Henri Dulac - Work

Work

Among his publications :

• Recherches sur les points singuliers des équations différentielles (Journal of École Polytechnique, 1904). • Intégrales d’une équation différentielle (Annales University of Grenoble, 1905). • Sur les Points dicritiques (Journal of mathématics, 1906). • Sur les séries de Mac-Laurin à plusieurs variables (Acta Mathematica, 1906). • Détermination et intégration d’une classe d’équations différentielles (Bulletin of mathematical sciences). • Intégrales passant par un point singulier (Rendeconti del Circolo, 1911). • Sur les points singuliers (Annales, Toulouse, 1912). • Solutions d’un système d’équations différentielles (Bulletin of the mathematical society, 1913). • Sur les cycles limites (Bulletin of the mathematical society, 1923). • Points singuliers des équations différentielles (Mémorial des sciences mathématiques, 1932). • Courbes définies par une équation différentielle du premier ordre (Mémorial des sciences mathématiques, 1934).

His researches are still mentioned or challenged by international university PHD students and professors, even a hundred years after being published. As an example :

• The Center Variety of Polynomial Differential Systems – Abdu Salam Jarrah, Faculté des sciences mathématiques, Université du Nouveau Mexique, USA (2001). • Complete Polynomial Vector Fields on C2 – Julio Rebelo, Institute for Mathematical Sciences, SUNY, New York, USA (oct. 2002). • Dimension Increase and Splitting for Poincaré-Dulac Normal forms - Giuseppe Gaeta, Faculté de Mathématique de l’Université de Milan and Sebastian Walcher, chaire de Mathématique, Aix La Chapelle, Journal of Non linear Mathematical Physices (2005).

Sources : Technica, n° 190, nov. 1955, École Centrale Lyon, French Academy of Sciences, updated by Louis Boisgibault, his great grand son.


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Name Dulac, Henri
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Date of birth October 3, 1870
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Date of death 1955
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