Conservation of energy and momenta in nonholonomic systems with affine constraints

DOI10.1134/S1560354715040048zbMath1353.70033arXiv1505.01172MaRDI QIDQ892766

Nicola Sansonetto, Francesco Fassoò

Publication date: 12 November 2015

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

Full work available at URL: https://arxiv.org/abs/1505.01172

zbMATH Keywords

conservation of energynonholonomic mechanical systemsgauge momentanonholonomic Noether theoremreaction-annihilator distribution

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Nonholonomic systems related to the dynamics of a system of particles (70F25) Motion of a rigid body in contact with a solid surface (70E18) Nonholonomic dynamical systems (37J60)

Related Items (20)

Conservation of `moving' energy in nonholonomic systems with affine constraints and integrability of spheres on rotating surfaces ⋮ Spiral chaos in the nonholonomic model of a Chaplygin top ⋮ Moving energies hide within Noether’s first theorem ⋮ On the dynamics of a heavy symmetric ball that rolls without sliding on a uniformly rotating surface of revolution ⋮ On some aspects of the dynamics of a ball in a rotating surface of revolution and of the kasamawashi art ⋮ Conservation of energy and momenta in nonholonomic systems with affine constraints ⋮ Nonlinear nonholonomic systems: a simple approach and various examples ⋮ Virtual affine nonholonomic constraints ⋮ A geometric field theory of dislocation mechanics ⋮ On a time-dependent nonholonomic oscillator ⋮ Non‐holonomic rolling of a ball on the surface of a rotating cylinder ⋮ Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors ⋮ An inhomogeneous Chaplygin sleigh ⋮ The Hojman construction and hamiltonization of nonholonomic systems ⋮ Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems ⋮ Dynamics of the Chaplygin ball on a rotating plane ⋮ Moving energies as first integrals of nonholonomic systems with affine constraints ⋮ The Jacobi integral in nonholonomic mechanics ⋮ Integrability of nonholonomic Heisenberg type systems ⋮ Nonlinear splittings on fibre bundles

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