基于双权重反馈策略恢复耦合系统的振荡动力学
Recovery of Oscillatory Dynamics of Coupled Systems Based on Double Weight Feedback Strategy
摘要: 本文在平均场反馈的基础上建立了双权重反馈，分别以系统振子频率相同和频率不同的情况为例，通过稳定性分析和数值模拟，发现在大多数系统中当两个权重同时为0或1时效果最好，这意味着在实际中，我们只需寻找最易得到信息的振子，将其作为反馈加到该振子上，就能简单便捷的恢复不同死亡状态下的系统振荡。而实际模型中，最易得到信息的振子一般也是最易添加反馈的振子，这将有效提高本策略的实际应用性。
Abstract: In this paper, based on the mean-field feedback, we establish a double-weighted feedback, taking the case of system oscillators with the same frequency and different frequencies respectively, and through stability analysis and numerical simulation, we find that the best effect in most systems when the two weights are 0 or 1 at the same time, which means that in practice, we only need to find the oscillator with the most easily available information and add it as feedback to that oscillator, and we can simply and conveniently recover oscillations of the system in different death states. In the actual model, the oscillator that is easiest to get information is generally also the oscillator that is easiest to add feedback to, which will effectively improve the practical applicability of this strate-gy.
文章引用：史东鑫, 李兴瑞, 单美华. 基于双权重反馈策略恢复耦合系统的振荡动力学[J]. 应用数学进展, 2023, 12(4): 1940-1950. https://doi.org/10.12677/AAM.2023.124199

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