Recent Trends of Controlling Chaotic Resonance and Future Perspectives
Recent Trends of Controlling Chaotic Resonance and Future Perspectives
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DOI：
10.3389/fams.2021.760568
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发表时间：
2021-11
期刊：
影响因子：
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通讯作者：
S. Nobukawa;H. Nishimura;Nobuhiko Wagatsuma;Keiichiro Inagaki;Teruya Yamanishi;Tetsuya Takahashi
中科院分区：
文献类型：
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作者：
S. Nobukawa;H. Nishimura;Nobuhiko Wagatsuma;Keiichiro Inagaki;Teruya Yamanishi;Tetsuya Takahashi
随机共振是一种在具有特定屏障或阈值的非线性系统中，加性噪声的影响增强了信号对弱输入信号的响应的现象。近年来，针对随机共振的各种工程应用进行了研究。除了加性随机噪声外，确定性混沌还引起一种类似于随机共振的现象，称为混沌共振。混沌共振的信号响应在吸引子合并分岔附近达到最大，出现混沌-混沌不稳定性。已有的研究表明，混沌共振的灵敏度高于随机共振。然而，混沌共振的工程应用受到限制。这可能有两个原因。首先，诱发随机共振所需的随机噪声可以很容易地从随机共振系统外部控制。相反，在混沌共振中，必须通过调整系统内部参数来诱导吸引子合并分岔。在许多情况下，从系统外部实现这种调节是困难的，特别是在生物系统中。第二，由于噪声的影响，混沌共振退化，这在现实世界的系统中通常是不可避免的。在此，我们介绍了过去十年来关于混沌共振的研究结果，并总结了最近的研究结果和可能的方法，减少区域的轨道反馈方法来解决上述困难。
Stochastic resonance is a phenomenon in which the effects of additive noise strengthen the signal response against weak input signals in non-linear systems with a specific barrier or threshold. Recently, several studies on stochastic resonance have been conducted considering various engineering applications. In addition to additive stochastic noise, deterministic chaos causes a phenomenon similar to the stochastic resonance, which is known as chaotic resonance. The signal response of the chaotic resonance is maximized around the attractor-merging bifurcation for the emergence of chaos-chaos intermittency. Previous studies have shown that the sensitivity of chaotic resonance is higher than that of stochastic resonance. However, the engineering applications of chaotic resonance are limited. There are two possible reasons for this. First, the stochastic noise required to induce stochastic resonance can be easily controlled from outside of the stochastic resonance system. Conversely, in chaotic resonance, the attractor-merging bifurcation must be induced via the adjustment of internal system parameters. In many cases, achieving this adjustment from outside the system is difficult, particularly in biological systems. Second, chaotic resonance degrades owing to the influence of noise, which is generally inevitable in real-world systems. Herein, we introduce the findings of previous studies concerning chaotic resonance over the past decade and summarize the recent findings and conceivable approaches for the reduced region of orbit feedback method to address the aforementioned difficulties.