Shamolin, M. V. Motion of a rigid body with frontal cone in a resistive medium: qualitative analysis and integrability. (English. Russian original) Zbl 1524.70048 J. Math. Sci., New York 272, No. 5, 703-728 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 83-108 (2020). MSC: 70G60 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 272, No. 5, 703--728 (2023; Zbl 1524.70048); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 83--108 (2020) Full Text: DOI
Shamolin, M. V. Dissipative systems: relative roughness, nonroughness of various degrees, and integrability. (English. Russian original) Zbl 1524.70047 J. Math. Sci., New York 272, No. 5, 690-702 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 70-82 (2020). MSC: 70G60 37N05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 272, No. 5, 690--702 (2023; Zbl 1524.70047); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 70--82 (2020) Full Text: DOI
Shamolin, M. V. Odd-order integrable dynamical systems with dissipation. (English. Russian original) Zbl 1519.70016 J. Math. Sci., New York 272, No. 5, 672-689 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 52-69 (2020). MSC: 70G60 70H06 37J35 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 272, No. 5, 672--689 (2023; Zbl 1519.70016); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 52--69 (2020) Full Text: DOI
Polyakov, N. L.; Shamolin, M. V. Reduction theorems in the social choice theory. (English. Russian original) Zbl 1518.91071 J. Math. Sci., New York 272, No. 5, 667-671 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 46-51 (2020). MSC: 91B14 PDFBibTeX XMLCite \textit{N. L. Polyakov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 272, No. 5, 667--671 (2023; Zbl 1518.91071); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 46--51 (2020) Full Text: DOI
Georgievskii, D. V.; Shamolin, M. V. Sessions of the workshop of the mathematics and mechanics department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. (English. Russian original) Zbl 1523.37003 J. Math. Sci., New York 272, No. 5, 625-633 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 3-11 (2020). MSC: 37-06 00A27 PDFBibTeX XMLCite \textit{D. V. Georgievskii} and \textit{M. V. Shamolin}, J. Math. Sci., New York 272, No. 5, 625--633 (2023; Zbl 1523.37003); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 3--11 (2020) Full Text: DOI
Shamolin, M. V.; Krugova, E. P. Diagnostic problem for a model of a gyrostabilized platform. (English. Russian original) Zbl 1473.70010 J. Math. Sci., New York 257, No. 1, 138-142 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 160, 137-141 (2019). MSC: 70E05 PDFBibTeX XMLCite \textit{M. V. Shamolin} and \textit{E. P. Krugova}, J. Math. Sci., New York 257, No. 1, 138--142 (2021; Zbl 1473.70010); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 160, 137--141 (2019) Full Text: DOI
Shamolin, M. V. Integrable homogeneous dissipative dynamical systems of an arbitrary odd order. (English. Russian original) Zbl 1456.37058 J. Math. Sci., New York 251, No. 5, 760-771 (2020); translation from Probl. Mat. Anal. 106, 179-189 (2020). MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 251, No. 5, 760--771 (2020; Zbl 1456.37058); translation from Probl. Mat. Anal. 106, 179--189 (2020) Full Text: DOI
Shamolin, M. V. Problems of qualitative analysis in the spatial dynamics of rigid bodies interacting with media. (English. Russian original) Zbl 1471.70015 J. Math. Sci., New York 250, No. 6, 984-996 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 130-142 (2018). MSC: 70G60 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 250, No. 6, 984--996 (2020; Zbl 1471.70015); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 130--142 (2018) Full Text: DOI
Shamolin, M. V. Examples of integrable systems with dissipation on the tangent bundles of four-dimensional manifolds. (English. Russian original) Zbl 1471.70014 J. Math. Sci., New York 250, No. 6, 973-983 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 119-129 (2018). MSC: 70G60 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 250, No. 6, 973--983 (2020; Zbl 1471.70014); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 119--129 (2018) Full Text: DOI
Shamolin, M. V. Examples of integrable systems with dissipation on the tangent bundles of three-dimensional manifolds. (English. Russian original) Zbl 1471.70013 J. Math. Sci., New York 250, No. 6, 964-972 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 110-118 (2018). MSC: 70G60 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 250, No. 6, 964--972 (2020; Zbl 1471.70013); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 110--118 (2018) Full Text: DOI
Shamolin, M. V. Solution of the diagnostic problem in the cases of precise and inaccurate trajectory measurements. (English. Russian original) Zbl 1451.62163 J. Math. Sci., New York 250, No. 6, 942-963 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 88-109 (2018). MSC: 62P30 62J20 62G05 68U01 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 250, No. 6, 942--963 (2020; Zbl 1451.62163); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 88--109 (2018) Full Text: DOI
Shamolin, M. V. Examples of integrable systems with dissipation on the tangent bundles of multidimensional spheres. (English. Russian original) Zbl 1471.70012 J. Math. Sci., New York 250, No. 6, 932-941 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 78-87 (2018). MSC: 70G60 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 250, No. 6, 932--941 (2020; Zbl 1471.70012); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 78--87 (2018) Full Text: DOI
Georgievsky, D. V.; Shamolin, M. V. Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. (English. Russian original) Zbl 1452.00015 J. Math. Sci., New York 250, No. 6, 859-880 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 3-25 (2018). MSC: 00B05 PDFBibTeX XMLCite \textit{D. V. Georgievsky} and \textit{M. V. Shamolin}, J. Math. Sci., New York 250, No. 6, 859--880 (2020; Zbl 1452.00015); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 3--25 (2018) Full Text: DOI
Shamolin, M. V. Integrable systems with dissipation on the tangent bundles of 2- and 3-dimensional spheres. (English. Russian original) Zbl 1455.70010 J. Math. Sci., New York 245, No. 4, 498-507 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 145, 86-94 (2018). MSC: 70G60 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 245, No. 4, 498--507 (2020; Zbl 1455.70010); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 145, 86--94 (2018) Full Text: DOI
Shamolin, M. V. Integrable seventh and ninth order dynamic systems with dissipation. (English. Russian original) Zbl 1445.37041 J. Math. Sci., New York 244, No. 4, 686-702 (2020); translation from Probl. Mat. Anal. 101, 131-145 (2019). MSC: 37J35 37J39 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 244, No. 4, 686--702 (2020; Zbl 1445.37041); translation from Probl. Mat. Anal. 101, 131--145 (2019) Full Text: DOI
Shamolin, M. V. Integrable dynamical systems with dissipation on tangent bundles of 2D and 3D manifolds. (English. Russian original) Zbl 1471.70011 J. Math. Sci., New York 244, No. 2, 335-355 (2020); translation from Tr. Semin. Im. I. G. Petrovskogo 32, 349-382 (2019). MSC: 70G60 37J39 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 244, No. 2, 335--355 (2020; Zbl 1471.70011); translation from Tr. Semin. Im. I. G. Petrovskogo 32, 349--382 (2019) Full Text: DOI
Polyakov, N. L.; Shamolin, M. V. On dynamic aggregation systems. (English. Russian original) Zbl 1435.91084 J. Math. Sci., New York 244, No. 2, 278-293 (2020); translation from Tr. Semin. Im. I. G. Petrovskogo 32, 257-282 (2019). MSC: 91B14 91B08 PDFBibTeX XMLCite \textit{N. L. Polyakov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 244, No. 2, 278--293 (2020; Zbl 1435.91084); translation from Tr. Semin. Im. I. G. Petrovskogo 32, 257--282 (2019) Full Text: DOI
Shamolin, M. V. Relative structural stability and instability of different degrees in systems with dissipation. (English. Russian original) Zbl 1416.37031 J. Math. Sci., New York 239, No. 3, 424-435 (2019); translation from Probl. Mat. Anal. 97, 167-178 (2019). MSC: 37C75 70E50 70E20 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 239, No. 3, 424--435 (2019; Zbl 1416.37031); translation from Probl. Mat. Anal. 97, 167--178 (2019) Full Text: DOI
Shamolin, M. V. Integrable third and fifth order dynamical systems with dissipation. (English. Russian original) Zbl 1416.37056 J. Math. Sci., New York 239, No. 3, 412-423 (2019); translation from Probl. Mat. Anal. 97, 155-165 (2019). MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 239, No. 3, 412--423 (2019; Zbl 1416.37056); translation from Probl. Mat. Anal. 97, 155--165 (2019) Full Text: DOI
Shamolin, M. V. 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 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 236, No. 6, 687--701 (2019; Zbl 1471.70005); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 137, 104--117 (2017) Full Text: DOI
Shamolin, M. V. Integrable dynamic systems with dissipation and finitely many degrees of freedom. (English. Russian original) Zbl 1403.37069 J. Math. Sci., New York 235, No. 3, 334-359 (2018); translation from Probl. Mat. Anal. 95, 79-101 (2018). MSC: 37J35 70G45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 235, No. 3, 334--359 (2018; Zbl 1403.37069); translation from Probl. Mat. Anal. 95, 79--101 (2018) Full Text: DOI
Shamolin, M. V. Integrable systems with dissipation and two and three degrees of freedom. (English. Russian original) Zbl 1403.37068 J. Math. Sci., New York 235, No. 2, 220-242 (2018); translation from Probl. Mat. Anal. 94, 91-109 (2018). MSC: 37J35 70G45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 235, No. 2, 220--242 (2018; Zbl 1403.37068); translation from Probl. Mat. Anal. 94, 91--109 (2018) Full Text: DOI
Shamolin, M. V. Integrable systems on the tangent bundle of a multi-dimensional sphere. (English. Russian original) Zbl 1446.70015 J. Math. Sci., New York 234, No. 4, 548-590 (2018); translation from Tr. Semin. Im. I. G. Petrovskogo 31, 257-323 (2016). MSC: 70E40 37N20 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 234, No. 4, 548--590 (2018; Zbl 1446.70015); translation from Tr. Semin. Im. I. G. Petrovskogo 31, 257--323 (2016) Full Text: DOI
Shamolin, M. V. Phase portraits of dynamical equations of motion of a rigid body in a resistive medium. (English. Russian original) Zbl 1423.70015 J. Math. Sci., New York 233, No. 3, 398-425 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 135 (2017). MSC: 70E15 70K05 34D20 37N20 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 233, No. 3, 398--425 (2018; Zbl 1423.70015); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 135 (2017) Full Text: DOI
Shamolin, M. V. Low-dimensional and multidimensional pendulums in nonconservative fields. II. (English. Russian original) Zbl 1423.70020 J. Math. Sci., New York 233, No. 3, 301-397 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 135 (2017). MSC: 70E17 70-02 37E10 37N05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 233, No. 3, 301--397 (2018; Zbl 1423.70020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 135 (2017) Full Text: DOI
Shamolin, M. V. Low-dimensional and multidimensional pendulums in nonconservative fields. I. (English. Russian original) Zbl 1423.70019 J. Math. Sci., New York 233, No. 2, 173-299 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 134 (2017). MSC: 70E17 70-02 37E10 37N05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 233, No. 2, 173--299 (2018; Zbl 1423.70019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 134 (2017) Full Text: DOI
Shamolin, M. V. 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). Reviewer: Vladimir Sobolev (Samara) MSC: 70E45 70E40 37J05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 230, No. 2, 185--353 (2018; Zbl 1416.70009); translation from Fundam. Prikl. Mat. 20, No. 4, 3--231 (2015) Full Text: DOI
Shamolin, M. V. 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). Reviewer: Teodor Atanacković (Novi Sad) MSC: 37J35 70E40 70E45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 228, No. 6, 723--730 (2018; Zbl 1404.37071); translation from Probl. Mat. Anal. 90, 107--113 (2018) Full Text: DOI
Lokshin, B. Ya.; Samsonov, V. A.; Shamolin, M. V. Pendulum systems with dynamical symmetry. (English. Russian original) Zbl 1405.70005 J. Math. Sci., New York 227, No. 4, 461-519 (2017); translation from Sovrem. Mat. Prilozh. 100 (2016). MSC: 70E17 70K05 70K55 34C05 34C23 37N05 PDFBibTeX XMLCite \textit{B. Ya. Lokshin} et al., J. Math. Sci., New York 227, No. 4, 461--519 (2017; Zbl 1405.70005); translation from Sovrem. Mat. Prilozh. 100 (2016) Full Text: DOI
Shamolin, M. V. Transcendental first integrals of dynamical systems on the tangent bundle to the sphere. (English. Russian original) Zbl 1408.34002 J. Math. Sci., New York 227, No. 4, 442-460 (2017); translation from Sovrem. Mat. Prilozh. 100 (2016). MSC: 34A05 34C14 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 227, No. 4, 442--460 (2017; Zbl 1408.34002); translation from Sovrem. Mat. Prilozh. 100 (2016) Full Text: DOI
Shamolin, M. V. Integrable motions of a pendulum in a two-dimensional plane. (English. Russian original) Zbl 1405.70006 J. Math. Sci., New York 227, No. 4, 419-441 (2017); translation from Sovrem. Mat. Prilozh. 100 (2016). MSC: 70E40 70E17 37N05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 227, No. 4, 419--441 (2017; Zbl 1405.70006); translation from Sovrem. Mat. Prilozh. 100 (2016) Full Text: DOI
Aidagulov, R. R.; Shamolin, M. V. Fast matrix multiplication by using color algebras. (English. Russian original) Zbl 1380.15021 J. Math. Sci., New York 227, No. 4, 402-406 (2017); translation from Sovrem. Mat. Prilozh. 100 (2016). MSC: 15A69 16Z05 65T50 PDFBibTeX XMLCite \textit{R. R. Aidagulov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 227, No. 4, 402--406 (2017; Zbl 1380.15021); translation from Sovrem. Mat. Prilozh. 100 (2016) Full Text: DOI
Georgievskii, D. V. (ed.); Shamolin, M. V. (ed.) Sessions of the workshop of the mathematics and mechanics department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. (English. Russian original) Zbl 1381.00023 J. Math. Sci., New York 227, No. 4, 387-394 (2017); translation from Sovrem. Mat. Prilozh. 100 (2016). MSC: 00B05 PDFBibTeX XMLCite \textit{D. V. Georgievskii} (ed.) and \textit{M. V. Shamolin} (ed.), J. Math. Sci., New York 227, No. 4, 387--394 (2017; Zbl 1381.00023); translation from Sovrem. Mat. Prilozh. 100 (2016) Full Text: DOI
Shamolin, M. V. Some problems of qualitative analysis in the modeling of the motion of rigid bodies in resistive media. (English. Russian original) Zbl 1412.70004 J. Math. Sci., New York 221, No. 2, 260-296 (2017); translation from Sovrem. Mat. Prilozh. 98 (2015). MSC: 70E15 37C75 37N05 74F10 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 221, No. 2, 260--296 (2017; Zbl 1412.70004); translation from Sovrem. Mat. Prilozh. 98 (2015) Full Text: DOI
Shamolin, M. V. New cases of integrability of equations of motion of a rigid body in the \(n\)-dimensional space. (English. Russian original) Zbl 1412.70009 J. Math. Sci., New York 221, No. 2, 205-259 (2017); translation from Sovrem. Mat. Prilozh. 98 (2015). MSC: 70E40 70E45 70H06 37J35 37N05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 221, No. 2, 205--259 (2017; Zbl 1412.70009); translation from Sovrem. Mat. Prilozh. 98 (2015) Full Text: DOI
Andreev, A. V.; Shamolin, M. V. Methods of mathematical modeling of the action of a medium on a conical body. (English. Russian original) Zbl 1412.70003 J. Math. Sci., New York 221, No. 2, 161-168 (2017); translation from Sovrem. Mat. Prilozh. 98 (2015). MSC: 70E15 76M99 PDFBibTeX XMLCite \textit{A. V. Andreev} and \textit{M. V. Shamolin}, J. Math. Sci., New York 221, No. 2, 161--168 (2017; Zbl 1412.70003); translation from Sovrem. Mat. Prilozh. 98 (2015) Full Text: DOI
Georgievskii, D. V.; Shamolin, M. V. Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. (English. Russian original) Zbl 1364.00029 J. Math. Sci., New York 221, No. 2, 155-160 (2017); translation from Sovrem. Mat. Prilozh. 98 (2015). MSC: 00B05 PDFBibTeX XMLCite \textit{D. V. Georgievskii} and \textit{M. V. Shamolin}, J. Math. Sci., New York 221, No. 2, 155--160 (2017; Zbl 1364.00029); translation from Sovrem. Mat. Prilozh. 98 (2015) Full Text: DOI
Shamolin, M. V. Integrable systems with variable dissipation on the tangent bundle of a sphere. (English. Russian original) Zbl 1353.70022 J. Math. Sci., New York 219, No. 2, 321-335 (2016); translation from Probl. Mat. Anal. 86, 139-151 (2016). MSC: 70E40 37J35 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 219, No. 2, 321--335 (2016; Zbl 1353.70022); translation from Probl. Mat. Anal. 86, 139--151 (2016) Full Text: DOI
Shamolin, M. V. Integrable cases in the dynamics of a multi-dimensional rigid body in a nonconservative field in the presence of a tracking force. (English. Russian original) Zbl 1353.70021 J. Math. Sci., New York 214, No. 6, 865-891 (2016); translation from Fundam. Prikl. Mat. 19, No. 3, 187-222 (2014). MSC: 70E40 37J30 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 214, No. 6, 865--891 (2016; Zbl 1353.70021); translation from Fundam. Prikl. Mat. 19, No. 3, 187--222 (2014) Full Text: DOI
Shamolin, M. V. Classification of integrable cases in the dynamics of a four-dimensional rigid body in a nonconservative field in the presence of a tracking force. (English. Russian original) Zbl 1346.70007 J. Math. Sci., New York 204, No. 6, 808-870 (2015); translation from Sovrem. Mat. Prilozh. 88 (2013). Reviewer: Teodor Atanacković (Novi Sad) MSC: 70E45 70E40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 204, No. 6, 808--870 (2015; Zbl 1346.70007); translation from Sovrem. Mat. Prilozh. 88 (2013) Full Text: DOI
Okunev, Yu. M.; Shamolin, M. V. On the construction of the general solution of a class of complex nonautonomous equations. (English. Russian original) Zbl 1354.34029 J. Math. Sci., New York 204, No. 6, 787-799 (2015); translation from Sovrem. Mat. Prilozh. 88 (2013). MSC: 34A30 34E05 37J35 70H06 PDFBibTeX XMLCite \textit{Yu. M. Okunev} and \textit{M. V. Shamolin}, J. Math. Sci., New York 204, No. 6, 787--799 (2015; Zbl 1354.34029); translation from Sovrem. Mat. Prilozh. 88 (2013) Full Text: DOI
Aĭdagulov, R. R.; Shamolin, M. V. Topology on polynumbers and fractals. (English. Russian original) Zbl 1359.37106 J. Math. Sci., New York 204, No. 6, 760-771 (2015); translation from Sovrem. Mat. Prilozh. 88 (2013). Reviewer: Nicoleta Aldea (Brasov) MSC: 37F50 30D05 PDFBibTeX XMLCite \textit{R. R. Aĭdagulov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 204, No. 6, 760--771 (2015; Zbl 1359.37106); translation from Sovrem. Mat. Prilozh. 88 (2013) Full Text: DOI
Aidagulov, R. R.; Shamolin, M. V. Polynumbers, norms, metrics, and polyingles. (English. Russian original) Zbl 1341.53046 J. Math. Sci., New York 204, No. 6, 742-759 (2015); translation from Sovrem. Mat. Prilozh. 88 (2013). Reviewer: Nicoleta Aldea (Brasov) MSC: 53B40 53C60 51P05 83A05 26C05 PDFBibTeX XMLCite \textit{R. R. Aidagulov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 204, No. 6, 742--759 (2015; Zbl 1341.53046); translation from Sovrem. Mat. Prilozh. 88 (2013) Full Text: DOI
Aidagulov, R. R.; Shamolin, M. V. Finsler spaces, bingles, polyingles, and their symmetry groups. (English. Russian original) Zbl 1341.53109 J. Math. Sci., New York 204, No. 6, 732-741 (2015); translation from Sovrem. Mat. Prilozh. 88 (2013). Reviewer: Nicoleta Aldea (Brasov) MSC: 53C60 53C26 51P05 26C05 PDFBibTeX XMLCite \textit{R. R. Aidagulov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 204, No. 6, 732--741 (2015; Zbl 1341.53109); translation from Sovrem. Mat. Prilozh. 88 (2013) Full Text: DOI
Georgievskii, D. V.; Shamolin, M. V. Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. (English. Russian original) Zbl 1325.00038 J. Math. Sci., New York 204, No. 6, 715-731 (2015); translation from Sovrem. Mat. Prilozh. 88 (2013). MSC: 00B05 PDFBibTeX XMLCite \textit{D. V. Georgievskii} and \textit{M. V. Shamolin}, J. Math. Sci., New York 204, No. 6, 715--731 (2015; Zbl 1325.00038); translation from Sovrem. Mat. Prilozh. 88 (2013) Full Text: DOI
Shamolin, M. V. Some classes of integrable problems in spatial dynamics of a rigid body in a nonconservative force field. (English. Russian original) Zbl 1353.70020 J. Math. Sci., New York 210, No. 3, 292-330 (2015); translation from Tr. Semin. Im. I. G. Petrovskogo 30, No. 2, 287-350 (2014). MSC: 70E40 70E45 70H06 17B80 37J35 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 210, No. 3, 292--330 (2015; Zbl 1353.70020); translation from Tr. Semin. Im. I. G. Petrovskogo 30, No. 2, 287--350 (2014) Full Text: DOI
Shamolin, M. V. Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields. (English. Russian original) Zbl 1353.70019 J. Math. Sci., New York 204, No. 4, 379-530 (2015); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 125, 5-254 (2013). MSC: 70E40 37J35 37N05 70-02 37-02 70E18 70E45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 204, No. 4, 379--530 (2015; Zbl 1353.70019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 125, 5--254 (2013) Full Text: DOI
Shamolin, M. V. Some questions of qualitative theory in dynamics of systems with the variable dissipation. (English. Russian original) Zbl 1338.37028 J. Math. Sci., New York 189, No. 2, 314-323 (2013); translation from Sovrem. Mat. Prilozh. 78 (2012). MSC: 37C10 34A12 34C15 37E35 70E60 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 189, No. 2, 314--323 (2013; Zbl 1338.37028); translation from Sovrem. Mat. Prilozh. 78 (2012) Full Text: DOI
Selivanova, N. Yu.; Shamolin, M. V. Quasi-stationary Stefan problem with values on the front depending on its geometry. (English. Russian original) Zbl 1291.35402 J. Math. Sci., New York 189, No. 2, 301-310 (2013); translation from Sovrem. Mat. Prilozh. 78 (2012). MSC: 35Q79 80A22 PDFBibTeX XMLCite \textit{N. Yu. Selivanova} and \textit{M. V. Shamolin}, J. Math. Sci., New York 189, No. 2, 301--310 (2013; Zbl 1291.35402); translation from Sovrem. Mat. Prilozh. 78 (2012) Full Text: DOI
Selivanova, N. Yu.; Shamolin, M. V. Local solvability of the capillary problem. (English. Russian original) Zbl 1291.35234 J. Math. Sci., New York 189, No. 2, 294-300 (2013); translation from Sovrem. Mat. Prilozh. 78, 119-125 (2012). MSC: 35Q35 PDFBibTeX XMLCite \textit{N. Yu. Selivanova} and \textit{M. V. Shamolin}, J. Math. Sci., New York 189, No. 2, 294--300 (2013; Zbl 1291.35234); translation from Sovrem. Mat. Prilozh. 78, 119--125 (2012) Full Text: DOI
Selivanova, N. Yu.; Shamolin, M. V. Studying the interphase zone in a certain singular-limit problem. (English. Russian original) Zbl 1321.35172 J. Math. Sci., New York 189, No. 2, 284-293 (2013); translation from Sovrem. Mat. Prilozh. 78 (2012). Reviewer: Thomas Hagen (Memphis) MSC: 35Q35 35R35 35B40 80A22 PDFBibTeX XMLCite \textit{N. Yu. Selivanova} and \textit{M. V. Shamolin}, J. Math. Sci., New York 189, No. 2, 284--293 (2013; Zbl 1321.35172); translation from Sovrem. Mat. Prilozh. 78 (2012) Full Text: DOI
Selivanova, N. Yu.; Shamolin, M. V. Local solvability of a one-phase problem with free boundary. (English. Russian original) Zbl 1302.35468 J. Math. Sci., New York 189, No. 2, 274-283 (2013); translation from Sovrem. Mat. Prilozh. 78 (2012). MSC: 35R35 35J15 35A01 PDFBibTeX XMLCite \textit{N. Yu. Selivanova} and \textit{M. V. Shamolin}, J. Math. Sci., New York 189, No. 2, 274--283 (2013; Zbl 1302.35468); translation from Sovrem. Mat. Prilozh. 78 (2012) Full Text: DOI
Trofimov, V. V.; Shamolin, M. V. Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems. (English. Russian original) Zbl 1353.37121 J. Math. Sci., New York 180, No. 4, 365-530 (2012); translation from Fundam. Prikl. Mat. 16, No. 4, 3-229 (2010). MSC: 37J35 37N05 70H06 PDFBibTeX XMLCite \textit{V. V. Trofimov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 180, No. 4, 365--530 (2012; Zbl 1353.37121); translation from Fundam. Prikl. Mat. 16, No. 4, 3--229 (2010) Full Text: DOI
Shamolin, M. V. Comparison of complete integrability cases in dynamics of a two-, three-, and four-dimensional rigid body in a nonconservative field. (English. Russian original) Zbl 1277.37104 J. Math. Sci., New York 187, No. 3, 346-359 (2012); translation from Sovrem. Mat. Prilozh. 76, 84-99 (2012). Reviewer: Nenad Manojlović (Faro) MSC: 37N05 70E40 37J35 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 187, No. 3, 346--359 (2012; Zbl 1277.37104); translation from Sovrem. Mat. Prilozh. 76, 84--99 (2012) Full Text: DOI
Georgievskii, D. V.; Shamolin, M. V. Levi-Civita symbols, generalized vector products, and new integrable cases in mechanics of multidimensional bodies. (English. Russian original) Zbl 1278.70007 J. Math. Sci., New York 187, No. 3, 280-299 (2012); translation from Sovrem. Mat. Prilozh. 76 (2012). Reviewer: Nenad Manojlović (Faro) MSC: 70E40 70E45 37J35 PDFBibTeX XMLCite \textit{D. V. Georgievskii} and \textit{M. V. Shamolin}, J. Math. Sci., New York 187, No. 3, 280--299 (2012; Zbl 1278.70007); translation from Sovrem. Mat. Prilozh. 76 (2012) Full Text: DOI
Georgievskii, D. V.; Shamolin, M. V. Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. (English. Russian original) Zbl 1260.00024 J. Math. Sci., New York 187, No. 3, 269-271 (2012); translation from Sovrem. Mat. Prilozh. 76 (2012). MSC: 00B05 PDFBibTeX XMLCite \textit{D. V. Georgievskii} and \textit{M. V. Shamolin}, J. Math. Sci., New York 187, No. 3, 269--271 (2012; Zbl 1260.00024); translation from Sovrem. Mat. Prilozh. 76 (2012) Full Text: DOI
Shamolin, M. V. Classification of complete integrability cases in four-dimensional symmetric rigid-body dynamics in a nonconservative field. (English. Russian original) Zbl 1288.70001 J. Math. Sci., New York 165, No. 6, 743-754 (2010); translation from Sovrem. Mat. Prilozh. 65, 1311-141 (2009). MSC: 70E45 70E15 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 165, No. 6, 743--754 (2010; Zbl 1288.70001); translation from Sovrem. Mat. Prilozh. 65, 1311--141 (2009) Full Text: DOI
Okunev, Yu. M.; Shamolin, M. V. On integrability in elementary functions of certain classes of complex nonautonomous equations. (English. Russian original) Zbl 1288.34004 J. Math. Sci., New York 165, No. 6, 732-742 (2010); translation from Sovrem. Mat. Prilozh. 65, 121-130 (2009). MSC: 34A05 PDFBibTeX XMLCite \textit{Yu. M. Okunev} and \textit{M. V. Shamolin}, J. Math. Sci., New York 165, No. 6, 732--742 (2010; Zbl 1288.34004); translation from Sovrem. Mat. Prilozh. 65, 121--130 (2009) Full Text: DOI
Aĭdagulov, R. R.; Shamolin, M. V. Averaging operators and real equations of hydromechanics. (English. Russian original) Zbl 1288.76004 J. Math. Sci., New York 165, No. 6, 637-653 (2010); translation from Sovrem. Mat. Prilozh. 65, 31-46 (2009). MSC: 76A02 35S05 47G30 PDFBibTeX XMLCite \textit{R. R. Aĭdagulov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 165, No. 6, 637--653 (2010; Zbl 1288.76004); translation from Sovrem. Mat. Prilozh. 65, 31--46 (2009) Full Text: DOI
Aĭdagulov, R. R.; Shamolin, M. V. Pseudodifferential operators in the theory of multiphase, multi-rate flows. (English. Russian original) Zbl 1288.35493 J. Math. Sci., New York 165, No. 6, 616-636 (2010); translation from Sovrem. Mat. Prilozh. 65, 11-30 (2009). MSC: 35S05 47G30 76T30 PDFBibTeX XMLCite \textit{R. R. Aĭdagulov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 165, No. 6, 616--636 (2010; Zbl 1288.35493); translation from Sovrem. Mat. Prilozh. 65, 11--30 (2009) Full Text: DOI
Georgievskii, D. V.; Shamolin, M. V. Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Topical problems of geometry and mechanics” named after V. V. Trofimov. (English. Russian original) Zbl 1288.00055 J. Math. Sci., New York 165, No. 6, 607-615 (2010); translation from Sovrem. Mat. Prilozh. 65 (2009). MSC: 00B05 PDFBibTeX XMLCite \textit{D. V. Georgievskii} and \textit{M. V. Shamolin}, J. Math. Sci., New York 165, No. 6, 607--615 (2010; Zbl 1288.00055); translation from Sovrem. Mat. Prilozh. 65 (2009) Full Text: DOI
Shamolin, M. V. On integrability in elementary functions of certain classes of nonconservative dynamical systems. (English. Russian original) Zbl 1188.37003 J. Math. Sci., New York 161, No. 5, 734-778 (2009); translation from Sovrem. Mat. Prilozh. 62 (2009). Reviewer: Vladimir Răsvan (Craiova) MSC: 37-02 34-02 37C99 34C14 34M35 37E99 70E15 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 161, No. 5, 734--778 (2009; Zbl 1188.37003); translation from Sovrem. Mat. Prilozh. 62 (2009) Full Text: DOI
Aidagulov, R. R.; Shamolin, M. V. Groups of colors. (English. Russian original) Zbl 1214.16029 J. Math. Sci., New York 161, No. 5, 615-627 (2009); translation from Sovrem. Mat. Prilozh. 62, 14-26 (2009). MSC: 16T25 16W50 58A05 PDFBibTeX XMLCite \textit{R. R. Aidagulov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 161, No. 5, 615--627 (2009; Zbl 1214.16029); translation from Sovrem. Mat. Prilozh. 62, 14--26 (2009) Full Text: DOI
Georgievskii, D. V.; Shamolin, M. V. Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. (English. Russian original) Zbl 1180.00019 J. Math. Sci., New York 161, No. 5, 603-614 (2009); translation from Sovrem. Mat. Prilozh. 62 (2009). MSC: 00B05 PDFBibTeX XMLCite \textit{D. V. Georgievskii} and \textit{M. V. Shamolin}, J. Math. Sci., New York 161, No. 5, 603--614 (2009; Zbl 1180.00019); translation from Sovrem. Mat. Prilozh. 62 (2009) Full Text: DOI
Shamolin, M. V. Dynamical systems with variable dissipation: approaches, methods, and applications. (English. Russian original) Zbl 1189.37022 J. Math. Sci., New York 162, No. 6, 741-908 (2009); translation from Fundam. Prikl. Mat. 14, No. 3, 3-237 (2008). Reviewer: Rakib Efendiev (Baku) MSC: 37C15 34D30 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 162, No. 6, 741--908 (2009; Zbl 1189.37022); translation from Fundam. Prikl. Mat. 14, No. 3, 3--237 (2008) Full Text: DOI
Georgievskii, D. V.; Shamolin, M. V. Sessions of the workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov. (English. Russian original) Zbl 1299.01007 J. Math. Sci., New York 154, No. 4, 462-495 (2008); translation from Sovrem. Mat., Fundam. Napravl. 23, 16-45 (2007). MSC: 00B05 PDFBibTeX XMLCite \textit{D. V. Georgievskii} and \textit{M. V. Shamolin}, J. Math. Sci., New York 154, No. 4, 462--495 (2008; Zbl 1299.01007); translation from Sovrem. Mat., Fundam. Napravl. 23, 16--45 (2007) Full Text: DOI
Aidagulov, R. R.; Shamolin, M. V. Manifolds of continuous structures. (English. Russian original) Zbl 1159.58001 J. Math. Sci., New York 154, No. 4, 523-538 (2008); translation from Sovrem. Mat., Fundam. Napravl. 23, 71-86 (2007). Reviewer: Andrew Bucki (Edmond) MSC: 58A05 18A99 57R99 PDFBibTeX XMLCite \textit{R. R. Aidagulov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 154, No. 4, 523--538 (2008; Zbl 1159.58001); translation from Sovrem. Mat., Fundam. Napravl. 23, 71--86 (2007) Full Text: DOI
Aidagulov, R. R.; Shamolin, M. V. General spectral approach to the dynamics of continuum. (English. Russian original) Zbl 1154.74019 J. Math. Sci., New York 154, No. 4, 502-522 (2008); translation from Sovrem. Mat., Fundam. Napravl. 23, 52-70 (2007). MSC: 74J99 74J40 35L82 35S10 76P05 PDFBibTeX XMLCite \textit{R. R. Aidagulov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 154, No. 4, 502--522 (2008; Zbl 1154.74019); translation from Sovrem. Mat., Fundam. Napravl. 23, 52--70 (2007) Full Text: DOI
Aidagulov, R. R.; Shamolin, M. V. Archimedean uniform structures. (English. Russian original) Zbl 1166.22004 J. Math. Sci., New York 154, No. 4, 496-501 (2008); translation from Sovrem. Mat., Fundam. Napravl. 23, 46-51 (2007). Reviewer: Mihail I. Ursul (Oradea) MSC: 22A30 54H11 PDFBibTeX XMLCite \textit{R. R. Aidagulov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 154, No. 4, 496--501 (2008; Zbl 1166.22004); translation from Sovrem. Mat., Fundam. Napravl. 23, 46--51 (2007) Full Text: DOI
Georgievskiĭ, D. V.; Shamolin, M. V. Valeriĭ Vladimirovich Trofimov (1952–2003). (English. Russian original) Zbl 1153.01325 J. Math. Sci., New York 154, No. 4, 449-461 (2008); translation from Sovrem. Mat., Fundam. Napravl. 23, 5-15 (2007). MSC: 01A70 PDFBibTeX XMLCite \textit{D. V. Georgievskiĭ} and \textit{M. V. Shamolin}, J. Math. Sci., New York 154, No. 4, 449--461 (2008; Zbl 1153.01325); translation from Sovrem. Mat., Fundam. Napravl. 23, 5--15 (2007) Full Text: DOI
Shamolin, M. V. Classes of variable dissipation systems with nonzero mean in the dynamics of a rigid body. (English) Zbl 1140.70456 J. Math. Sci., New York 122, No. 1, 2841-2915 (2004). MSC: 70E99 34C40 37N05 70K05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 122, No. 1, 2841--2915 (2004; Zbl 1140.70456) Full Text: DOI
Shamolin, M. V. Foundations of differential and topological diagnostics. (English) Zbl 1067.93020 J. Math. Sci., New York 114, No. 1, 976-1024 (2003); translated from Itogi Nauki Tekhn., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 112, Dynamical systems (2002). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 93B30 34H05 93C15 70Q05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 114, No. 1, 976--1024 (2003; Zbl 1067.93020) Full Text: DOI
Shamolin, M. V. New integrable cases and families of portraits in the plane and spatial dynamics of a rigid body interacting with a medium. (English) Zbl 1067.70006 J. Math. Sci., New York 114, No. 1, 919-975 (2003). Reviewer: Alexei Tsygvintsev (Lyon) MSC: 70E40 70G40 37N05 70F40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 114, No. 1, 919--975 (2003; Zbl 1067.70006) Full Text: DOI
Shamolin, M. V. Some questions of the qualitative theory of ordinary differential equations and dynamics of a rigid body interacting with a medium. (English) Zbl 1006.34035 J. Math. Sci., New York 110, No. 2, 2528-2557 (2002); translation from Dynamical Systems - 10, Itogi Nauki Tekhn., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 79 (2000). Reviewer: Ronald L. Huston (Cincinnati) MSC: 34C23 70H14 34D30 37N05 34C05 37G15 70E15 70K50 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 110, No. 2, 2528--2557 (2002; Zbl 1006.34035); translation from Dynamical Systems - 10, Itogi Nauki Tekhn., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 79 (2000) Full Text: DOI