超高频激励下非对称双稳态系统中的多重随机共振和反随机共振

Cong Wang, Zhongqiu Wang, Jianhua Yang, Miguel A. F. Sanjuán, Gong Tao, Zhen Shan, Mengen Shen
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引用次数: 0

摘要

超高频线性频率调制(UHF-LFM)信号作为一种典型的非稳态信号,具有传输距离远、抗干扰能力强、带宽宽等优点,已被广泛应用于微波雷达等领域。利用最优动力学响应在强背景噪声下的弱特征识别中具有独特的优势。我们在参数时变的非对称双稳态系统中提出了一种新的随机共振方法,以处理这种特殊的非稳态信号。有趣的是,在超高频-低频调频信号激励下,非线性响应表现出多随机共振(MSR)和反随机共振(ISR),部分共振区可能会因系统不对称的影响而偏离或塌陷。此外,我们还详细分析了各共振区的响应以及各共振区的机理和演化规律。最后,我们通过优化时间尺度,在参数范围内极大地扩展了共振区,验证了所提出的时变尺度方法的有效性。MSR 和 ISR 的机理和演化规律将为相关领域的研究人员提供参考。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Multiple stochastic resonances and inverse stochastic resonances in asymmetric bistable system under the ultra-high frequency excitation
Ultra-high frequency linear frequency modulation (UHF-LFM) signal, as a kind of typical non-stationary signal, has been widely used in microwave radar and other fields, with advantages such as long transmission distance, strong anti-interference ability, and wide bandwidth. Utilizing optimal dynamics response has unique advantages in weak feature identification under strong background noise. We propose a new stochastic resonance method in an asymmetric bistable system with the time-varying parameter to handle this special non-stationary signal. Interestingly, the nonlinear response exhibits multiple stochastic resonances (MSR) and inverse stochastic resonances (ISR) under UHF-LFM signal excitation, and some resonance regions may deviate or collapse due to the influence of system asymmetry. In addition, we analyze the responses of each resonance region and the mechanism and evolution law of each resonance region in detail. Finally, we significantly expand the resonance region within the parameter range by optimizing the time scale, which verifies the effectiveness of the proposed time-varying scale method. The mechanism and evolution law of MSR and ISR will provide references for researchers in related fields.
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