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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
S. L. Ziglin, “On the absence of an additional real-analytic first integral in the problem on the motion of a dynamically symmetric heavy rigid body around a fixed point”, Funktsional. Anal. i Prilozhen., 58:3 (2024), 89–105  |
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2010 |
| 2. |
S. L. Ziglin, “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 |
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2005 |
| 3. |
S. L. Ziglin, “The integrability by quadratures of variational equations in systems with a complementary first integral”, Uspekhi Mat. Nauk, 60:4(364) (2005), 213–214    ; Russian Math. Surveys, 60:4 (2005), 802–803   |
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2003 |
| 4. |
S. L. Ziglin, “An Analytic Proof of the Nonintegrability of the ABC-flow for $A=B=C$”, Funktsional. Anal. i Prilozhen., 37:3 (2003), 77–80 ; Funct. Anal. Appl., 37:3 (2003), 225–227 |
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2001 |
| 5. |
S. L. Ziglin, “First Integrals of Groups of Complex Linear Transformations and of Natural Mechanical Systems with Homogeneous Potential”, Mat. Zametki, 70:6 (2001), 839–844 ; Math. Notes, 70:6 (2001), 765–770 |
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2000 |
| 6. |
S. L. Ziglin, “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 ; Funct. Anal. Appl., 34:3 (2000), 179–187 |
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| 7. |
S. L. Ziglin, “On the Nonintegrability of a Dynamical System of the General Relativity”, Regul. Chaotic Dyn., 5:2 (2000), 225–226 |
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1998 |
| 8. |
S. L. Ziglin, “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 ; Russian Math. Surveys, 53:5 (1998), 1108–1109 |
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1997 |
| 9. |
S. L. Ziglin, “The Absence of an Additional Real-Analytic First Integral in Some Problems of Dynamic”, Funktsional. Anal. i Prilozhen., 31:1 (1997), 3–11 ; Funct. Anal. Appl., 31:1 (1997), 3–9 |
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| 10. |
S. L. Ziglin, “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. |
S. L. Ziglin, “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 ; Russian Math. Surveys, 52:2 (1997), 434–435 |
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1996 |
| 12. |
S. L. Ziglin, “The $ABC$-flow is not integrable for $A=B$”, Funktsional. Anal. i Prilozhen., 30:2 (1996), 80–81 ; Funct. Anal. Appl., 30:2 (1996), 137–138 |
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1991 |
| 13. |
S. L. Ziglin, “Polynomial first integrals of Hamiltonian systems with exponential interaction”, Funktsional. Anal. i Prilozhen., 25:3 (1991), 88–89 ; Funct. Anal. Appl., 25:3 (1991), 235 |
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1987 |
| 14. |
S. L. Ziglin, “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 |
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| 15. |
S. L. Ziglin, “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 ; Math. USSR-Izv., 31:2 (1988), 407–421 |
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1983 |
| 16. |
S. L. Ziglin, “Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II”, Funktsional. Anal. i Prilozhen., 17:1 (1983), 8–23 ; Funct. Anal. Appl., 17:1 (1983), 6–17 |
192
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1982 |
| 17. |
S. L. Ziglin, “Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics. I”, Funktsional. Anal. i Prilozhen., 16:3 (1982), 30–41 ; Funct. Anal. Appl., 16:3 (1982), 181–189 |
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1981 |
| 18. |
S. L. Ziglin, “Branching of solutions and nonexistence of integrals in Hamiltonian systems”, Dokl. Akad. Nauk SSSR, 257:1 (1981), 26–29 |
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1980 |
| 19. |
S. L. Ziglin, “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. |
S. L. Ziglin, “Nonintegrability of a problem on the motion of four point vortices”, Dokl. Akad. Nauk SSSR, 250:6 (1980), 1296–1300 |
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| 21. |
S. L. Ziglin, “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 |
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2010 |
| 22. |
S. L. Ziglin, “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 |
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1980 |
| 23. |
V. P. Myasnikov, M. V. Fedoryuk, C. Boldrighini, R. L. Dobrushin, Yu. M. Sukhov, A. S. Schwarz, S. L. Ziglin, B. A. Dubrovin, S. P. Novikov, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 35:5(215) (1980), 251–256 |
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