On Raw Coding of Chaotic Dynamics

关于由遍历混沌逻辑斯蒂映射驱动的线性自适应滤波器的性能研究

On the Performance of Linear Adaptive Filters driven by the Ergodic Chaotic Logistic Map

本文证明了逻辑斯蒂映射在参数 λ=4 时生成的零均值序列不相关，并据此分析了 FIR 数字自适应滤波器的性能，推导出 LMS 方案中阻尼参数的最优值，从而为信道估计提供最大性能且保证稳定性的理论依据。

相对论性双中心问题中的散射动力学与混沌运动

Scattering Dynamics and Chaotic Motions in a Relativistic Two-Centre Problem

研究固定能量下平面相对论性双中心问题，利用时间重参数化结合莫培督泛函的变分方法，构造无碰撞相对论轨迹并编码动力学，证明了有界轨道、特定散射解及捕获轨迹的存在。

Chaos and reliability in balanced spiking networks with temporal drive

Biological information processing is often carried out by complex networks of interconnected dynamical units. A basic question about such networks is that of reliability: if the same signal is presented many times with the network in different initial states, will the system entrain to the signal in a repeatable way? Reliability is of particular interest in neuroscience, where large, complex networks of excitatory and inhibitory cells are ubiquitous. These networks are known to autonomously produce strongly chaotic dynamics - an obvious threat to reliability. Here, we show that such chaos pers…