Adynamical system analysis is performed on the zero equation: W transition model (Sandhu, J. P. S., and Ghosh, S., “A local correlation-based zero-equation transition model,” Computers & Fluids, Vol. 214, 2021, p 10475) to study the sensitivity to initial conditions. The analysis is performed for homogeneous and non-homogeneous flow, focusing on the approximated intermittency function used in the model. The analysis showed that the use of turbulent to molecular viscosity ratio (turbulent Reynolds number) in the approximate intermittency functionwas the reason for the: W transition model’s sensitivity to initial conditions, particularly for cases with low freestream turbulence intensity. A comparison with other models in the literature showed that the use of wall distance in such functions aids in avoiding the sensitivity issue. © 2021, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.