A machine learning model trained on recurrence quantifiers of a standard map can detect resonances in other 2D systems, but its generalization to a 4D map requires matching embedding conditions and yields unclear peaks.
However, already in a system with 3 degrees of freedom, the Poincar´ e section becomes 4-dimensional and these simple methods are no longer applicable
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Combining Machine Learning with Recurrence Analysis for resonance detection
A machine learning model trained on recurrence quantifiers of a standard map can detect resonances in other 2D systems, but its generalization to a 4D map requires matching embedding conditions and yields unclear peaks.