Leonid Pavlovich Schilnikow
Leonid Pavlovich Shilnikov ( Russian Леонид Павлович Шильников , English transcription Leonid Pavlovich Shilnikov; born December 17, 1934 in the Kotelnitsch - Kirov region; † December 26, 2011 ) was a Russian mathematician who dealt with the theory of dynamic systems and theory of Bifurcation.
He was a professor at the Nizhny Novgorod State University , where from 1984 he headed the differential equations department at the Research Institute for Applied Mathematics and Cybernetics. After the opening of the Soviet Union around 1990, he attended many universities in the West (Germany, Belgium, USA, Italy, Israel, France). In Brussels he worked closely with Ilya Prigogine .
Schilnikow came from a working-class family and studied from 1952 at the Gorky State University (now Nizhny Novgorod) with a degree in 1957 and a doctorate in 1962 under Juri Isaakowitsch Neimark . In his dissertation he studied higher-dimensional cases of the plane bifurcations originally studied by Alexander Alexandrowitsch Andronow (who founded a school for the study of dynamic systems in Gorky) and Ewgenija Alexandrovna Leontowitsch (later Leontowitsch-Andronova) in the 1930s . In 1965 he also discovered a path of chaos formation, later named after him (Shilnikov bifurcation)
In 2002 he received the Humboldt Research Award . In 1998 he received the Lyapunov Prize of the Russian Academy of Sciences and in 2005 the Lavrentiev Prize of the Ukrainian Academy of Sciences. In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing (Bifurcations and strange attractors).
His son Andrei Schilnikow (Andrey Shilnikov) is also a mathematician who deals with dynamic systems.
Valentin Afraimovich and D. Turaev are among his PhD students.
Fonts
- with Wladimir Arnold , VS Afraimovich, Yu. S. Ilyashenko Bifurcation theory and catastrophe theory , in Arnold (editor) Dynamical Systems V, Encyclopedia of Mathematics, Springer Verlag 1994 (Russian 1986)
- with DV Turaev, L. Chua Methods of qualitative theory in nonlinear dynamics , 2 volumes, World Scientific 1998, 2001
Web links
Individual evidence
| personal data | |
|---|---|
| SURNAME | Schilnikow, Leonid Pavlovich |
| ALTERNATIVE NAMES | Шильников, Леонид Павлович (Russian) |
| BRIEF DESCRIPTION | Russian mathematician |
| DATE OF BIRTH | December 17, 1934 |
| PLACE OF BIRTH | Kotelnitsch - Kirov region |
| DATE OF DEATH | December 26, 2011 |