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Found 74 Documents (Results 1–74)

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
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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
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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
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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
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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
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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
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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
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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
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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
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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).
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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
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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
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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
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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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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).
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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).
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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).
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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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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
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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
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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
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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).
MSC:  70E45 70E40
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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).
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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).
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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).
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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
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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).
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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).
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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).
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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
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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).
MSC:  37N05 70E40 37J35
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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).
MSC:  70E40 70E45 37J35
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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
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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
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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
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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
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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
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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).
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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
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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
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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).
MSC:  58A05 18A99 57R99
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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).
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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).
MSC:  22A30 54H11
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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).
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