Maurício Peixoto

Maurício Peixoto

Maurício Matos Peixoto, born on April 15 of 1921, in Fortaleza, Ceará, is a Brazilian engineer who pursued a bright career as a mathematician. He pioneered the studies on structural stability, and is the author of Peixoto's theorem.

Once, while talking with his mentor, Solomon Lefschetz, Maurício Peixoto commented that no one cared about structural stability of dynamical systems and that was the main problem in working with it. But to Peixoto's surprise Lefschetz's answer was no less than "No Mauricio, this is no trouble, this is your luck. Try to work as hard and as fast as you can on this subject because the day will come when you will not understand a single word of what they will be saying about structural stability; this happened to me in topology." Lefschetz's support was very important to Peixoto at the time. In 1957, Peixoto went to research the subject with Lefschetz at the Princeton University, where he spent uncountable hours talking to the Russian professor about Mathematics and other subjects. Despite of the great age difference (Peixoto was 36 years old and Lefschetz 73), they became good friends.

With Lefschetz incentive, Peixoto wrote his first paper on structural stability, that would be later published on the Annals of Mathematics, of which Lefschetz was editor. In 1958, they went to the International Mathematics Congress, in Edinburgh, Scotland, where Lefschetz introduced Peixoto to the Russian mathematician Lev Pontrjagin, whose work on dynamical systems was used by Peixoto as a basis for his studies. Pontrjagin, though, showed no interest whatsoever in Peixoto's work.

Back to Princeton, Peixoto met Steve Smale, the mathematician that would later become a reference in dynamical systems. Smale was interested in Peixoto's work and realized he could extend his own based on it. Their contact intensified and, when Peixoto came back to Brazil, the American mathematician spent six months at (Instituto de Matemática Pura e Aplicada - Institute of Pure and Applied Mathematics (IMPA)- at Rio de Janeiro). Through Smale, Peixoto would meet the French mathematician René Thom, who would help Peixoto to formulate his theorem, that was finalized during Thom's visit to IMPA.

For his theorem, Peixoto won the Bunge Foundation Award in the year of 1969. According to Bunge Foundation, "the theorem of Peixoto on the structural stability in two-dimensional varieties inspired the mathematician S. Smale to create the general theory of dynamic systems".

In 1986, Peixoto was awarded by the Third World Science Academy, "for his fundamental and pioneer studies on structural stability in dynamical systems, in particular for proving that surface flows are generically structurally stable."

See also


Wikimedia Foundation. 2010.

Look at other dictionaries:

  • Peixoto's theorem — Devised by Maurício Peixoto, the theorem states that for dynamical systems on compact 2D manifolds, the structurally stable systems have the following properties:* Finite number of hyperbolic equilibrium points. * Finite number of attracting or… …   Wikipedia

  • José Maurício Nunes Garcia — A portrait of composer. José Maurício Nunes Garcia (September 20, 1767 – April 18, 1830) was a Brazilian classical composer, one of the greatest exponents of Classicism in the Americas. Born in Rio de Janeiro, son of mulattos, Nunes Garcia lost… …   Wikipedia

  • Doutor Maurício Cardoso — is a municipality in the state Rio Grande do Sul, Brazil. See also List of municipalities in Rio Grande do Sul v …   Wikipedia

  • Aerocirco — Datos generales Origen Santa Catarina, Florianópolis,  Brasil …   Wikipedia Español

  • Northeast Region, Brazil — Nordeste redirects here. For other uses, see Nordeste (disambiguation). Northeast Region Região Nordeste   Region   …   Wikipedia

  • Brazilian Order of Scientific Merit — Great Cross of the National Order of Scientific Merit The National Order of Scientific Merit (Portuguese: Ordem Nacional do Mérito Científico) is an honor bestowed upon Brazilian and foreign personalities recognized for their scientific and… …   Wikipedia

  • Getulio Vargas — Getúlio Vargas Pour les articles homonymes, voir Getúlio Vargas (homonymie). Traduction à relire …   Wikipédia en Français

  • Getúlio Dornelles Vargas — Getúlio Vargas Pour les articles homonymes, voir Getúlio Vargas (homonymie). Traduction à relire …   Wikipédia en Français

  • Getúlio Vargas — Pour les articles homonymes, voir Getúlio Vargas (homonymie). Traduction à relire …   Wikipédia en Français

  • Embraer — Infobox Company company name = Empresa Brasileira de Aeronáutica company company type = Public (NYSE: [ ERJ] ) (Bovespa: [… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.