Perturbation to Weak Noether Symmetry and Adiabatic Invariants for Lagrange Systems
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Abstract
Based on the concept of adiabatic invariant, perturbations to weak Noether symmetry and adiabatic invariants for Lagrange systems are studied. The exact invariants of the symmetry for the system without perturbation are given. Perturbation to weakly Noether symmetry is discussed and the adiabatic invariants of the perturbed system are obtained.
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