Reduction of constrained mechanical systems and stability of relative equilibria

From MaRDI portal
Publication:1908067

DOI10.1007/BF02099604zbMath0859.70012MaRDI QIDQ1908067

Charles-Michel Marle

Publication date: 10 April 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)




Related Items

REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRYDynamic convexity for natural thermostatted systems.Hamiltonian theory of constrained impulsive motionFirst integrals and symmetries of nonholonomic systemsNonholonomic mechanical systems with symmetryRemarks on multisymplectic reductionOn the variational mechanics with nonlinear constraintsIper-ideal kinetic constraints in continuum mechanicsGeometric integrators and nonholonomic mechanicsThe Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systemsHamiltonization of solids of revolution through reductionConservation of energy and momenta in nonholonomic systems with affine constraintsNonlinear nonholonomic systems: a simple approach and various examplesLagrange-d'Alembert-Poincaré equations by several stagesGeometric reduction in optimal control theory with symmetriesGeneral framework for nonholonomic mechanics: Nonholonomic systems on Lie affgebroidsQuasi-Chaplygin systems and nonholonomic rigid body dynamicsThe geometrical theory of constraints applied to the dynamics of vakonomic mechanical systems: The vakonomic bracketHigher-order mechanical systems with constraintsLagrangian reduction of generalized nonholonomic systemsMechanical systems with nonholonomic constraintsVariational development of the semi-symplectic geometry of nonholonomic mechanicsUnnamed ItemAsymptotic and Lyapunov stability of constrained and Poisson equilibriaCartan forms for first order constrained variational problemsDynamics on Leibniz manifoldsOn classical mechanical systems with nonlinear constraintsPoint reduction in almost symplectic manifoldsA note on the conservation of energy and volume in the setting of nonholonomic mechanical systemsReduction of constrained systems with symmetriesNonholonomic constraints in time-dependent mechanicsOpen systems in classical mechanicsWhat is a completely integrable nonholonomic dynamical system?Nonholonomic Noether theorem and reduction of symmetriesReduction of nonholonomic mechanical systems with symmetriesAffine connections and distributions with applications to nonholonomic mechanicsVarious approaches to conservative and nonconservative nonholonomic systemsExamples of singular nonholonomic reductionUnnamed ItemVakonomic mechanics versus non-holonomic mechanics: A unified geometrical approachOn the geometry of Lagrangian mechanics with non-holonomic constraintsThe non-holonomic double pendulum: an example of non-linear non-holonomic systemCosymplectic reduction of constrained systems with symmetryGeneralized nonholonomic mechanics, servomechanisms and related bracketsA geometric characterization of certain first integrals for nonholonomic systems with symmetries



Cites Work