外，设计了引入的强制系统的电路，并研究了将系统与模拟元件联系起来的可能性。