Life

Born in Fayence

Life

Born in Fayence (France

France

The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...

), Dulac graduated from Ecole Polytechnique

École Polytechnique

The École Polytechnique is a state-run institution of higher education and research in Palaiseau, Essonne, France, near Paris. Polytechnique is renowned for its four year undergraduate/graduate Master's program...

 (Paris, class of 1892) and obtained a Doctorate in Mathematics. He started to teach a class of mathematic analysis at University, in Grenoble (France), Algiers (today Algeria) and Poitiers (France). Holder of a pulpit in pure mathematics in the Sciences University of Lyon (France) in 1911, his teaching was suspended during the first world war (1914 – 1918) and he had to serve as officer in the French army. After the war, he became holder of a pulpit of differential and integral calculus and also taught in Ecole Centrale Lyon. He became examiner at Ecole Polytechnique (Paris) and President of the admission jury. Awarded Officer of Legion d'honneur

Légion d'honneur

The Legion of Honour, or in full the National Order of the Legion of Honour is a French order established by Napoleon Bonaparte, First Consul of the Consulat which succeeded to the First Republic, on 19 May 1802...

, the French order established by Napoleon and associate member of the French Academy of Sciences

French Academy of Sciences

The French Academy of Sciences is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research...

, he published part of Euler's works and contributed to the research through many publications in France and abroad.

Father of 3 children, Anie (1901 – 1935), bachelor in mathematics, Jean (1903 – 2005), graduate of Ecole Polytechnique, 1921 and Robert (1904 - 1996), graduate of polytechnique, 1922; he died in Fayence, France, in 1955.

Work

Among his publications :

• Recherches sur les points singuliers des équations différentielles (Journal of Ecole 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, Ecole Centrale Lyon, French Academy of Sciences, updated by Louis Boisgibault, his great grand son.