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Pekka Juhana Myrberg (1892-1976)

Mathematics genealogy project: Pekka Juhana Myrberg   


From Wikipedia (check this link for the references):    Pekka Juhana Myrberg (30 December 1892, Viipuri - 8 November 1976, Helsinki) was a Finnish mathematician known for developing the concept of period-doubling[1][2][3][4] in a paper published in the 1950s. The concept was further developed by Mitchell Feigenbaum[5] during the 1970s.

Myrberg received his PhD in 1916 at the University of Helsinki under Ernst Lindelöf with thesis Zur Theorie der Konvergenz der Poincaré'schen Reihen.[6] He began his career by teaching at a Gymnasium, and then became in 1921 professor extraordinarius and in 1926 professor ordinarius at the University of Helsinki. In 1952 he became the rector and from 1952 to 1962 the chancellor of the University of Helsinki. In 1962 he retired as professor emeritus but continued publishing mathematical papers into the 1970s.

In the 1950s Myberg published several fundamental papers on the iteration of rational functions (especially quadratic functions).[7] His research revived interest in the results of Gaston Julia and Pierre Fatou published during the beginning of the 20th century.

Myberg was a member of the Finnish Academy of Sciences. In 1954 he was an invited speaker (Über die Integration der Poissonschen Gleichung auf Riemannschen Flächen) at the International Mathematical Congress in Amsterdam.


Here are PDF copies of MYRBERG's legacy works in Nonlinear Dynamics:
1958, Annales Academiae Scientiarum Fennicae, Band 256: Iteration der reellen Polynome zweiten Grades I
1958, Annales Academiae Scientiarum Fennicae, Band 259: Iteration von Quadratwurzelnoperationen
1959, Annales Academiae Scientiarum Fennicae, Band 268: Iteration der reellen Polynome zweiten Grades II
1962, Journal des Mathématiques Pures et Appliquées 41: Sur l'itération des polynomes quadratiques
1963, Annales Academiae Scientiarum Fennicae, Band 336: Iteration der reellen Polynome zweiten Grades III

The following publication expands certain aspects of Myrberg's landmark papers:
Accumulation points in nonlinear parameter lattices
Marcus Werner Beims and Jason A.C. Gallas
Physica A 238, 225-244 (1997)

CLICK here for a list of publications by P.J. Myrberg





Check how Yoshisuke Ueda found chaos in 1961
(Rikitake found it in 1955, Lorenz in 1963):

Free book about the saga on the ORIGINS of chaos in Japan   


























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