A new type of Mei adiabatic invariant induced by perturbation to Mei symmetry for nonholonomic mechanical systems

The Lie symmetry of the system is discussed;the perturbation of symmetries under the infinitesimal transformations is studied;s-order adiabatic invariants are constructed;and the existence conditions and forms of adiabatic invariants is presented.

Perturbation to the symmetries of the systems under infinitesimal transformations, s-order adiabatic invariants, existence conditions an.

Perturbation to symmetries and adiabatic invariant for nonholonomic controllable mechanical system in phase place;

Lie symmetries and adiabatic invariants for holonomic systems in event space;

Perturbation of Lie symmetries and a type of generalized Hojman adiabatic invariants for variable mass systems with unilateral holonomic constraints;