Recent Trends of Controlling Chaotic Resonance and Future Perspectives

Author:

Nobukawa Sou,Nishimura Haruhiko,Wagatsuma Nobuhiko,Inagaki Keiichiro,Yamanishi Teruya,Takahashi Tetsuya

Abstract

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.

Publisher

Frontiers Media SA

Subject

Applied Mathematics,Statistics and Probability

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Emergence of chaotic resonance controlled by extremely weak feedback signals in neural systems;Frontiers in Applied Mathematics and Statistics;2024-08-08

2. Controlling Chaotic Resonance with Extremely Local-Specific Feedback Signals;IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences;2024-08-01

3. Extremely Weak Feedback Method for Controlling Chaotic Resonance;2023 IEEE International Conference on Systems, Man, and Cybernetics (SMC);2023-10-01

4. Influence of Additive and Contaminant Noise on Control-Feedback Induced Chaotic Resonance in Excitatory-Inhibitory Neural Systems;IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences;2023-01-01

5. Additive Noise-Induced System Evolution (ANISE);Frontiers in Applied Mathematics and Statistics;2022-04-08

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