Resumen de Melnikov-Type Theorem for Time Reversible System

Xiaolong He, Huanhuan Qiu, Jianhua Shen

• We employ the Craig–Wayne–Bourgain method to study the persistence of quasi-periodic solutions under nonlinear perturbation for a class of finitely dimensional reversible system. Our results provide an alternative and detailed proof for the existence of lower dimensional invariant torus for the reversible system without using the second Melnikov condition.