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Found 112 Documents (Results 1–100)

On a class of quadratic conservation laws for Newton equations in Euclidean space. (English. Russian original) Zbl 1521.37075

Theor. Math. Phys. 216, No. 2, 1209-1237 (2023); translation from Teor. Mat. Fiz. 216, No. 2, 350-382 (2023).
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Influence of Bartnett-London and Einstein-de Haas effects on the motion of the nonholonomic sphere of Routh. (Russian. English summary) Zbl 1479.37067

MSC:  37J60 70F25 74F15
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On auto and hetero Bäcklund transformations for the Hénon-Heiles systems. (English) Zbl 1377.37101

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 18th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 3–8, 2016. Sofia: Avangard Prima. Geometry, Integrability and Quantization, 241-251 (2017).
MSC:  37K10 58J72 70H06
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Abel’s theorem and Bäcklund transformations for the Hamilton-Jacobi equations. (English. Russian original) Zbl 1377.37087

Proc. Steklov Inst. Math. 295, 243-273 (2016); translation from Tr. Mat. Inst. Steklova 295, 261-291 (2016).
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Separation of variables for some systems with a fourth-order integral of motion. (English. Russian original) Zbl 1297.70005

Theor. Math. Phys. 177, No. 3, 1680-1692 (2013); translation from Teor. Mat. Fiz. 177, No. 3, 468-481 (2013).
MSC:  70F05
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On the bi-Hamiltonian structure of the Goryachev system on the sphere. (English. Russian original) Zbl 1181.37102

Dokl. Math. 79, No. 3, 430-433 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 426, No. 6, 740-743 (2009).
MSC:  37K10 70H20 70H06
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On isomorphism of integrable cases of the Euler equations on the bi-Hamiltonian manifolds \(e(3)\) and \(\text{so}(4)\). (Russian. English summary) Zbl 1136.37347

Zap. Nauchn. Semin. POMI 317, 200-212 (2004); translation in J. Math. Sci., New York 136, No. 1, 3641-3647 (2006).
MSC:  37J35 70E40 70H06
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Commutative Poisson subalgebras for Sklyanin brackets and deformations of some known integrable models. (English. Russian original) Zbl 1067.37076

Theor. Math. Phys. 133, No. 3, 1730-1743 (2002); translation from Teor. Mat. Fiz. 133, No. 3, 485-500 (2002).
MSC:  37J35 17B63 53D17 37J15 70H06 37K10
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