Nonholonomic stability aspects of piecewise holonomic systems
From MaRDI portal
Publication:1289585
DOI10.1016/S0034-4877(98)80006-2zbMath0942.70013MaRDI QIDQ1289585
Publication date: 3 August 2000
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
exponential stabilityHamiltonian systemsenergy dissipationChaplygin sleighnon-holonomic systemsintermittent contactpiecewise holonomic systems
Nonholonomic systems related to the dynamics of a system of particles (70F25) Holonomic systems related to the dynamics of a system of particles (70F20) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)
Related Items
Regular and chaotic motions of a Chaplygin sleigh under periodic pulsed torque impacts, Leg recirculation in horizontal plane locomotion, Realizing nonholonomic dynamics as limit of friction forces, Quasivelocities and symmetries in non-holonomic systems, A historical review on nonholomic mechanics, Linearization approaches for general multibody systems validated through stability analysis of a benchmark bicycle model, Chaos in a soda can: non-periodic rocking of upright cylinders with sensitive dependence on initial conditions, Invariant forms in hybrid and impact systems and a taming of Zeno, Existence of invariant volumes in nonholonomic systems subject to nonlinear constraints, On the nonlinear dynamics of automated vehicles -- a nonholonomic approach, Steering by transient destabilization in piecewise-holonomic models of legged locomotion, Stability analysis of a waveboard multibody model with toroidal wheels, Dynamics and stability of a rimless spoked wheel: a simple 2D system with impacts, Model selection for hybrid dynamical systems via sparse regression, Quantization of a Nonholonomic System, Spring-mass running: simple approximate solution and application to gait stability, Asymptotic Hamiltonian dynamics: The Toda lattice, the three-wave interaction and the non-holonomic Chaplygin sleigh
Cites Work