%0 Journal Article %A H. Ait Abderrahmane and M. Fayed and H. D. Ng and G. H. Vatistas %D 2017 %J International Journal of Mechanical and Mechatronics Engineering %B World Academy of Science, Engineering and Technology %I Open Science Index 124, 2017 %T Synchronization of Traveling Waves within a Hollow-Core Vortex %U https://publications.waset.org/pdf/10006754 %V 124 %X 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. %P 742 - 746