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Found 484 Documents (Results 1–100)

Stability of stationary motions of mechanical systems with a particular Goryachev-Chaplygin integral. (English. Russian original) Zbl 1528.70007

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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Force evolutionary billiards and billiard equivalence of the Euler and Lagrange cases. (English. Russian original) Zbl 1482.37060

Dokl. Math. 103, No. 1, 1-4 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 5-8 (2021).
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Implementation of linear springs and dampers in a newmark second order direct integration method for 2D multibody dynamics. (English) Zbl 1493.70030

Kecskeméthy, Andrés (ed.) et al., Multibody dynamics 2019. Proceedings of the 9th ECCOMAS thematic conference on multibody dynamics, University of Duisburg-Essen, Duisburg, Germany, July 15–18, 2019. Cham: Springer. Comput. Methods Appl. Sci. 53, 323-331 (2020).
MSC:  70E55 70E40
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Alternative integration schemes for constrained mechanical systems. (English) Zbl 1493.70018

Kecskeméthy, Andrés (ed.) et al., Multibody dynamics 2019. Proceedings of the 9th ECCOMAS thematic conference on multibody dynamics, University of Duisburg-Essen, Duisburg, Germany, July 15–18, 2019. Cham: Springer. Comput. Methods Appl. Sci. 53, 315-322 (2020).
MSC:  70E40
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The rigid body dynamics in an ideal fluid: Clebsch top and Kummer surfaces. (English) Zbl 1483.37075

Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 288-312 (2020).
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On the existence of focus singularities in one model of a Lagrange top with a vibrating suspension point. (English. Russian original) Zbl 1482.37054

Dokl. Math. 102, No. 3, 468-471 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 26-30 (2020).
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Noncompactness property of fibers and singularities of non-Euclidean Kovalevskaya system on pencil of Lie algebras. (English. Russian original) Zbl 1468.37048

Mosc. Univ. Math. Bull. 75, No. 6, 263-267 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 6, 56-59 (2020).
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The Liouville foliation of the billiard book modelling the Goryachev-Chaplygin case. (English. Russian original) Zbl 1448.37067

Mosc. Univ. Math. Bull. 75, No. 1, 42-46 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 1, 64-68 (2020).
MSC:  37J35 37J39 70E40
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Melnikov functions in the rigid body dynamics. (English) Zbl 1447.37058

Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 75-82 (2019).
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Reducing the degree of integrals of Hamiltonian systems by using billiards. (English. Russian original) Zbl 1423.37055

Dokl. Math. 99, No. 3, 266-269 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 2, 151-155 (2019).
MSC:  37J35 37D50 70E40
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Bifurcations of Liouville tori in a system of two vortices of positive intensity in a Bose-Einstein condensate. (English. Russian original) Zbl 1416.37052

Dokl. Math. 99, No. 2, 225-229 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 670-675 (2019).
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New examples of integrable systems with dissipation on the tangent bundles of multidimensional spheres. (English. Russian original) Zbl 1471.70005

J. Math. Sci., New York 236, No. 6, 687-701 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 137, 104-117 (2017).
MSC:  70E40 37E10 37N05
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Existence of Liouvillian solutions in the problem of rolling motion of a dynamically symmetric ball on a perfectly rough sphere. (English. Russian original) Zbl 1455.70004

Vestn. St. Petersbg. Univ., Math. 51, No. 4, 407-412 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 4, 670-677 (2018).
MSC:  70E18 70E40
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Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems. (English. Russian original) Zbl 1408.37098

Sb. Math. 209, No. 12, 1690-1727 (2018); translation from Mat. Sb. 209, No. 12, 17-56 (2018).
MSC:  37J35 37G10 37J20 70E40 37J05
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Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications. (English. Russian original) Zbl 1416.70009

J. Math. Sci., New York 230, No. 2, 185-353 (2018); translation from Fundam. Prikl. Mat. 20, No. 4, 3-231 (2015).
MSC:  70E45 70E40 37J05
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The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere. (English. Russian original) Zbl 1404.37071

J. Math. Sci., New York 228, No. 6, 723-730 (2018); translation from Probl. Mat. Anal. 90, 107-113 (2018).
MSC:  37J35 70E40 70E45
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Topological atlas of the Kovalevskaya top in a double field. (English. Russian original) Zbl 1384.37072

J. Math. Sci., New York 223, No. 6, 775-809 (2017); translation from Fundam. Prikl. Mat. 20, No. 2, 185-230 (2015).
MSC:  37J35 70E40 37J05 70H06
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On the completeness of the Manakov integrals. (English. Russian original) Zbl 1404.37068

J. Math. Sci., New York 223, No. 6, 675-685 (2017); translation from Fundam. Prikl. Mat. 20, No. 2, 35-49 (2015).
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Integrable topological billiards and equivalent dynamical systems. (English. Russian original) Zbl 1380.37078

Izv. Math. 81, No. 4, 688-733 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 4, 20-67 (2017).
MSC:  37D50 37J35 70E40
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