math.DS · 2026-07-20 · No. 59

Dynamical Systems, 2026-07-20.

1 new papers in math.DS. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    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, Celso Grebogi

    math.DS · cs.LG · physics.bio-ph

    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 physical perspective in which oscillations of arbitrary dimensionality and geometry are equivalently represented as uniform rotation through an equant-induced nonlinear...

    arxiv.org/abs/2607.15472 · PDF

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