Topological, smooth and holomorphic classifications of nonautonomous linear differential systems and projective matrix Riccati equations
V.N. Gorbuzov, V.Yu. Tyshchenko
TL;DR
This paper investigates the classifications of nonautonomous linear differential systems and projective matrix Riccati equations based on topological, smooth, and holomorphic perspectives, providing a comprehensive understanding of their global structure.
Contribution
It introduces new classification results for these systems using covering foliations, extending the understanding of their global properties in various mathematical categories.
Findings
Classification results for nonautonomous linear systems
Application of classifications to Riccati equations
Insights into the global structure of differential systems
Abstract
The questions of global topological, smooth and holomorphic classifications of the differential systems, defined by covering foliations, are considered. The received results are applied to nonautonomous linear differential systems and projective matrix Riccati equations.
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
TopicsAdvanced Differential Equations and Dynamical Systems · Numerical methods for differential equations · Nonlinear Waves and Solitons