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Rifkat Bogdanov
Rifkat Ibragimovich Bogdanov (russian: Рифка́т Ибраги́мович Богда́нов; June 13, 1950 – November 3, 2013) was a Soviet and Russian mathematician known for contributions to nonlinear dynamical systems, bifurcation theory, and differential geometry. He was an 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 had a doctorate in physico-mathematical sciences and was 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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
USSR
The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen national republics; in practice, both its government and its economy were highly centralized until its final years. It was a one-party state governed by the Communist Party of the Soviet Union, with the city of Moscow serving as its capital as well as that of its largest and most populous republic: the Russian SFSR. Other major cities included Leningrad (Russian SFSR), Kiev ( Ukrainian SSR), Minsk ( Byelorussian SSR), Tashkent (Uzbek SSR), Alma-Ata (Kazakh SSR), and Novosibirsk (Russian SFSR). It was the largest country in the world, covering over and spanning eleven time zones. The country's roots lay in the October Revolution of 1917, when the Bolsheviks, under the leadership of Vladimir Lenin, overthrew the Russian Provisional Gove ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bogdanov–Takens Bifurcation
In bifurcation theory, a field within mathematics, a Bogdanov–Takens bifurcation is a well-studied example of a bifurcation with co-dimension two, meaning that two parameters must be varied for the bifurcation to occur. It is named after Rifkat Bogdanov and Floris Takens, who independently and simultaneously described this bifurcation. A system ''y = ''f''(''y'') undergoes a Bogdanov–Takens bifurcation if it has a fixed point and the linearization of ''f'' around that point has a double eigenvalue at zero (assuming that some technical nondegeneracy conditions are satisfied). Three codimension-one bifurcations occur nearby: a saddle-node bifurcation, an Andronov–Hopf bifurcation and a homoclinic bifurcation Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of a given family of curves, such as the integral curves of a family of vector fields, and the solutions of a family of differential equations. Mo .... All associated ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Soviet Mathematicians
The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen national republics; in practice, both its government and its economy were highly centralized until its final years. It was a one-party state governed by the Communist Party of the Soviet Union, with the city of Moscow serving as its capital as well as that of its largest and most populous republic: the Russian SFSR. Other major cities included Leningrad (Russian SFSR), Kiev (Ukrainian SSR), Minsk (Byelorussian SSR), Tashkent (Uzbek SSR), Alma-Ata (Kazakh SSR), and Novosibirsk (Russian SFSR). It was the largest country in the world, covering over and spanning eleven time zones. The country's roots lay in the October Revolution of 1917, when the Bolsheviks, under the leadership of Vladimir Lenin, overthrew the Russian Provisional Government tha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tatar People Of Russia
The Tatars ()Tatar in the Collins English Dictionary is an umbrella term for different Turkic ethnic groups bearing the name "Tatar". Initially, the ethnonym ''Tatar'' possibly referred to the . That confederation was eventually incorporated into the when unified the various steppe tr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2013 Deaths
This is a list of deaths of notable people, organised by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked here. 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 See also * Lists of deaths by day The following pages, corresponding to the Gregorian calendar, list the historical events, births, deaths, and holidays and observances of the specified day of the year: Footnotes See also * Leap year * List of calendars * List of non-standard ... * Deaths by year {{DEFAULTSORT:deaths by year ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1950 Births
Year 195 ( CXCV) was a common year starting on Wednesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Scrapula and Clemens (or, less frequently, year 948 '' Ab urbe condita''). The denomination 195 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Emperor Septimius Severus has the Roman Senate deify the previous emperor Commodus, in an attempt to gain favor with the family of Marcus Aurelius. * King Vologases V and other eastern princes support the claims of Pescennius Niger. The Roman province of Mesopotamia rises in revolt with Parthian support. Severus marches to Mesopotamia to battle the Parthians. * The Roman province of Syria is divided and the role of Antioch is diminished. The Romans annexed the Syrian cities of Edessa and Nisibis. Severus re-establ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lomonosov Moscow State University
M. V. Lomonosov Moscow State University (MSU; russian: Московский государственный университет имени М. В. Ломоносова) is a public research university in Moscow, Russia and the most prestigious university in the country. The university includes 15 research institutes, 43 faculties, more than 300 departments, and six branches (including five foreign ones in the Commonwealth of Independent States countries). Alumni of the university include past leaders of the Soviet Union and other governments. As of 2019, 13 Nobel laureates, six Fields Medal winners, and one Turing Award winner had been affiliated with the university. The university was ranked 18th by ''The Three University Missions Ranking'' in 2022, and 76th by the ''QS World University Rankings'' in 2022, #293 in the world by the global ''Times Higher World University Rankings'', and #326 by '' U.S. News & World Report'' in 2022. It was the highest-ranking Russian education ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Skobeltsyn Institute Of Nuclear Physics
Dmitri Vladimirovich Skobeltsyn (russian: Дмитрий Владимирович Скобельцын) (November 24, 1892 in Saint Petersburg – November 16, 1990) was a Soviet physicist, academician of the Soviet Academy of Sciences (1946), Hero of Socialist Labor (1969). Dmitri Skobeltsyn was awarded the Stalin Prize (1950), six Orders of Lenin, two other orders, and numerous medals. Starting in 1923, Skobeltsyn pioneered the use of the cloud chamber to study the Compton effect. As a result of this work, Skobeltsyn paved the way for Carl David Anderson's discovery of the positron The positron or antielectron is the antiparticle or the antimatter counterpart of the electron. It has an electric charge of +1 '' e'', a spin of 1/2 (the same as the electron), and the same mass as an electron. When a positron collides ... by two important contributions: by adding a magnetic field to his cloud chamber (in 1925) , and by discovering charged particle cosmic ra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tatarstan
The Republic of Tatarstan (russian: Республика Татарстан, Respublika Tatarstan, p=rʲɪsˈpublʲɪkə tətɐrˈstan; tt-Cyrl, Татарстан Республикасы), or simply Tatarstan (russian: Татарстан, tt-Cyrl, Татарстан), sometimes also called Tataria (russian: Татария, tt-Cyrl, Татария), is a Republics of Russia, republic of Russia located in Eastern Europe. It is a part of the Volga Federal District; and its capital city, capital and largest city is Kazan, an important cultural centre in Russia. The republic borders Kirov Oblast, Kirov, Ulyanovsk Oblast, Ulyanovsk, Samara Oblast, Samara, and Orenburg Oblasts, the Mari El Republic, Mari El, Udmurt Republic, Udmurt, and Chuvash Republics, and the Bashkortostan, Republic of Bashkortostan. The area of the republic is . The unofficial Tatarstan motto is ''Bez Buildırabız!'' (''We can!''). As of the Russian Census (2021), 2021 Census, the population of Tatarstan was& ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Co-dimension
In mathematics, codimension is a basic geometric idea that applies to subspaces in vector spaces, to submanifolds in manifolds, and suitable subsets of algebraic varieties. For affine and projective algebraic varieties, the codimension equals the height of the defining ideal. For this reason, the height of an ideal is often called its codimension. The dual concept is relative dimension. Definition Codimension is a ''relative'' concept: it is only defined for one object ''inside'' another. There is no “codimension of a vector space (in isolation)”, only the codimension of a vector ''sub''space. If ''W'' is a linear subspace of a finite-dimensional vector space ''V'', then the codimension of ''W'' in ''V'' is the difference between the dimensions: :\operatorname(W) = \dim(V) - \dim(W). It is the complement of the dimension of ''W,'' in that, with the dimension of ''W,'' it adds up to the dimension of the ambient space ''V:'' :\dim(W) + \operatorname(W) = \dim(V). Similarl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
