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Nonlinear systems have oscillatory dynamics, but finding a meaningful phase is a problem. This work uses machine learning to establish a universal dynamical clock. It's unclear how this holds up in real systems.
“arXiv:2607.15472v1 Announce Type: cross Abstract: Oscillatory dynamics arise ubiquitously in nonlinear systems, yet identifying a physically interpretable phase and phase dynamics in nonlinear, high-dimensional oscillations remains a centra…”
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Ptolemy's Equant, arXiv
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Aug 5, 2026