arxivmath.DScs.LGphysics.bio-ph2026-07-16
Ptolemy's Equant Equates to a Universal Dynamical Clock via Machine Learning
Jingdong Zhang, Luan Yang, Murilo S. Baptista, Zefeng Zhang, Qunxi Zhu, Wei Lin, et al.
Oscillatory dynamics arise ubiquitously in nonlinear systems, yet identifying a physically interpretable phase and phase dynamics in nonlinear, high-dimensional oscillations remains a central unresolved problem. Here we establish the principle of a universal dynamical clock, a ph…