Rifkat Bogdanov

Rifkat Bogdanov's AcademicInfluence.com Rankings

Rifkat Bogdanov

Mathematics

#2434

World Rank

#3762

Historical Rank

Group Theory

#515

World Rank

#597

Historical Rank

Number Theory

#518

World Rank

#640

Historical Rank

Algebra

#842

World Rank

#1099

Historical Rank

mathematics Degrees

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Mathematics

Why Is Rifkat Bogdanov Influential?

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According to Wikipedia, Rifkat Ibragimovich Bogdanov 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 , he described a bifurcation of co-dimension 2, which has become known in the literature as the Bogdanov–Takens bifurcation.

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Rifkat Bogdanov's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Versal deformations of a singular point of a vector field on the plane in the case of zero eigenvalues (1975) (247)
Singularities of vector fields on the plane with pointed direction (1979) (12)
Reduction to orbital normal form of a vector field on the plane (1976) (11)
Orbital equivalence of singular points of vector fields on the plane (1976) (9)
New nature of the noise of thermally stimulated electron emission from rods under cyclic torsion (2007) (8)
Local Orbitals of Normal Forms of Vector Fields on a Plane (1985) (6)
Factorization of diffeomorphisms over phase portraits of vector fields on the plane (1997) (6)
Singularities of vector fields on a plane (1977) (4)
Structure formation in the weakly dissipative Kolmogorov-Arnold-Moser theory (2008) (4)
The weakly dissipative version of the Kolmogorov-Arnold-Moser theory and practical calculations (2008) (3)
Versal deformations of singular points of vector fields on a plane (1979) (3)
Thermal parameters of jet flows in the weakly dissipative Kolmogorov-Arnold-Moser theory (2008) (2)
Local relative integral invariants determined by the phase portrait of a vector field on the plane (1995) (1)
Estimation of the density particle fluxes in the weakly dissipative Kolmogorov-Arnol’d-Mozer theory (2010) (1)
Modules of C∞-orbital normal forms for singular points of vector fields on a plane (1977) (1)
Fractal structures in weakly dissipative kam theory and related problems (2013) (1)
Singular relative integral invariants and adiabatic processes of thermodynamics (1999) (1)
Methods and Techniques of Experimental Research on the Atmosphere (Selected Articles) (1982) (0)
Continuous billiards and the weakly dissipative Kolmogorov – Arnold – Moser theory (2012) (0)
Integrals of semiintegrable k-tuples of germs of vector fields in the plane (1994) (0)
Degree of degeneracy of a singular point of a vector field on the plane (1978) (0)
Groups of symmetries for nonlinear thermodynamics with one degree of freedom (1994) (0)
Continuous billiards and the weakly dissipative Kolmogorov – Arnold – Moser theory (2013) (0)
The weakly dissipative version of the Kolmogorov-Arnold-Moser theory and practical calculations (2008) (0)
Structure formation in the weakly dissipative Kolmogorov-Arnold-Moser theory (2008) (0)
MOSCOW STATE UNIVERSITY DEPARTMENT OF MECHANICS AND MATHEMATICS Hildebrand Roland CLASSIFICATION OF PHASE PORTRAITS OF OPTIMAL SYNTHESIS specialization: differential equations (2016) (0)
From the Newton version of the Kolmogorov–Arnol’d–Moser theory to a weakly dissipative version (2012) (0)
Direct measurement theory, Ito-Stratonovich theory, and weakly dissipative Kolmogorov-Arnold-Moser theory (2012) (0)
From the Newton version of the Kolmogorov–Arnol’d–Moser theory to a weakly dissipative version (2012) (0)
Methods of evaluation and scale of functional spaces (2013) (0)
Finitely defined local phase portraits of vector fields (1982) (0)
Methods of evaluation and scale of functional spaces (2013) (0)
Fractal structures in weakly dissipative kam theory and related problems (2013) (0)
Integrable analytic vector fields with a nilpotent linear part (2018) (0)
Algebras of first integrals of finitely modal singularities of vector fields (1986) (0)
Groups of symmetries for nonlinear thermodynamics with one degree of freedom (1994) (0)
VERSAL D EFORMATIONS OF A VECTOR F IELD ON OF Z ERO E IGENVALUES (1975) (0)
Numerical Data in Weakly-Dissipative KAM-Theory (2014) (0)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Invariants of elementary singular points in a plane (1985) (0)
Thermodynamics in weakly-dissipative Kolmogorov-Arnold-Moser theory (2012) (0)
Nonlocal integrals and conservation laws in the theory of nonlinear solitons (2008) (0)
The theory of primary measurements after Poincaré-Ehrenfest for the nonstationary Schrödinger equation (1999) (0)

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Why Is Rifkat Bogdanov Influential?

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Published Works

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Rifkat Bogdanov's AcademicInfluence.com Rankings