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Kurakin, Leonid Gennadievich

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Author ID: kurakin.leonid-g Recent zbMATH articles by "Kurakin, Leonid Gennadievich"
Published as: Kurakin, L. G.; Kurakin, Leonid G.; Kurakin, Leonid
Further Spellings: Куракин Леонид Геннадиевич
External Links: Math-Net.Ru · dblp
Documents Indexed: 37 Publications since 1986
Co-Authors: 7 Co-Authors with 25 Joint Publications
117 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 146 times in 57 Documents Cited by Year
The stability of stationary rotation of a regular vortex polygon. Zbl 1080.76520
Kurakin, L. G.; Yudovich, V. I.
28
2002
On nonlinear stability of the regular vortex systems on a sphere. Zbl 1080.76031
Kurakin, L. G.
15
2004
Nonlinear stability analysis of a regular vortex pentagon outside a circle. Zbl 1252.76017
Kurakin, Leonid G.; Ostrovskaya, Irina V.
9
2012
Stability of the Thomson vortex polygon with evenly many vortices outside a circular domain. Zbl 1211.76027
Kurakin, L. G.; Ostrovskaya, I. V.
8
2010
On the stability of discrete tripole, quadrupole, Thomson’ vortex triangle and square in a two-layer/homogeneous rotating fluid. Zbl 1346.76204
Kurakin, Leonid G.; Ostrovskaya, Irina V.; Sokolovskiy, Mikhail A.
8
2016
On stability of a regular vortex polygon in the circular domain. Zbl 1097.76031
Kurakin, Leonid
7
2005
The stability of the steady rotation of a system of three equidistant vortices outside a circle. Zbl 1272.76116
Kurakin, L. G.
7
2011
Bifurcation of the branching of a cycle in \(n\)-parameter family of dynamic systems with cosymmetry. Zbl 0932.37043
Kurakin, L. G.; Yudovich, V. I.
7
1997
On the stability of the regular \(n\)-sided polygon of vortices. Zbl 0832.76028
Kurakin, L. G.
7
1994
A survey of the stability criteria of Thomson’s vortex polygons outside a circular domain. Zbl 1348.76041
Kurakin, Leonid; Melekhov, Andrey; Ostrovskaya, Irina
7
2016
On stability of thomson’s vortex \(N\)-gon in the geostrophic model of the point Bessel vortices. Zbl 1401.76037
Kurakin, Leonid G.; Ostrovskaya, Irina V.
6
2017
On the stability of Thomson’s vortex configurations inside a circular domain. Zbl 1229.37055
Kurakin, L. G.
6
2010
Bifurcations of a cosymmetric dynamical system with monotone loss of equilibrium stability. Zbl 1039.37031
Kurakin, L. G.; Yudovich, V. I.
4
2000
Influence of annular boundaries on Thomson’s vortex polygon stability. Zbl 1345.70034
Kurakin, L. G.
4
2014
On the stability of Thomson’s vortex pentagon inside a circular domain. Zbl 1270.76018
Kurakin, Leonid G.
3
2012
On stability of the Thomson’s vortex \(N\)-gon in the geostrophic model of the point vortices in two-layer fluid. Zbl 1423.76076
Kurakin, Leonid G.; Lysenko, Irina A.; Ostrovskaya, Irina V.; Sokolovskiy, Mikhail A.
3
2019
Semi-invariant form of equilibrium stability criteria in critical cases. Zbl 0632.58028
Kurakin, L. G.; Yudovich, V. I.
2
1986
Critical cases of stability. Converse implicit function theorem for dynamical systems with cosymmetry. Zbl 0953.34043
Kurakin, L. G.
2
1998
On the stability of Thomson’s vortex \(N\)-gon and a vortex tripole/quadrupole in geostrophic models of Bessel vortices and in a two-layer rotating fluid: a review. Zbl 1446.76114
Kurakin, Leonid G.; Ostrovskaya, Irina V.
2
2019
On equilibrium bifurcations in the cosymmetry collapse of a dynamical system. Zbl 1049.37040
Kurakin, L. G.; Yudovich, V. I.
1
2004
Application of the Lyapunov-Schmidt method to the problem of the branching of a cycle from a family of equilibria in a system with multicosymmetry. Zbl 1020.37029
Kurakin, L. G.; Yudovich, V. I.
1
2000
Bifurcations accompanying monotonic instability of an equilibrium of a cosymmetric dynamical system. Zbl 0969.37025
Kurakin, L. G.; Yudovich, V. I.
1
2000
Codimension-1 bifurcation of the branching of two-dimensional invariant tori from a family of equilibria in systems with cosymmetry. Zbl 1067.37067
Kurakin, L. G.; Yudovich, V. I.
1
2003
Branching of 2D tori off an equilibrium of a cosymmetric system (codimension-1 bifurcation). Zbl 1080.37566
Kurakin, L. G.; Yudovich, V. I.
1
2001
On the stability criteria in A. M. Lyapunov’s paper “A study of one of the special cases of the problem of stability of motion”. Zbl 1324.34109
Kurakin, L. G.
1
2009
Bifurcations accompanying monotonic instability of an equilibrium of a cosymmetric dynamical system. Zbl 1071.37521
Kurakin, L. G.; Yudovich, V. I.
1
2000
On the Lyapunov chain of stability criteria in the critical case of a Jordan 2-block. Zbl 0854.34052
Kurakin, L. G.
1
1994
On the stability of a system of two identical point vortices and a cylinder. Zbl 1459.76055
Borisov, A. V.; Kurakin, L. G.
1
2020
Semi-invariant form of equilibrium stability criteria for systems with one cosymmetry. Zbl 1445.34086
Kurakin, Leonid G.; Kurdoglyan, Aik V.
1
2019
On the stability of the orbit and the invariant set of Thomson’s vortex polygon in a two-fluid plasma. Zbl 1453.82085
Kurakin, L. G.; Lysenko, I. A.
1
2020
On the stability of a system of two identical point vortices and a cylinder. Zbl 1459.76055
Borisov, A. V.; Kurakin, L. G.
1
2020
On the stability of the orbit and the invariant set of Thomson’s vortex polygon in a two-fluid plasma. Zbl 1453.82085
Kurakin, L. G.; Lysenko, I. A.
1
2020
On stability of the Thomson’s vortex \(N\)-gon in the geostrophic model of the point vortices in two-layer fluid. Zbl 1423.76076
Kurakin, Leonid G.; Lysenko, Irina A.; Ostrovskaya, Irina V.; Sokolovskiy, Mikhail A.
3
2019
On the stability of Thomson’s vortex \(N\)-gon and a vortex tripole/quadrupole in geostrophic models of Bessel vortices and in a two-layer rotating fluid: a review. Zbl 1446.76114
Kurakin, Leonid G.; Ostrovskaya, Irina V.
2
2019
Semi-invariant form of equilibrium stability criteria for systems with one cosymmetry. Zbl 1445.34086
Kurakin, Leonid G.; Kurdoglyan, Aik V.
1
2019
On stability of thomson’s vortex \(N\)-gon in the geostrophic model of the point Bessel vortices. Zbl 1401.76037
Kurakin, Leonid G.; Ostrovskaya, Irina V.
6
2017
On the stability of discrete tripole, quadrupole, Thomson’ vortex triangle and square in a two-layer/homogeneous rotating fluid. Zbl 1346.76204
Kurakin, Leonid G.; Ostrovskaya, Irina V.; Sokolovskiy, Mikhail A.
8
2016
A survey of the stability criteria of Thomson’s vortex polygons outside a circular domain. Zbl 1348.76041
Kurakin, Leonid; Melekhov, Andrey; Ostrovskaya, Irina
7
2016
Influence of annular boundaries on Thomson’s vortex polygon stability. Zbl 1345.70034
Kurakin, L. G.
4
2014
Nonlinear stability analysis of a regular vortex pentagon outside a circle. Zbl 1252.76017
Kurakin, Leonid G.; Ostrovskaya, Irina V.
9
2012
On the stability of Thomson’s vortex pentagon inside a circular domain. Zbl 1270.76018
Kurakin, Leonid G.
3
2012
The stability of the steady rotation of a system of three equidistant vortices outside a circle. Zbl 1272.76116
Kurakin, L. G.
7
2011
Stability of the Thomson vortex polygon with evenly many vortices outside a circular domain. Zbl 1211.76027
Kurakin, L. G.; Ostrovskaya, I. V.
8
2010
On the stability of Thomson’s vortex configurations inside a circular domain. Zbl 1229.37055
Kurakin, L. G.
6
2010
On the stability criteria in A. M. Lyapunov’s paper “A study of one of the special cases of the problem of stability of motion”. Zbl 1324.34109
Kurakin, L. G.
1
2009
On stability of a regular vortex polygon in the circular domain. Zbl 1097.76031
Kurakin, Leonid
7
2005
On nonlinear stability of the regular vortex systems on a sphere. Zbl 1080.76031
Kurakin, L. G.
15
2004
On equilibrium bifurcations in the cosymmetry collapse of a dynamical system. Zbl 1049.37040
Kurakin, L. G.; Yudovich, V. I.
1
2004
Codimension-1 bifurcation of the branching of two-dimensional invariant tori from a family of equilibria in systems with cosymmetry. Zbl 1067.37067
Kurakin, L. G.; Yudovich, V. I.
1
2003
The stability of stationary rotation of a regular vortex polygon. Zbl 1080.76520
Kurakin, L. G.; Yudovich, V. I.
28
2002
Branching of 2D tori off an equilibrium of a cosymmetric system (codimension-1 bifurcation). Zbl 1080.37566
Kurakin, L. G.; Yudovich, V. I.
1
2001
Bifurcations of a cosymmetric dynamical system with monotone loss of equilibrium stability. Zbl 1039.37031
Kurakin, L. G.; Yudovich, V. I.
4
2000
Application of the Lyapunov-Schmidt method to the problem of the branching of a cycle from a family of equilibria in a system with multicosymmetry. Zbl 1020.37029
Kurakin, L. G.; Yudovich, V. I.
1
2000
Bifurcations accompanying monotonic instability of an equilibrium of a cosymmetric dynamical system. Zbl 0969.37025
Kurakin, L. G.; Yudovich, V. I.
1
2000
Bifurcations accompanying monotonic instability of an equilibrium of a cosymmetric dynamical system. Zbl 1071.37521
Kurakin, L. G.; Yudovich, V. I.
1
2000
Critical cases of stability. Converse implicit function theorem for dynamical systems with cosymmetry. Zbl 0953.34043
Kurakin, L. G.
2
1998
Bifurcation of the branching of a cycle in \(n\)-parameter family of dynamic systems with cosymmetry. Zbl 0932.37043
Kurakin, L. G.; Yudovich, V. I.
7
1997
On the stability of the regular \(n\)-sided polygon of vortices. Zbl 0832.76028
Kurakin, L. G.
7
1994
On the Lyapunov chain of stability criteria in the critical case of a Jordan 2-block. Zbl 0854.34052
Kurakin, L. G.
1
1994
Semi-invariant form of equilibrium stability criteria in critical cases. Zbl 0632.58028
Kurakin, L. G.; Yudovich, V. I.
2
1986

Citations by Year