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On the motion of a mechanical system inside a rolling ball

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Publication:358455
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DOI10.1134/S1560354713010115zbMath1303.37020WikidataQ125054450 ScholiaQ125054450MaRDI QIDQ358455

Mohammad Hasan, M. Dambrine

Publication date: 8 August 2013

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)


zbMATH Keywords

Lagrange equationsHamilton principlenonholonomic constraintrolling ball


Mathematics Subject Classification ID

Motion of a rigid body in contact with a solid surface (70E18) Lagrange's equations (70H03) Nonholonomic dynamical systems (37J60)


Related Items (6)

Dynamics of the Chaplygin sleigh on a cylinder ⋮ On the control of a robot ball using two omniwheels ⋮ The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside ⋮ The dynamics and control of a spherical robot with an internal omniwheel platform ⋮ Dynamics and control of an omniwheel vehicle ⋮ Hamiltonization of elementary nonholonomic systems



Cites Work

  • Two non-holonomic integrable problems tracing back to Chaplygin




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