TY - JFULL AU - H. Ait Abderrahmane and M. Fayed and H. D. Ng and G. H. Vatistas PY - 2017/5/ TI - Synchronization of Traveling Waves within a Hollow-Core Vortex T2 - International Journal of Mechanical and Mechatronics Engineering SP - 741 EP - 746 VL - 11 SN - 1307-6892 UR - https://publications.waset.org/pdf/10006754 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 124, 2017 N2 - The present paper expands details and confirms the transition mechanism between two subsequent polygonal patterns of the hollow-core vortex. Using power spectral analysis, we confirm in this work that the transition from any N-gon to (N+1)-gon pattern observed within a hollow-core vortex of shallow rotating flows occurs in two steps. The regime was quasi-periodic before the frequencies lock (synchronization). The ratios of locking frequencies were found to be equal to (N-1)/N. ER -