具有相位对称性的时空同步的普适动力学

"Defective" Logic: Using spatiotemporal patterns in coupled relaxation oscillator arrays for computation

An intriguing interpretation of the time-evolution of dynamical systems is to view it as a computation that transforms an initial state to a final one. This paradigm has been explored in discrete systems such as cellular automata models, where the relation between dynamics and computation has been examined in detail. Here, motivated by microfluidic experiments on arrays of chemical oscillators, we show that computation can be achieved in continuous-state, continuous-time systems by using complex spatiotemporal patterns generated through a reaction-diffusion mechanism in coupled relaxation osci…

Lateral inhibition provides a unifying framework for spatiotemporal pattern formation in media comprising relaxation oscillators

The collective dynamics seen in a wide variety of chemical, biological and ecological systems involve interactions between relaxation oscillators that typically involve fast activation process coupled with a slower inactivation. In this paper, we show that systems of such oscillators having distinct kinetics governing local dynamical behavior and whose interactions are described by different connection topologies, can exhibit strikingly similar spatiotemporal patterns when diffusively coupled via their inactivation component. We explain the apparent universality of this global behavior by show…

具有类 Kuramoto 局部耦合的非线性振子：复杂性分析与时空模式生成

Non-linear oscillators with Kuramoto-like local coupling: Complexity analysis and spatiotemporal pattern generation

本文分析具有局部类 Kuramoto 耦合的可激发 Adler 型振子环，识别复杂时空区域，并用熵、信息距离和层级结构证明其具备混沌边缘计算潜力。

利用涌现组织的通用表征无监督发现极端天气事件

Unsupervised Discovery of Extreme Weather Events Using Universal Representations of Emergent Organization

提出基于局部因果状态和时空光锥的物理信息无监督学习框架，用于自动发现二维湍流涡旋及飓风、大气河流等极端天气相干结构。

网络中扰动传播的拓扑决定因素

Topological Determinants of Perturbation Spreading in Networks

本研究针对网络中扰动传播的时空模式机制不明的问题，提出解析拓扑因子与数值估计普适标度主函数的新方法，可揭示扩散耦合网络传播的普适特征，准确预测扰动到达时间，适用于多类网络系统并可用于评估扰动风险。