Equivalence for Differential Equations
Odinette Ren\'ee Abib (LMRS)
TL;DR
This paper investigates how to determine when two ordinary differential equations can be transformed into each other using affine transformations, providing a systematic approach to classify differential equations based on their equivalence.
Contribution
It introduces a method to analyze the equivalence of differential equations under affine transformations, advancing the understanding of their symmetry properties.
Findings
Developed criteria for equivalence under affine transformations
Classified differential equations based on their symmetry groups
Provided a framework for simplifying differential equations through transformations
Abstract
We shall study the equivalence problem for ordinary differential equations with respect to the affine transformations group.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Numerical methods for differential equations · Algebraic and Geometric Analysis