Manifold Ways to Darboux-Halphen System

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Morales, J.A.C., Movasati, H., Nikdelan, Y., Roychowdhury, R., Torres, M.A.C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209461
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Manifold Ways to Darboux-Halphen System / J.A.C. Morales, H. Movasati, Y. Nikdelan, R. Roychowdhury, M.A.C. Torres // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 30 назв. — англ.

Many distinct problems give birth to the Darboux-Halphen system of differential equations, and here we review some of them. The first is the classical problem presented by Darboux and later solved by Halphen concerning finding an infinite number of double orthogonal surfaces in R³. The second is a p...