On Uniqueness of Submaximally Symmetric Vector Ordinary Differential Equations of C-Class

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• Hauptverfasser: Kessy, Johnson Allen, The, Dennis
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211971
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On Uniqueness of Submaximally Symmetric Vector Ordinary Differential Equations of C-Class. Johnson Allen Kessy and Dennis The. SIGMA 19 (2023), 058, 29 pages

The fundamental invariants for vector ODEs of order ≥ 3 considered up to point transformations consist of generalized Wilczynski invariants and C-class invariants. An ODE of C-class is characterized by the vanishing of the former. For any fixed C-class invariant 𝒰, we give a local (point) classifica...