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Stability analysis of periodic solutions in the problem of the rolling of a ball with a pendulum

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Publication:2932372
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DOI10.20537/vm120412zbMath1299.70004OpenAlexW2181889104MaRDI QIDQ2932372

No author found.

Publication date: 1 December 2014

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu356


zbMATH Keywords

stabilityrolling motionbifurcational diagramLagrange's gyroscope


Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Local and nonlocal bifurcation theory for dynamical systems (37G99) Motion of the gyroscope (70E05)


Related Items (6)

Stabilization of steady rotations of a spherical robot on a vibrating base using feedback ⋮ The rolling motion of a truncated ball without slipping and spinning on a plane ⋮ Controlled motion of a spherical robot with feedback. II. ⋮ Integrable nonsmooth nonholonomic dynamics of a rubber wheel with sharp edges ⋮ Controlled motion of a spherical robot with feedback. I ⋮ The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside




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