RENORMALIZATION GROUP METHOD FOR A CLASS OF LAGRANGE MECHANICAL SYSTEMS

Considering the important role of small parameter perturbation term in mechanical systems, perturbed dynamic differential equations Lagrange systems are established. The basic idea and method solving ordinary by normal renormalization group transplanted into a kind Euler-Lagrange obtained, first-order uniformly valid asymptotic approximate solution with single-degree-of-freedom is given. Two examples used to show calculation steps detail as well verify correctness method. innovative finding this paper that for integrable its also satisfy Hamilton system's structure.