Bizyaev, Ivan; Bolotin, Sergey; Mamaev, Ivan Normal forms and averaging in an acceleration problem in nonholonomic mechanics. (English) Zbl 1465.70056 Chaos 31, No. 1, 013132, 16 p. (2021). MSC: 70F25 37J60 PDFBibTeX XMLCite \textit{I. Bizyaev} et al., Chaos 31, No. 1, 013132, 16 p. (2021; Zbl 1465.70056) Full Text: DOI
Artemova, Elizaveta M.; Karavaev, Yury L.; Mamaev, Ivan S.; Vetchanin, Evgeny V. Dynamics of a spherical robot with variable moments of inertia and a displaced center of mass. (English) Zbl 1483.70003 Regul. Chaotic Dyn. 25, No. 6, 689-706 (2020). MSC: 70B15 37J60 70E18 PDFBibTeX XMLCite \textit{E. M. Artemova} et al., Regul. Chaotic Dyn. 25, No. 6, 689--706 (2020; Zbl 1483.70003) Full Text: DOI
Mamaev, Ivan S.; Tenenev, Valentin A.; Vetchanin, Evgeniĭ V. Dynamics of a body with a sharp edge in a viscous fluid. (English) Zbl 1418.37126 Russ. J. Nonlinear Dyn. 14, No. 4, 473-494 (2018). MSC: 37N10 35Q30 37M05 76D05 PDFBibTeX XMLCite \textit{I. S. Mamaev} et al., Russ. J. Nonlinear Dyn. 14, No. 4, 473--494 (2018; Zbl 1418.37126) Full Text: DOI MNR
Mamaev, Ivan S.; Vetchanin, Evgeny V. The self-propulsion of a foil with a sharp edge in a viscous fluid under the action of a periodically oscillating rotor. (English) Zbl 1412.37077 Regul. Chaotic Dyn. 23, No. 7-8, 875-886 (2018). MSC: 37N10 76D09 70K50 PDFBibTeX XMLCite \textit{I. S. Mamaev} and \textit{E. V. Vetchanin}, Regul. Chaotic Dyn. 23, No. 7--8, 875--886 (2018; Zbl 1412.37077) Full Text: DOI
Borisov, Alexey V.; Mamaev, Ivan S.; Vetchanin, Evgeny V. Self-propulsion of a smooth body in a viscous fluid under periodic oscillations of a rotor and circulation. (English) Zbl 1412.37076 Regul. Chaotic Dyn. 23, No. 7-8, 850-874 (2018). MSC: 37N10 76D09 70K50 93C10 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 23, No. 7--8, 850--874 (2018; Zbl 1412.37076) Full Text: DOI
Borisov, Alexey V.; Mamaev, Ivan S.; Vetchanin, Eugeny V. Dynamics of a smooth profile in a medium with friction in the presence of parametric excitation. (English) Zbl 1411.70027 Regul. Chaotic Dyn. 23, No. 4, 480-502 (2018). MSC: 70H08 70Exx 76Bxx 76Dxx PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 23, No. 4, 480--502 (2018; Zbl 1411.70027) Full Text: DOI
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S. The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration. (English) Zbl 1398.37056 Regul. Chaotic Dyn. 22, No. 8, 955-975 (2017). MSC: 37J60 34A34 70F25 70E18 PDFBibTeX XMLCite \textit{I. A. Bizyaev} et al., Regul. Chaotic Dyn. 22, No. 8, 955--975 (2017; Zbl 1398.37056) Full Text: DOI arXiv
Borisov, Alexey V.; Mamaev, Ivan S.; Erdakova, Nadezhda N. Dynamics of a body sliding on a rough plane and supported at three points. (English) Zbl 1474.70019 Theor. Appl. Mech. (Belgrade) 43, No. 2, 169-190 (2016). MSC: 70F40 70E18 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Theor. Appl. Mech. (Belgrade) 43, No. 2, 169--190 (2016; Zbl 1474.70019) Full Text: DOI
Bizyaev, Ivan Alekseevich; Borisov, Alekseĭ Vladimirovich; Kilin, Aleksandr Aleksandrovich; Mamaev, Ivan Sergeevich Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups. (English, Russian) Zbl 1367.53030 Regul. Chaotic Dyn. 21, No. 6, 759-774 (2016); translation in Nelineĭn. Din. 13, No. 1, 129-146 (2017). MSC: 53C17 37D40 53D25 PDFBibTeX XMLCite \textit{I. A. Bizyaev} et al., Regul. Chaotic Dyn. 21, No. 6, 759--774 (2016; Zbl 1367.53030); translation in Nelineĭn. Din. 13, No. 1, 129--146 (2017) Full Text: DOI MNR
Borisov, Alexey V.; Mamaev, Ivan S. Adiabatic invariants, diffusion and acceleration in rigid body dynamics. (English) Zbl 1377.70021 Regul. Chaotic Dyn. 21, No. 2, 232-248 (2016). MSC: 70E15 70K55 70F25 37J30 37M25 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{I. S. Mamaev}, Regul. Chaotic Dyn. 21, No. 2, 232--248 (2016; Zbl 1377.70021) Full Text: DOI
Borisov, Alexey V.; Karavaev, Yury L.; Mamaev, Ivan S.; Erdakova, Nadezhda N.; Ivanova, Tatyana B.; Tarasov, Valery V. Experimental investigation of the motion of a body with an axisymmetric base sliding on a rough plane. (English) Zbl 1343.70017 Regul. Chaotic Dyn. 20, No. 5, 518-541 (2015); translation in Nelineĭn. Din. 11, No. 3, 547-577 (2015). MSC: 70F40 70E18 70-05 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 20, No. 5, 518--541 (2015; Zbl 1343.70017); translation in Nelineĭn. Din. 11, No. 3, 547--577 (2015) Full Text: DOI
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S. The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside. (English) Zbl 1308.70003 Regul. Chaotic Dyn. 19, No. 2, 198-213 (2014). MSC: 70E18 37J60 37J35 PDFBibTeX XMLCite \textit{I. A. Bizyaev} et al., Regul. Chaotic Dyn. 19, No. 2, 198--213 (2014; Zbl 1308.70003) Full Text: DOI
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A. The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere. (English) Zbl 1367.70007 Regul. Chaotic Dyn. 18, No. 3, 277-328 (2013). MSC: 70E18 70H33 37J60 37J35 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 18, No. 3, 277--328 (2013; Zbl 1367.70007) Full Text: DOI
Vetchanin, Evgeny V.; Mamaev, Ivan S.; Tenenev, Valentin A. The self-propulsion of a body with moving internal masses in a viscous fluid. (English) Zbl 1329.70052 Regul. Chaotic Dyn. 18, No. 1-2, 100-117 (2013). MSC: 70H99 70G65 76D05 76M12 PDFBibTeX XMLCite \textit{E. V. Vetchanin} et al., Regul. Chaotic Dyn. 18, No. 1--2, 100--117 (2013; Zbl 1329.70052) Full Text: DOI
Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S. Rolling of a ball without spinning on a plane: the absence of an invariant measure in a system with a complete set of integrals. (English) Zbl 1267.37066 Regul. Chaotic Dyn. 17, No. 6, 571-579 (2012). Reviewer: Liviu Popescu (Craiova) MSC: 37J60 37J35 70H45 PDFBibTeX XMLCite \textit{A. V. Bolsinov} et al., Regul. Chaotic Dyn. 17, No. 6, 571--579 (2012; Zbl 1267.37066) Full Text: DOI
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S. Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. (English) Zbl 1309.37049 Regul. Chaotic Dyn. 16, No. 5, 443-464 (2011). MSC: 37J60 70F25 PDFBibTeX XMLCite \textit{A. V. Bolsinov} et al., Regul. Chaotic Dyn. 16, No. 5, 443--464 (2011; Zbl 1309.37049) Full Text: DOI
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. On the model of non-holonomic billiard. (English) Zbl 1253.70008 Regul. Chaotic Dyn. 16, No. 6, 653-662 (2011). MSC: 70E40 37J35 34D20 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 16, No. 6, 653--662 (2011; Zbl 1253.70008) Full Text: DOI
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S. Chaos in a restricted problem of rotation of a rigid body with a fixed point. (English) Zbl 1229.70011 Regul. Chaotic Dyn. 13, No. 3, 221-233 (2008). MSC: 70E17 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 13, No. 3, 221--233 (2008; Zbl 1229.70011) Full Text: DOI