We have searched for corotations (CR) in three Southern grand design spiral galaxies: NGC 1365, NGC 1566 and NGC 2997. We have also introduced a method of quantifying errors in the phase diagram used to detect CR. We established the m=2 pattern CR at 12.1 kpc, 9.4 kpc and 7 kpc, for NGC 1365, NGC 1566 and NGC 2997, respectively. By using published rotation curves, we could determine spiral pattern angular speeds of 25.0 km/sec/kpc, 12.2 km/sec/kpc and 17.6 km/sec/kpc, respectively. A three armed component has been detected in NGC 2997, with the CR placed at 8.7 kpc with a pattern angular speed Omega_{CR_3}=12.7 km/sec/kpc. An m=1 component was detected in NGC 1566. We warily locate the CR at 7.1 kpc, with a pattern angular speed Omega_{CR} approx. 16.6 km/sec/kpc. This pattern does not present ILR. Ages have been determined by studying the radial density profile of the m=2 Fourier components in g (newly formed stars) and i (perturbing SDW supported by the disk of old stars), aided by the global aspect of the real spiral pattern in comparison with numerical simulations. The pattern is approx. 1200 Myr old in NGC 1365, approx. 800 Myr old in NGC 1566 and younger than 80 Myr in NGC 2997.

49 pages, 24 figures, 2 tables. Accepted for publication in ApJ Large figures can be find at http://www.inaoep.mx/~puerari/resonances