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Kuleshov, A. S.; Vidov, N. M.

Transgression effect in the problem of the motion of a rod on a cylinder. (English. Russian original) Zbl 07760657

Vestn. St. Petersbg. Univ., Math. 56, No. 3, 403-411 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 3, 568-580 (2023).
MSC:  70E18 70F25
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\textit{A. S. Kuleshov} and \textit{N. M. Vidov}, Vestn. St. Petersbg. Univ., Math. 56, No. 3, 403--411 (2023; Zbl 07760657); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 3, 568--580 (2023)
Full Text: DOI
Tikhonov, A. A.

Rigid-body dynamics from the Euler equations to the attitude control of spacecraft in the works of scientists from Saint Petersburg State University. I. (English. Russian original) Zbl 07760650

Vestn. St. Petersbg. Univ., Math. 56, No. 3, 322-340 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 3, 457-486 (2023).
MSC:  70Exx 01Axx 70-XX
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\textit{A. A. Tikhonov}, Vestn. St. Petersbg. Univ., Math. 56, No. 3, 322--340 (2023; Zbl 07760650); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 3, 457--486 (2023)
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Novikov, M. A.

Stability of stationary motions of mechanical systems with a particular Goryachev-Chaplygin integral. (English. Russian original) Zbl 07713817

Mech. Solids 58, No. 3, 814-817 (2023); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 3, 177-180 (2023).
MSC:  70E50 70E40 70E17
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\textit{M. A. Novikov}, Mech. Solids 58, No. 3, 814--817 (2023; Zbl 07713817); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 3, 177--180 (2023)
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Gorr, G. W.

Statement of the problem of precessions of a solid with a fixed point in three homogeneous force fields. Precession-isoconic body movements. (English. Russian original) Zbl 07713813

Mech. Solids 58, No. 3, 768-778 (2023); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 3, 123-134 (2023).
MSC:  70E17 70E05
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\textit{G. W. Gorr}, Mech. Solids 58, No. 3, 768--778 (2023; Zbl 07713813); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 3, 123--134 (2023)
Full Text: DOI
Burov, A. A.; Nikonov, V. I.

On the relative equilibria of a heavy bead on a uniformly rotating rough spoke. (English. Russian original) Zbl 07713811

Mech. Solids 58, No. 3, 748-753 (2023); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 3, 156-165 (2023).
MSC:  70E18 70F40
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\textit{A. A. Burov} and \textit{V. I. Nikonov}, Mech. Solids 58, No. 3, 748--753 (2023; Zbl 07713811); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 3, 156--165 (2023)
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Kibkalo, V. A.

Parabolicity of degenerate singularities in axisymmetric Euler systems with a gyrostat. (English. Russian original) Zbl 07711501

Mosc. Univ. Math. Bull. 78, No. 1, 28-36 (2023); translation from Vestn. Mosk. Univ., Ser. I 78, No. 1, 25-32 (2023).
MSC:  37J35 37J37 37J25 37C20 70E17 70H06
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\textit{V. A. Kibkalo}, Mosc. Univ. Math. Bull. 78, No. 1, 28--36 (2023; Zbl 07711501); translation from Vestn. Mosk. Univ., Ser. I 78, No. 1, 25--32 (2023)
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Nikonova, E. A.

Isosceles tetrahedron and an equimomental system of a rigid body. (English. Russian original) Zbl 1519.70006

Vestn. St. Petersbg. Univ., Math. 56, No. 1, 119-124 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 1, 156-165 (2023).
MSC:  70E15 70F15 70-08
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\textit{E. A. Nikonova}, Vestn. St. Petersbg. Univ., Math. 56, No. 1, 119--124 (2023; Zbl 1519.70006); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 1, 156--165 (2023)
Full Text: DOI
Burov, A. A.; Nikonov, V. I.

Relative equilibria of a heavy point on a uniformly rotating inclined plane. (English. Russian original) Zbl 1521.70007

Mech. Solids 58, No. 1, 131-139 (2023); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 1, 156-165 (2023).
MSC:  70E18 70F40
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\textit{A. A. Burov} and \textit{V. I. Nikonov}, Mech. Solids 58, No. 1, 131--139 (2023; Zbl 1521.70007); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 1, 156--165 (2023)
Full Text: DOI
Slyusarchuk, V. Yu.

Dynamics of two bodies with trajectories on a fixed straight line with regard for the finite speed of gravity. (English. Ukrainian original) Zbl 07672097

J. Math. Sci., New York 270, No. 2, 353-384 (2023); translation from Neliniĭni Kolyvannya 24, No. 2, 249-277 (2021).
MSC:  70F05 70F15
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\textit{V. Yu. Slyusarchuk}, J. Math. Sci., New York 270, No. 2, 353--384 (2023; Zbl 07672097); translation from Neliniĭni Kolyvannya 24, No. 2, 249--277 (2021)
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Dmitriev, N. N.

On the motion of an axisymmetric rigid body supported at a horizontal plane under conditions of orthotropic, dynamically consistent friction. (English. Russian original) Zbl 07672747

Mech. Solids 57, No. 8, 2088-2103 (2022); translation from Prikl. Mat. Mekh. 86, No. 5, 666-684 (2022).
MSC:  70E18 70F40
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\textit{N. N. Dmitriev}, Mech. Solids 57, No. 8, 2088--2103 (2022; Zbl 07672747); translation from Prikl. Mat. Mekh. 86, No. 5, 666--684 (2022)
Full Text: DOI
Konosevich, B. I.; Konosevich, Yu. B.

Gyrostat with an electric motor: a mathematical model and stationary motions. (English. Russian original) Zbl 1517.70004

Mech. Solids 57, No. 8, 1830-1847 (2022); translation from Prikl. Mat. Mekh. 86, No. 6, 814-838 (2022).
MSC:  70E05 70E17 70-10
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\textit{B. I. Konosevich} and \textit{Yu. B. Konosevich}, Mech. Solids 57, No. 8, 1830--1847 (2022; Zbl 1517.70004); translation from Prikl. Mat. Mekh. 86, No. 6, 814--838 (2022)
Full Text: DOI
Belichenko, M. V.

On the orbital stability of pendulum-type motions in the approximate problem of Kovalevskaya top dynamics with a vibrating suspension point. (English. Russian original) Zbl 07672706

Mech. Solids 57, No. 7, 1607-1619 (2022); translation from Prikl. Mat. Mekh. 86, No. 2, 169-185 (2022).
MSC:  70E50 70E17
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\textit{M. V. Belichenko}, Mech. Solids 57, No. 7, 1607--1619 (2022; Zbl 07672706); translation from Prikl. Mat. Mekh. 86, No. 2, 169--185 (2022)
Full Text: DOI
Nikonova, E. A.

Stationary motions of a close to regular isosceles tetrahedron with a fixed point in the central Newtonian force field. (English. Russian original) Zbl 07672595

Mech. Solids 57, No. 5, 1059-1067 (2022); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2022, No. 5, 120-129 (2022).
MSC:  70E17 70E50 70M20
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\textit{E. A. Nikonova}, Mech. Solids 57, No. 5, 1059--1067 (2022; Zbl 07672595); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2022, No. 5, 120--129 (2022)
Full Text: DOI
Irtegov, V. D.; Titorenko, T. N.

On the qualitative analysis of the equations of motion of a rigid body in a magnetic field. (Russian. English summary) Zbl 1515.70006

Sib. Zh. Ind. Mat. 25, No. 1, 54-66 (2022); translation in J. Appl. Ind. Math. 16, No. 1, 58-69 (2022).
MSC:  70E17 70-08 78A55
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\textit{V. D. Irtegov} and \textit{T. N. Titorenko}, Sib. Zh. Ind. Mat. 25, No. 1, 54--66 (2022; Zbl 1515.70006); translation in J. Appl. Ind. Math. 16, No. 1, 58--69 (2022)
Full Text: DOI MNR
Burov, A. A.; Nikonov, V. I.

On the approximation of a nearly dynamically symmetric rigid body by two balls. (English. Russian original) Zbl 1506.70006

Comput. Math. Math. Phys. 62, No. 12, 2154-2160 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 12, 2105-2111 (2022).
MSC:  70E15 70F15
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\textit{A. A. Burov} and \textit{V. I. Nikonov}, Comput. Math. Math. Phys. 62, No. 12, 2154--2160 (2022; Zbl 1506.70006); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 12, 2105--2111 (2022)
Full Text: DOI
Kuleshov, A. S.; Gadzhiev, M. M.

Problem of motion of a rigid body with a fixed point in a particle flow. (English. Russian original) Zbl 1504.70008

Vestn. St. Petersbg. Univ., Math. 55, No. 3, 353-360 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 3, 552-562 (2022).
MSC:  70E17 70F35
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\textit{A. S. Kuleshov} and \textit{M. M. Gadzhiev}, Vestn. St. Petersbg. Univ., Math. 55, No. 3, 353--360 (2022; Zbl 1504.70008); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 3, 552--562 (2022)
Full Text: DOI
Gadzhiev, M. M.; Kuleshov, A. S.

On the motion of a rigid body with a fixed point in a flow of particles. (English. Russian original) Zbl 1500.70010

Mosc. Univ. Mech. Bull. 77, No. 3, 75-86 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 3, 58-68 (2022).
MSC:  70E17
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\textit{M. M. Gadzhiev} and \textit{A. S. Kuleshov}, Mosc. Univ. Mech. Bull. 77, No. 3, 75--86 (2022; Zbl 1500.70010); translation from Vestn. Mosk. Univ., Ser. I 77, No. 3, 58--68 (2022)
Full Text: DOI
Proshkin, V. A.; Chura, A. S.

Pulsed control of a dangerous asteroid in the domain of \(1:1\) resonance. (English. Russian original) Zbl 1500.70017

Mosc. Univ. Mech. Bull. 77, No. 2, 53-59 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 2, 52-58 (2022).
MSC:  70M20 70F07
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\textit{V. A. Proshkin} and \textit{A. S. Chura}, Mosc. Univ. Mech. Bull. 77, No. 2, 53--59 (2022; Zbl 1500.70017); translation from Vestn. Mosk. Univ., Ser. I 77, No. 2, 52--58 (2022)
Full Text: DOI
Bardin, B. S.; Panev, A. S.

On translational rectilinear motion of a rigid body carrying a movable inner mass. (English. Russian original) Zbl 1506.70012

J. Math. Sci., New York 265, No. 5, 728-762 (2022); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 4, 557-592 (2019).
MSC:  70E99 70F40
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\textit{B. S. Bardin} and \textit{A. S. Panev}, J. Math. Sci., New York 265, No. 5, 728--762 (2022; Zbl 1506.70012); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 4, 557--592 (2019)
Full Text: DOI
Kuleshov, A. S.; Pikunova, E. N.

Analytical research of the Hopf bifurcation in the problem of motion of the rattleback. (English. Russian original) Zbl 1500.70011

Vestn. St. Petersbg. Univ., Math. 55, No. 2, 203-211 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 306-317 (2022).
MSC:  70E18
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\textit{A. S. Kuleshov} and \textit{E. N. Pikunova}, Vestn. St. Petersbg. Univ., Math. 55, No. 2, 203--211 (2022; Zbl 1500.70011); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 306--317 (2022)
Full Text: DOI
Mikishanina, E. A.

Rolling motion dynamics of a spherical robot with a pendulum actuator controlled by the Bilimovich servo-constraint. (English. Russian original) Zbl 1515.70008

Theor. Math. Phys. 211, No. 2, 679-691 (2022); translation from Teor. Mat. Fiz. 211, No. 2, 281-294 (2022).
MSC:  70E60 70E18 70Q05 70B15
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\textit{E. A. Mikishanina}, Theor. Math. Phys. 211, No. 2, 679--691 (2022; Zbl 1515.70008); translation from Teor. Mat. Fiz. 211, No. 2, 281--294 (2022)
Full Text: DOI
Hedrih (Stevanović), Katica R.

Rolling heavy ball over the surface with arbitrary shape in real Rn3 space. (English) Zbl 1490.70021

Awrejcewicz, Jan (ed.), Perspectives in dynamical systems I: mechatronics and life sciences. Selected papers based on the presentations at the 15th international conference on dynamical systems – theory and applications, DSTA, Łódź, Poland, December 2–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 362, 253-266 (2022).
MSC:  70E18
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\textit{K. R. Hedrih (Stevanović)}, Springer Proc. Math. Stat. 362, 253--266 (2022; Zbl 1490.70021)
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