Macchina ribobinatrice per la produzione di logs

Rewinder for the production of logs of paper material, comprising a winding station for forming paper logs by winding a paper web on cores (A) that follow a first path between a first point (P1) where the winding begins and a second point (P2) where the winding ends; a second path between the second point (P2) and a third logs-releasing point (P3); means for stabilizing the cores comprising members which can be inserted into the cores; a right side and a left side. The cores stabilization means comprise independent stabilization units (G1, G2, G3) adapted for simultaneously stabilizing a plurality of cores. Each stabilization unit comprises, on both said right and left sides, a pin (4) which can be inserted into the cores and is configured and controlled to insert the pin in a core in said first point and extract it from the core in said third point.