Abstract
Based on the concept of adiabatic invariant, the perturbation to Noether–Mei symmetry and adiabatic invariants for nonholonomic mechanical systems in phase space are studied. The definition of the perturbation to Noether–Mei symmetry for the system is presented, and the criterion of the perturbation to Noether–Mei symmetry is given. Meanwhile, the Noether adiabatic invariants and the Mei adiabatic invariants for the perturbed system are obtained.
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