The ring system and small satellites of Neptune were discovered during Voyager 2 flyby in 1989 (Smith et al 1989). In this work we analyse the diffusion maps which can give an overview of the system. As a result we found the width of unstable and stable regions close to each satellite. The innermost Galle ring is further from the satellites and is located in a stable region, while Lassel ring (W = 4000 km) has its inner border stable depending onits eccentricity. The same happens to the Le Verrier and Adams rings. They can survive the to close satellites perturbation only for e < 0:012. When the solar radiation force is assumed the rings composed by 1um sized particles has a lifetime about 104 years and 105 when the particles are larger (10um in radius).