四次系统的谱分类：基本时钟、宇称和连续统
Spectral taxonomy for quartic systems: fundamental clock, parity, and continuum
- Naresuan University（纳瑞宣大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究对称四次势系统，构建谱分类法，发现其区域有通用谱结构，应用于贾尼别科夫效应揭示谱剖析，将无扭矩翻滚转变为频域设计机会，提供新频率感知框架，还讨论了相关案例及谱支柱的保留情况。
AI中文摘要：
对称四次势是一种在物理中有广泛应用的主题，从宽带能量收集器、分子和早期宇宙中的量子隧穿到无扭矩航天器旋转。近两个世纪以来，其丰富动力学被分类为不同区域并表示为不连续时域解。本文为这类运动构建分类法，发现其区域呈现通用谱结构：共享基本时钟、遵循宇称选择并通过离散到连续的转变融入分界线。应用于著名的贾尼别科夫效应时，该分类法揭示其谱剖析。三个主轴旋转共享共同时钟但占据不同宇称通道，稳定轴分支在分界线两侧交换直流偏置。这将无扭矩翻滚从纯时域危机转变为频域设计机会。通过给出精确谱解及其分类法，提供了一个新的频率感知框架来表征、设计和控制物理系统。还讨论了一个案例研究，其中时钟、宇称和连续统这三个谱支柱在从实时到虚时运动学的维克旋转中得以保留。这些持久特征也引发一种可能性，即通用谱结构涵盖一整类主要物理主题——保守一维动力学中可能的规范行为。
英文摘要：
A symmetric quartic potential is a physics model with expansive applications, ranging from broadband energy harvesters, quantum tunneling in molecules and the early universe, to torque-free spacecraft rotation. Its rich dynamics have been traditionally classified into regimes and expressed as disjointed time-domain solutions. Here we build a taxonomy for this broad class of motions and discover that their regimes exhibit a symmetrical spectral structure: they share a fundamental clock, obey parity selection, and dissolve into the separatrix through a discrete-to-continuum transition. Applied to the famous Dzhanibekov effect where a rotating body periodically undergoes rapid 180-degree flips in its attitude, the taxonomy reveals its spectral anatomy. The three principal-axis rotations share a common clock while occupying distinct parity channels, with stable-axis branches exchanging DC bias across the separatrix. We discuss a case study where the three spectral pillars: clock, parity, and continuum, survive the Wick rotation from real-time into imaginary-time kinematics.
