Borisov, Alexey V.; Tsiganov, Andrey V. On the nonholonomic Routh sphere in a magnetic field. (English) Zbl 1441.37069 Regul. Chaotic Dyn. 25, No. 1, 18-32 (2020). MSC: 37J60 70F25 74F15 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 25, No. 1, 18--32 (2020; Zbl 1441.37069) Full Text: DOI
Borisov, Alekseĭ Vladimirovich; Tsyganov, Andreĭ Vladimirovich Influence of Bartnett-London and Einstein-de Haas effects on the motion of the nonholonomic sphere of Routh. (Russian. English summary) Zbl 1479.37067 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 29, No. 4, 583-598 (2019). MSC: 37J60 70F25 74F15 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{A. V. Tsyganov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 29, No. 4, 583--598 (2019; Zbl 1479.37067) Full Text: DOI MNR
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
Burov, Aleksandr Anatol’evich; Kosenko, Ivan Ivanovich Motion of a satellite with a variable mass distribution in a central field of Newtonian attraction. (Russian. English summary) Zbl 1381.37065 Nelineĭn. Din. 13, No. 4, 519-532 (2017). MSC: 37J25 37J40 37J45 68U20 70E55 74H15 PDFBibTeX XMLCite \textit{A. A. Burov} and \textit{I. I. Kosenko}, Nelineĭn. Din. 13, No. 4, 519--532 (2017; Zbl 1381.37065) Full Text: DOI MNR
Rodnikov, Aleksandr Vladimirovich; Krasil’nikov, Pavel Sergeevich On spacial motions of an orbital tethered system. (Russian. English summary) Zbl 1382.37093 Nelineĭn. Din. 13, No. 4, 505-518 (2017). MSC: 37N05 70F15 70F20 70K55 PDFBibTeX XMLCite \textit{A. V. Rodnikov} and \textit{P. S. Krasil'nikov}, Nelineĭn. Din. 13, No. 4, 505--518 (2017; Zbl 1382.37093) Full Text: DOI MNR
Sławianowski, Jan Jerzy; Kovalchuk, Vasyl; Gołubowska, Barbara; Martens, Agnieszka; Rożko, Ewa Eliza Mechanics of affine bodies. Towards affine dynamical symmetry. (English) Zbl 1370.37113 J. Math. Anal. Appl. 446, No. 1, 493-520 (2017). MSC: 37J35 70B10 70G60 74H45 PDFBibTeX XMLCite \textit{J. J. Sławianowski} et al., J. Math. Anal. Appl. 446, No. 1, 493--520 (2017; Zbl 1370.37113) Full Text: DOI
Doroshin, Anton V. Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. II: The heteroclinic chaos investigation. (English) Zbl 1470.70035 Commun. Nonlinear Sci. Numer. Simul. 31, No. 1-3, 171-196 (2016). MSC: 70M20 37D45 70K55 PDFBibTeX XMLCite \textit{A. V. Doroshin}, Commun. Nonlinear Sci. Numer. Simul. 31, No. 1--3, 171--196 (2016; Zbl 1470.70035) Full Text: DOI
Doroshin, Anton V. Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. I: Main models and solutions. (English) Zbl 1470.70034 Commun. Nonlinear Sci. Numer. Simul. 31, No. 1-3, 151-170 (2016). MSC: 70M20 37D45 70K55 PDFBibTeX XMLCite \textit{A. V. Doroshin}, Commun. Nonlinear Sci. Numer. Simul. 31, No. 1--3, 151--170 (2016; Zbl 1470.70034) 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. 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
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
Teofilatto, P.; Graziani, F. On librational motion of spacecraft. (English) Zbl 1080.70538 Chaos Solitons Fractals 7, No. 10, 1721-1744 (1996). MSC: 70M20 70K55 37N05 PDFBibTeX XMLCite \textit{P. Teofilatto} and \textit{F. Graziani}, Chaos Solitons Fractals 7, No. 10, 1721--1744 (1996; Zbl 1080.70538) Full Text: DOI
Marsden, Jerrold E.; Scheurle, Jürgen Lagrangian reduction and the double spherical pendulum. (English) Zbl 0778.70016 Z. Angew. Math. Phys. 44, No. 1, 17-43 (1993). Reviewer: I.J.Dorfman (Moskva) MSC: 70H03 70H33 70F25 37G99 PDFBibTeX XMLCite \textit{J. E. Marsden} and \textit{J. Scheurle}, Z. Angew. Math. Phys. 44, No. 1, 17--43 (1993; Zbl 0778.70016) Full Text: DOI
Dovbysh, S. A. Kolmogorov stability, the impossibility of Fermi acceleration and the existence of periodic solutions in some Hamiltonian-type systems. (English. Russian original) Zbl 0786.70011 J. Appl. Math. Mech. 56, No. 2, 188-197 (1992); translation from Prikl. Mat. Mekh. 56, No. 2, 218-229 (1992). MSC: 70H05 37C75 PDFBibTeX XMLCite \textit{S. A. Dovbysh}, J. Appl. Math. Mech. 56, No. 2, 1 (1992; Zbl 0786.70011); translation from Prikl. Mat. Mekh. 56, No. 2, 218--229 (1992) Full Text: DOI
Burov, A. A. On the use of extensions of the real number field to seek completely integrable Hamiltonian systems. (English. Russian original) Zbl 0711.70019 J. Appl. Math. Mech. 52, No. 6, 809-810 (1988); translation from Prikl. Mat. Mekh. 52, No. 6, 1036-1038 (1988). MSC: 70H05 37J35 37K10 37J99 PDFBibTeX XMLCite \textit{A. A. Burov}, J. Appl. Math. Mech. 52, No. 6, 809--810 (1988; Zbl 0711.70019); translation from Prikl. Mat. Mekh. 52, No. 6, 1036--1038 (1988) Full Text: DOI
Karapetyan, A. V.; Rubanovskij, V. N. The bifurcation and stability of permanent rotations of a heavy triaxial ellipsoid on a smooth plane. (English. Russian original) Zbl 0653.70004 J. Appl. Math. Mech. 51, No. 2, 202-208 (1987); translation from Prikl. Mat. Mekh. 51, No. 2, 260-267 (1987). MSC: 70E15 70K20 37G99 PDFBibTeX XMLCite \textit{A. V. Karapetyan} and \textit{V. N. Rubanovskij}, J. Appl. Math. Mech. 51, No. 2, 202--208 (1987; Zbl 0653.70004); translation from Prikl. Mat. Mekh. 51, No. 2, 260--267 (1987) Full Text: DOI