The dynamics of systems with servoconstraints. II
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Publication:892762
DOI10.1134/S1560354715040012zbMath1353.70012MaRDI QIDQ892762
Publication date: 12 November 2015
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Lie groupssymmetriesleft-invariant constraintsservoconstraintssystems with quadratic right-hand sidesvakonomic systems
Ordinary differential equations and systems on manifolds (34C40) Motion of a rigid body in contact with a solid surface (70E18)
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Cites Work
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- On the dynamic model and motion planning for a spherical rolling robot actuated by orthogonal internal rotors
- How to control the Chaplygin ball using rotors. II
- The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere
- Topological analysis of an integrable system related to the rolling of a ball on a sphere
- The dynamics of systems with servoconstraints. I
- How to control Chaplygin's sphere using rotors
- A new approach to the vakonomic mechanics
- Dynamics of systems with nonintegrable constraints. I
- Currents on Lie groups with nonholonomic connection and integrable non- Hamiltonian systems
- On the existence of an integral invariant of a smooth dynamic system
- Invariant measures of Euler-Poincaré equations on Lie algebras
- Equivalence of dynamics for nonholonomic systems with transverse constraints
- Tensor invariants of quasihomogeneous systems of differential equations, and the Kovalevskaya-Lyapunov asymptotic method
- On the invariant measures of Euler-Poincaré equations on unimodular groups
- The problem of realizing constraints in dynamics
- Nonholonomic versus vakonomic dynamics
- Vakonomic mechanics versus non-holonomic mechanics: A unified geometrical approach
- Das Hamiltonsche Prinzip bei nichtholonomen Systemen
- Dynamical systems X. General theory of vortices. Transl. from the Russian by A. V. Ovchinnikov
- On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints
- The problem of optimal control of a Chaplygin ball by internal rotors
- Dynamical systems with multivalued integrals on a torus
- The problem of drift and recurrence for the rolling Chaplygin ball
- On the validity of the vakonomic model and the Chetaev model for constraint dynamical systems
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Remarks on integrable systems
- The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside
- Dynamics and control of an omniwheel vehicle
- Variational principles for constrained systems: Theory and experiment
- Non-holonomic dynamics and Poisson geometry
- Geometrisation of Chaplygin's reducing multiplier theorem
- Equivalence of the dynamics of nonholonomic and variational nonholonomic systems for certain initial data
- Invariants of real low dimension Lie algebras
- Generalized Hamiltonian Dynamics
- On the geometry of Lie algebras and Poisson tensors
- Necessary condition for the existence of algebraic first integrals
