R. I. Bogdanov

R. I. Bogdanov

Rifkat Ibragimovich Bogdanov (born 1950) is a Russian mathematician known for contributions to nonlinear dynamical systems, bifurcation theory, and differential geometry. Ethnic Tatar.

In his work on bifurcations of limit cycles and versal deformations of singular points of vector fields (1975-76), he described a bifurcation of co-dimension 2, which has become known in the literature as the Bogdanov-Takens bifurcation.

Born in the village of Mamykovo in Tatarstan, Bogdanov has a doctorate in physico-mathematical sciences and he is a professor in two Russian research organizations: the Skobeltsyn Institute of Nuclear Physics at Lomonosov Moscow State University and the Department of Higher Mathematics at MATI - the Tsiolkovskii State Technological University.

See also

* Bogdanov-Takens bifurcation

Selected publications

* R. I. Bogdanov (1975). "Versal deformation of a singular point of a vector field with zero eigenvalues," "Functional Analysis and Its Applications" 9: 63 [in Russian] .
* R. I. Bogdanov (1976). "Bifurcations of the limit cycle of a family of vector fields on a plane," "Transactions I. G. Petrovskii Seminar, Moscow State University" 2: 23-35 [in Russian; English translation in "Selecta Mathematica Sovietica" 1: 373-388, 1981] .
* R. I. Bogdanov (1979). "Versal deformations of singular points of vector fields on a plane," "Functional Analysis and Its Applications" 13: 63-64 [in Russian; English translation available] .
* R. I. Bogdanov (2003). "Nonlinear Dynamical Systems on a Plane and Their Applications", Vuzovskaya Kniga Publishing House, Moscow [in Russian] .

References

* Math-Net.Ru/Persons [http://www.mathnet.ru] . Accessed on September 29, 2007.
* Home pages of the Skobeltsyn Institute of Nuclear Physics [http://www.npi.msu.su] and Tsiolkovskii State Technological University [http://www.rstu.ru/about/sostav.php] . Accessed on September 29, 2007.
* Web site of Russia's Genealogical Tree [http://baza.vgd.ru/1/] . Accessed on September 29, 2007.


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