論文

査読有り 最終著者
2021年11月30日

Recent Trends of Controlling Chaotic Resonance and Future Perspectives

Frontiers in Applied Mathematics and Statistics
  • Sou Nobukawa
  • ,
  • Haruhiko Nishimura
  • ,
  • Nobuhiko Wagatsuma
  • ,
  • Keiichiro Inagaki
  • ,
  • Teruya Yamanishi
  • ,
  • Tetsuya Takahashi

7
記述言語
掲載種別
研究論文(学術雑誌)
DOI
10.3389/fams.2021.760568
出版者・発行元
Frontiers Media SA

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.

リンク情報
DOI
https://doi.org/10.3389/fams.2021.760568
URL
https://www.frontiersin.org/articles/10.3389/fams.2021.760568/full
ID情報
  • DOI : 10.3389/fams.2021.760568
  • eISSN : 2297-4687

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