| Abstract: |
| In this talk, we introduce a general technique for discovering functional relationships among the components of solutions to initial value problems for systems of differential equations. The approach leverages sparse identification techniques applied to data generated from numerical solutions of the given initial value problem. The central assumption is that only a small number of terms govern the interactions among components, leading to mathematical relations that are sparse within the broader space of possible functions. We demonstrate the effectiveness and versatility of the method through a series of illustrative applications. |
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