Kurakin Leonid Gennadievich

Publications in Math-Net.Ru

1. On the Stability of the System of Thomson’s Vortex $n$-Gon and a Moving Circular Cylinder
   
   Rus. J. Nonlin. Dyn., 18:5 (2022),  915–926
2. Resonances in the Stability Problem of a Point Vortex Quadrupole on a Plane
   
   Regul. Chaotic Dyn., 26:5 (2021),  526–542
3. On the Isolation/Nonisolation of a Cosymmetric Equilibrium and Bifurcations in its Neighborhood
   
   Regul. Chaotic Dyn., 26:3 (2021),  258–270
4. On the Stability of the Orbit and the Invariant Set of Thomson’s Vortex Polygon in a Two-Fluid Plasma
   
   Rus. J. Nonlin. Dyn., 16:1 (2020),  3–11
5. On the Stability of a System of Two Identical Point Vortices and a Cylinder
   
   Trudy Mat. Inst. Steklova, 310 (2020),  33–39
6. 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
   
   Rus. J. Nonlin. Dyn., 15:4 (2019),  533–542
7. Semi-Invariant Form of Equilibrium Stability Criteria for Systems with One Cosymmetry
   
   Rus. J. Nonlin. Dyn., 15:4 (2019),  525–531
8. On Stability of Thomson’s Vortex $N$-gon in the Geostrophic Model of the Point Bessel Vortices
   
   Regul. Chaotic Dyn., 22:7 (2017),  865–879
9. On the Stability of Discrete Tripole, Quadrupole, Thomson’ Vortex Triangle and Square in a Two-layer/Homogeneous Rotating Fluid
   
   Regul. Chaotic Dyn., 21:3 (2016),  291–334
10. The stability criterion of a regular vortex pentagon outside a circle
    
    Nelin. Dinam., 8:2 (2012),  355–368
11. Nonlinear Stability Analysis of a Regular Vortex Pentagon Outside a Circle
    
    Regul. Chaotic Dyn., 17:5 (2012),  385–396
12. On the Stability of Thomson’s Vortex Pentagon Inside a Circular Domain
    
    Regul. Chaotic Dyn., 17:2 (2012),  150–169
13. On the stability of Thomson's vortex pentagon inside a circular domain
    
    Nelin. Dinam., 7:3 (2011),  465–488
14. On the stability of Thomson’s vortex configurations inside a circular domain
    
    Regul. Chaotic Dyn., 15:1 (2010),  40–58
15. Stability of the Thomson vortex polygon with evenly many vortices outside a circular domain
    
    Sibirsk. Mat. Zh., 51:3 (2010),  584–598
16. The stability of Thomson's configurations of vortices in a circular domain
    
    Nelin. Dinam., 5:3 (2009),  295–317
17. 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”
    
    Vladikavkaz. Mat. Zh., 11:3 (2009),  28–37
18. On equilibrium bifurcations in the cosymmetry collapse of a dynamical system
    
    Sibirsk. Mat. Zh., 45:2 (2004),  356–374
19. Codimension One Bifurcation of 2-Dimensional Tori Born from an Equilibrium Family in Systems with Cosymmetry
    
    Mat. Zametki, 73:5 (2003),  796–800
20. On stability of boundary equilibria in systems with cosymmetry
    
    Sibirsk. Mat. Zh., 42:6 (2001),  1324–1334
21. The Hopf bifurcation in a family of equilibria of a dynamical system with a multicosymmetry
    
    Differ. Uravn., 36:10 (2000),  1315–1323
22. Application of the Lyapunov–Schmidt method to the problem of the branching of a cycle from a family of equilibria of a system with multicosymmetry
    
    Sibirsk. Mat. Zh., 41:1 (2000),  136–149
23. Bifurcation of a limit cycle from the equilibrium submanifold in a system with multiple cosymmetries
    
    Mat. Zametki, 66:2 (1999),  317–320
24. Critical cases of stability. Converse implicit function theorem for dynamical systems with cosymmetry
    
    Mat. Zametki, 63:4 (1998),  572–578
25. On the Lyapunov chain of stability criteria in the critical case of a Jordan $2$-cell
    
    Dokl. Akad. Nauk, 337:1 (1994),  14–16
26. On the stability of a regular vortex $n$-gon
    
    Dokl. Akad. Nauk, 335:6 (1994),  729–731