Abstract: We studied the perturbation of Mei symmetries and adiabatic invariants for dynamical systems with nonstandard Lagrangians. Firstly, we gave the EulerLagrange equation of the system, the criterion equation to Mei symmetry and the exact invariants. Secondly, we gave the differential equations of motion of the system after a small disturbance,  studied the perturbation of Mei symmetry and the adiabatic invariants for dynamical systems under a small disturbance, and obtained the Mei adiabatic invariants of the system after a small disturbance. Finally, we  illustrated the application of the results.

Key words: Mei symmetry, nonstandard Lagrangians, perturbation, adiabatic invariant