Apparatus for cutting grass comprising: • a lawn mower provided with: ∘ movement means for moving said lawn mower at least inside a cutting area; ∘ one or more blades for cutting grass in said cutting area; • a perimeter cable, bounding said cutting area, wherein said perimeter cable has at least one first portion having a first set conformation; • a management device for generating an electric signal and propagating the electric signal in said cable; • a recharging base for said lawn mower positioned outside said cutting area; said lawn mower further comprising a control unit provided with: ∘ sensor means configured for detecting said electric signal; ∘ a recognition module configured for: ▪ determining, as a function of said electric signal propagating in said first portion, first main data that are representative of the first conformation of said first portion of the cable; ▪ comparing said first main data with said first pre-stored reference data that are representative of a first reference conformation; ▪ generating a first notification signal in case of correspondence between said first main data and said first reference data; ▪ a first auxiliary module associated with said first recognition module and configured for: • receiving said first notification signal (NS 1); • controlling said movement means, following reception of said first notification signal, such that said lawn mower is arranged in a direction (d) that is transverse to said cable with a front part facing said cutting area, starting from a first position near said first portion; • returning the lawn mower along the direction (d) until the lawn mower meets the recharging base. wherein: • said lawn mower comprises first recharging means in the rear part thereof; • said recharging base comprises corresponding second recharging means facing said first recharging means, said first and second means being configured for an operational coupling in the recharging base during a recharging step. • a lawn mower provided with: ∘ movement means for moving said lawn mower at least inside a cutting area; ∘ one or more blades for cutting grass in said cutting area; ∘ movement means for moving said lawn mower at least inside a cutting area; ∘ one or more blades for cutting grass in said cutting area; • a perimeter cable, bounding said cutting area, wherein said perimeter cable has at least one first portion having a first set conformation; • a management device for generating an electric signal and propagating the electric signal in said cable; • a recharging base for said lawn mower positioned outside said cutting area; ∘ sensor means configured for detecting said electric signal; ∘ a recognition module configured for: ▪ determining, as a function of said electric signal propagating in said first portion, first main data that are representative of the first conformation of said first portion of the cable; ▪ comparing said first main data with said first pre-stored reference data that are representative of a first reference conformation; ▪ generating a first notification signal in case of correspondence between said first main data and said first reference data; ▪ a first auxiliary module associated with said first recognition module and configured for: • receiving said first notification signal (NS 1); • controlling said movement means, following reception of said first notification signal, such that said lawn mower is arranged in a direction (d) that is transverse to said cable with a front part facing said cutting area, starting from a first position near said first portion; • returning the lawn mower along the direction (d) until the lawn mower meets the recharging base. ▪ determining, as a function of said electric signal propagating in said first portion, first main data that are representative of the first conformation of said first portion of the cable; ▪ comparing said first main data with said first pre-stored reference data that are representative of a first reference conformation; ▪ generating a first notification signal in case of correspondence between said first main data and said first reference data; ▪ a first auxiliary module associated with said first recognition module and configured for: • receiving said first notification signal (NS 1); • controlling said movement means, following reception of said first notification signal, such that said lawn mower is arranged in a direction (d) that is transverse to said cable with a front part facing said cutting area, starting from a first position near said first portion; • returning the lawn mower along the direction (d) until the lawn mower meets the recharging base. • receiving said first notification signal (NS 1); • controlling said movement means, following reception of said first notification signal, such that said lawn mower is arranged in a direction (d) that is transverse to said cable with a front part facing said cutting area, starting from a first position near said first portion; • returning the lawn mower along the direction (d) until the lawn mower meets the recharging base. • said lawn mower comprises first recharging means in the rear part thereof; • said recharging base comprises corresponding second recharging means facing said first recharging means,