Borisov, A. V.; Mikishanina, E. A.; Sokolov, S. V. Dynamics of multi-link uncontrolled wheeled vehicle. (English) Zbl 1468.70003 Russ. J. Math. Phys. 27, No. 4, 433-445 (2020). MSC: 70E60 70E55 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Russ. J. Math. Phys. 27, No. 4, 433--445 (2020; Zbl 1468.70003) Full Text: DOI
Borisov, Alexey; Kilin, Alexander; Karavaev, Yury; Klekovkin, Anton Stabilization of the motion of a spherical robot using feedbacks. (English) Zbl 1443.70024 Appl. Math. Modelling 69, 583-592 (2019). MSC: 70E18 70E60 70F40 70-05 PDFBibTeX XMLCite \textit{A. Borisov} et al., Appl. Math. Modelling 69, 583--592 (2019; Zbl 1443.70024) Full Text: DOI
Borisov, Alexey; Kilin, Alexander; Mamaev, Ivan Invariant submanifolds of genus 5 and a Cantor staircase in the nonholonomic model of a snakeboard. (English) Zbl 1411.70022 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 3, Article ID 1930008, 19 p. (2019). MSC: 70F25 70H33 34C45 70K50 PDFBibTeX XMLCite \textit{A. Borisov} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 3, Article ID 1930008, 19 p. (2019; Zbl 1411.70022) 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.; Bizyaev, Ivan A. Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics. (English. Russian original) Zbl 1446.70034 Russ. Math. Surv. 72, No. 5, 783-840 (2017); translation from Usp. Mat. Nauk 72, No. 5, 3-62 (2017). MSC: 70F25 37J60 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Russ. Math. Surv. 72, No. 5, 783--840 (2017; Zbl 1446.70034); translation from Usp. Mat. Nauk 72, No. 5, 3--62 (2017) Full Text: DOI
Borisov, Alexey V.; Mamaev, Ivan S. An inhomogeneous Chaplygin sleigh. (English, Russian) Zbl 1404.37073 Regul. Chaotic Dyn. 22, No. 4, 435-447 (2017); translation in Nelineĭn. Din. 13, No. 4, 625–639 (2017). Reviewer: Teodor Atanacković (Novi Sad) MSC: 37J60 70F25 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{I. S. Mamaev}, Regul. Chaotic Dyn. 22, No. 4, 435--447 (2017; Zbl 1404.37073); translation in Nelineĭn. Din. 13, No. 4, 625--639 (2017) Full Text: DOI DOI
Borisov, A. V.; Vetchanin, E. V.; Kilin, A. A. Control of the motion of a triaxial ellipsoid in a fluid using rotors. (English. Russian original) Zbl 1382.37089 Math. Notes 102, No. 4, 455-464 (2017); translation from Mat. Zametki 102, No. 4, 503-513 (2017). MSC: 37N05 70Q05 70E60 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Math. Notes 102, No. 4, 455--464 (2017; Zbl 1382.37089); translation from Mat. Zametki 102, No. 4, 503--513 (2017) Full Text: DOI
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S. The Hess-Appelrot case and quantization of the rotation number. (English, Russian) Zbl 1370.70023 Regul. Chaotic Dyn. 22, No. 2, 180-196 (2017); translation in Nelineĭn. Din. 13, No. 3, 433-452 (2017). MSC: 70E17 37E45 PDFBibTeX XMLCite \textit{I. A. Bizyaev} et al., Regul. Chaotic Dyn. 22, No. 2, 180--196 (2017; Zbl 1370.70023); translation in Nelineĭn. Din. 13, No. 3, 433--452 (2017) Full Text: DOI 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
Borisov, A. V.; Mamaev, I. S. Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems. (English) Zbl 1229.70038 Regul. Chaotic Dyn. 13, No. 5, 443-490 (2008). MSC: 70F25 70E18 70E40 37J60 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{I. S. Mamaev}, Regul. Chaotic Dyn. 13, No. 5, 443--490 (2008; Zbl 1229.70038) Full Text: DOI