Ziglin Sergei L'vovich

Publications in Math-Net.Ru

1. On the absence of an additional real-analytic first integral in the problem of the motion of a dynamically symmetric heavy rigid body about a fixed point
   
   Funktsional. Anal. i Prilozhen., 58:3 (2024),  89–105
2. On the absence of an additional meromorphic first integral in the Riemann problem on the motion of a liquid ellipsoid
   
   Nelin. Dinam., 6:3 (2010),  567–572
3. The integrability by quadratures of variational equations in systems with a complementary first integral
   
   Uspekhi Mat. Nauk, 60:4(364) (2005),  213–214
4. An Analytic Proof of the Nonintegrability of the ABC-flow for $A=B=C$
   
   Funktsional. Anal. i Prilozhen., 37:3 (2003),  77–80
5. First Integrals of Groups of Complex Linear Transformations and of Natural Mechanical Systems with Homogeneous Potential
   
   Mat. Zametki, 70:6 (2001),  839–844
6. Integrals in Involution for Groups of Linear Symplectic Transformations and Natural Mechanical Systems with Homogeneous Potential
   
   Funktsional. Anal. i Prilozhen., 34:3 (2000),  26–36
7. On the Nonintegrability of a Dynamical System of the General Relativity
   
   Regul. Chaotic Dyn., 5:2 (2000),  225–226
8. On the non-existence of a supplementary meromorphic first integral in a Hamiltonian system with two degrees of freedom in the case of a bifurcation of solutions of an inhomogeneous reduced variational system
   
   Uspekhi Mat. Nauk, 53:5(323) (1998),  221–222
9. The Absence of an Additional Real-Analytic First Integral in Some Problems of Dynamic
   
   Funktsional. Anal. i Prilozhen., 31:1 (1997),  3–11
10. The linear variant of the Kozlov's theorem on the absence of first integrals being polinomial of a natural mechanical system in the case of branching of solutions
    
    Regul. Chaotic Dyn., 2:3-4 (1997),  124–125
11. On the absence of a complementary first integral in a special case of Suslov's problem
    
    Uspekhi Mat. Nauk, 52:2(314) (1997),  167–168
12. The $ABC$-flow is not integrable for $A=B$
    
    Funktsional. Anal. i Prilozhen., 30:2 (1996),  80–81
13. Polynomial first integrals of Hamiltonian systems with exponential interaction
    
    Funktsional. Anal. i Prilozhen., 25:3 (1991),  88–89
14. The absence of an additional first integral in a problem of the dynamics of a rigid body
    
    Dokl. Akad. Nauk SSSR, 292:4 (1987),  804–807
15. Splitting of the separatrices and the nonexistence of first integrals in systems of differential equations of Hamiltonian type with two degrees of freedom
    
    Izv. Akad. Nauk SSSR Ser. Mat., 51:5 (1987),  1088–1103
16. Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
    
    Funktsional. Anal. i Prilozhen., 17:1 (1983),  8–23
17. Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics. I
    
    Funktsional. Anal. i Prilozhen., 16:3 (1982),  30–41
18. Branching of solutions and nonexistence of integrals in Hamiltonian systems
    
    Dokl. Akad. Nauk SSSR, 257:1 (1981),  26–29
19. Branching of solutions and the nonexistence of an additional first integral in the problem of motion of an asymmetric heavy rigid body relative to a fixed point
    
    Dokl. Akad. Nauk SSSR, 251:4 (1980),  786–790
20. Nonintegrability of a problem on the motion of four point vortices
    
    Dokl. Akad. Nauk SSSR, 250:6 (1980),  1296–1300
21. Dichotomy of the separatrices, bifurcation of solutions and nonexistence of an integral in the dynamics of a rigid body
    
    Tr. Mosk. Mat. Obs., 41 (1980),  287–303


22. On the absence of an additional meromorphic first integral in the Riemann problem on the motion of a homogeneous liquid ellipsoid
    
    Regul. Chaotic Dyn., 15:4-5 (2010),  630–633
23. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
    
    Uspekhi Mat. Nauk, 35:5(215) (1980),  251–256