I have drawn the same meaningful motion pattern since childhood, connected to a vivid experience I remember having as a child. Recently, I showed the drawings to several AI systems and asked them to describe or translate them mathematically. The responses were inconsistent, some sessions failed, and one system suggested the drawings resembled phase-space sketches. I then received a long report about dynamical systems, including state vectors, matrices, eigenvalues, attractors, noise, feedback, symbolic encoding, and meta-structures. Could someone explain what the report is saying in plain language, identify which parts are legitimate mathematics, and clarify whether it actually establishes any connection between my drawings and a real scientific model?
2 Answers
In plain English, the report describes a very broad framework for systems that change over time. A state vector is simply a list of the system's current values; a matrix or update rule says how those values change; eigenvalues help describe whether changes grow, shrink, or oscillate; and attractors are patterns the system tends to settle into. Noise means randomness or measurement error. Symbolic encoding means replacing complicated numerical states with labels. These are all real concepts, but the report mostly strings together terminology from dynamical systems, control theory, statistics, and AI. It does not present a specific model of your drawing because the actual equations, variables, parameters, and measurements are missing. The broken symbols and incomplete tables also suggest that the report was poorly formatted or generated without a valid underlying derivation.
The AI responses and the disappearance of a chat are not evidence that the drawings reveal a hidden scientific or supernatural mechanism. AI systems can produce confident-sounding text by combining related phrases, and they may crash, contradict themselves, misformat equations, or invent citations. The most useful next step is to treat the drawing as an interesting visual pattern rather than as a confirmed scientific result: preserve the original files, write down exactly what you remember without adding later interpretations, and ask a mathematician or artist familiar with phase portraits to analyze the image itself. Also, if these experiences are causing fear, interfering with sleep, or making it difficult to trust what is happening, discussing them with a qualified mental-health professional could provide support without dismissing how meaningful they feel.

A sketch can resemble a phase portrait visually, but that alone does not show that it came from a dynamical system. To make that claim, someone would need to define the axes and equations, demonstrate that the drawing is produced by those equations, and compare the result with observations.